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241131242304 = 2633197344397
BaseRepresentation
bin1110000010010010001…
…0101100001101000000
3212001101211222021201000
43200210202230031000
512422314044223204
6302435115212000
723264312512221
oct3404442541500
9761354867630
10241131242304
1193299333337
123a896447000
131997a870984
14b956a01248
156414414039
hex38248ac340

241131242304 has 112 divisors (see below), whose sum is σ = 746190836800. Its totient is φ = 76146697728.

The previous prime is 241131242203. The next prime is 241131242329. The reversal of 241131242304 is 403242131142.

241131242304 is a `hidden beast` number, since 2 + 4 + 1 + 1 + 312 + 42 + 304 = 666.

241131242304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3639367 + ... + 3705030.

Almost surely, 2241131242304 is an apocalyptic number.

241131242304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241131242304 is an abundant number, since it is smaller than the sum of its proper divisors (505059594496).

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

241131242304 is a wasteful number, since it uses less digits than its factorization.

241131242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7344437 (or 7344421 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 241131242304 its reverse (403242131142), we get a palindrome (644373373446).

The spelling of 241131242304 in words is "two hundred forty-one billion, one hundred thirty-one million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 32832 7344397 14688794 22033191 29377588 44066382 58755176 66099573 88132764 117510352 132199146 139543543 176265528 198298719 235020704 264398292 279087086 352531056 396597438 418630629 470041408 528796584 558174172 705062112 793194876 837261258 1057593168 1116348344 1255891887 1410124224 1586389752 1674522516 2115186336 2232696688 2511783774 3172779504 3349045032 3767675661 4230372672 4465393376 5023567548 6345559008 6698090064 7535351322 8930786752 10047135096 12691118016 13396180128 15070702644 20094270192 26792360256 30141405288 40188540384 60282810576 80377080768 120565621152 241131242304