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141001637364 = 22327283963047
BaseRepresentation
bin1000001101010001011…
…0100011110111110100
3111110221122110022220100
42003110112203313310
54302232404343424
6144435242234100
713121103066600
oct2032426436764
9443848408810
10141001637364
1154886826115
12233b11b5930
13103b1253523
146b78684500
153a03b27dc9
hex20d45a3df4

141001637364 has 108 divisors (see below), whose sum is σ = 419607717984. Its totient is φ = 39800765088.

The previous prime is 141001637363. The next prime is 141001637389. The reversal of 141001637364 is 463736100141.

141001637364 is a `hidden beast` number, since 1 + 4 + 10 + 0 + 1 + 637 + 3 + 6 + 4 = 666.

141001637364 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141001637363) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 335112 + ... + 627935.

It is an arithmetic number, because the mean of its divisors is an integer number (3885256648).

Almost surely, 2141001637364 is an apocalyptic number.

141001637364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141001637364 is an abundant number, since it is smaller than the sum of its proper divisors (278606080620).

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

141001637364 is a wasteful number, since it uses less digits than its factorization.

141001637364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963154 (or 963142 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 141001637364 in words is "one hundred forty-one billion, one million, six hundred thirty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 83 84 98 126 147 166 196 249 252 294 332 441 498 581 588 747 882 996 1162 1494 1743 1764 2324 2988 3486 4067 5229 6972 8134 10458 12201 16268 20916 24402 36603 48804 73206 146412 963047 1926094 2889141 3852188 5778282 6741329 8667423 11556564 13482658 17334846 20223987 26965316 34669692 40447974 47189303 60671961 79932901 80895948 94378606 121343922 141567909 159865802 188757212 239798703 242687844 283135818 319731604 424703727 479597406 559530307 566271636 719396109 849407454 959194812 1119060614 1438792218 1678590921 1698814908 2238121228 2877584436 3357181842 3916712149 5035772763 6714363684 7833424298 10071545526 11750136447 15666848596 20143091052 23500272894 35250409341 47000545788 70500818682 141001637364