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42341044014324 = 2232111061109192369
BaseRepresentation
bin10011010000010010010101…
…11000110100110011110100
312112220202122011020211221100
421220021022320310303310
521022203424231424244
6230015112422050100
711630016353613456
oct1150111270646364
9175822564224840
1042341044014324
1112544810576650
1248b9b89b79930
131a819880bac33
14a654631a22d6
154d65c3867b69
hex26824ae34cf4

42341044014324 has 144 divisors (see below), whose sum is σ = 116977069460160. Its totient is φ = 12806638464000.

The previous prime is 42341044014319. The next prime is 42341044014331.

42341044014324 is a `hidden beast` number, since 4 + 234 + 10 + 4 + 401 + 4 + 3 + 2 + 4 = 666.

42341044014324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458344012 + ... + 458436380.

It is an arithmetic number, because the mean of its divisors is an integer number (812340760140).

Almost surely, 242341044014324 is an apocalyptic number.

42341044014324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42341044014324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58488534730080).

42341044014324 is an abundant number, since it is smaller than the sum of its proper divisors (74636025445836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42341044014324 is a wasteful number, since it uses less digits than its factorization.

42341044014324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94542 (or 94537 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 4234104 and 4014324, that added together give a palindrome (8248428).

The spelling of 42341044014324 in words is "forty-two trillion, three hundred forty-one billion, forty-four million, fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1061 1091 2122 2182 3183 3273 4244 4364 6366 6546 9549 9819 11671 12001 12732 13092 19098 19638 23342 24002 35013 36003 38196 39276 46684 48004 70026 72006 92369 105039 108009 140052 144012 184738 210078 216018 277107 369476 420156 432036 554214 831321 1016059 1108428 1157551 1662642 2032118 2315102 3048177 3325284 3472653 4064236 4630204 6096354 6945306 9144531 10417959 12192708 12733061 13890612 18289062 20835918 25466122 36578124 38199183 41671836 50932244 76398366 98003509 100774579 114597549 152796732 196007018 201549158 229195098 294010527 302323737 392014036 403098316 458390196 588021054 604647474 882031581 906971211 1078038599 1108520369 1176042108 1209294948 1764063162 1813942422 2156077198 2217040738 3234115797 3325561107 3528126324 3627884844 4312154396 4434081476 6468231594 6651122214 9702347391 9976683321 12936463188 13302244428 19404694782 19953366642 38809389564 39906733284 106921828319 213843656638 320765484957 427687313276 641530969914 962296454871 1176140111509 1283061939828 1924592909742 2352280223018 3528420334527 3849185819484 4704560446036 7056840669054 10585261003581 14113681338108 21170522007162 42341044014324