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140441111712 = 25331114777053
BaseRepresentation
bin1000001011001011110…
…0010100110010100000
3111102111120201200021000
42002302330110302200
54300110411033322
6144303500232000
713101155516166
oct2026274246240
9442446650230
10140441111712
1154619389980
122327553b600
1310322099145
146b24055236
1539be8063ac
hex20b2f14ca0

140441111712 has 96 divisors (see below), whose sum is σ = 446858112960. Its totient is φ = 42557909760.

The previous prime is 140441111659. The next prime is 140441111731. The reversal of 140441111712 is 217111144041.

140441111712 is a `hidden beast` number, since 1 + 40 + 441 + 11 + 171 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7379023 + ... + 7398030.

It is an arithmetic number, because the mean of its divisors is an integer number (4654772010).

Almost surely, 2140441111712 is an apocalyptic number.

140441111712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140441111712 is an abundant number, since it is smaller than the sum of its proper divisors (306417001248).

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

140441111712 is a wasteful number, since it uses less digits than its factorization.

140441111712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14777083 (or 14777069 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 140441111712 its reverse (217111144041), we get a palindrome (357552255753).

The spelling of 140441111712 in words is "one hundred forty billion, four hundred forty-one million, one hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 14777053 29554106 44331159 59108212 88662318 118216424 132993477 162547583 177324636 236432848 265986954 325095166 354649272 398980431 472865696 487642749 531973908 650190332 709298544 797960862 975285498 1063947816 1300380664 1418597088 1462928247 1595921724 1950570996 2127895632 2600761328 2925856494 3191843448 3901141992 4255791264 4388784741 5201522656 5851712988 6383686896 7802283984 8777569482 11703425976 12767373792 15604567968 17555138964 23406851952 35110277928 46813703904 70220555856 140441111712