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141051411144 = 233271716462583
BaseRepresentation
bin1000001101011101010…
…0011011101011001000
3111111002010010002200200
42003113110123223020
54302333130124034
6144444221132200
713122246132630
oct2032724335310
9444063102620
10141051411144
1154901931976
12234059ba060
13103bb65c977
146b8111d6c0
153a081aaa99
hex20d751bac8

141051411144 has 96 divisors (see below), whose sum is σ = 462269358720. Its totient is φ = 37929788928.

The previous prime is 141051411133. The next prime is 141051411157. The reversal of 141051411144 is 441114150141.

141051411144 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 514 + 1 + 1 + 144 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8222724 + ... + 8239859.

It is an arithmetic number, because the mean of its divisors is an integer number (4815305820).

Almost surely, 2141051411144 is an apocalyptic number.

141051411144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141051411144 is an abundant number, since it is smaller than the sum of its proper divisors (321217947576).

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

141051411144 is a wasteful number, since it uses less digits than its factorization.

141051411144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16462619 (or 16462612 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 141051411144 its reverse (441114150141), we get a palindrome (582165561285).

The spelling of 141051411144 in words is "one hundred forty-one billion, fifty-one million, four hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 16462583 32925166 49387749 65850332 98775498 115238081 131700664 148163247 197550996 230476162 279863911 296326494 345714243 395101992 460952324 559727822 592652988 691428486 839591733 921904648 1037142729 1119455644 1185305976 1382856972 1679183466 1959047377 2074285458 2238911288 2518775199 2765713944 3358366932 3918094754 4148570916 5037550398 5877142131 6716733864 7836189508 8297141832 10075100796 11754284262 15672379016 17631426393 20150201592 23508568524 35262852786 47017137048 70525705572 141051411144