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141004010070 = 232571120346899
BaseRepresentation
bin1000001101010001111…
…1100111001001010110
3111110221210220212122100
42003110133213021112
54302234011310240
6144435405142530
713121132211240
oct2032437471126
9443853825570
10141004010070
11548880a6830
12233b1b5aa46
13103b18a44b1
146b78b01090
153a03e45e30
hex20d47e7256

141004010070 has 96 divisors (see below), whose sum is σ = 457072761600. Its totient is φ = 29299533120.

The previous prime is 141004010051. The next prime is 141004010093. The reversal of 141004010070 is 70010400141.

141004010070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1410040100702 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10166520 + ... + 10180379.

It is an arithmetic number, because the mean of its divisors is an integer number (4761174600).

Almost surely, 2141004010070 is an apocalyptic number.

141004010070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141004010070 is an abundant number, since it is smaller than the sum of its proper divisors (316068751530).

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

141004010070 is a wasteful number, since it uses less digits than its factorization.

141004010070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20346930 (or 20346927 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The spelling of 141004010070 in words is "one hundred forty-one billion, four million, ten thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 20346899 40693798 61040697 101734495 122081394 142428293 183122091 203468990 223815889 284856586 305203485 366244182 427284879 447631778 610406970 671447667 712141465 854569758 915610455 1119079445 1281854637 1342895334 1424282930 1566711223 1831220910 2014343001 2136424395 2238158890 2563709274 3133422446 3357238335 4028686002 4272848790 4700133669 6409273185 6714476670 7833556115 9400267338 10071715005 12818546370 14100401007 15667112230 20143430010 23500668345 28200802014 47001336690 70502005035 141004010070