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140456261216 = 2531373826729
BaseRepresentation
bin1000001011001111011…
…0000111011001100000
3111102112122020100110202
42002303312013121200
54300123300324331
6144305201044332
713101431343635
oct2026366073140
9442478210422
10140456261216
1154626996a27
122327a6266a8
131032527184b
146b2607a18c
1539c0ce9ecb
hex20b3d87660

140456261216 has 48 divisors (see below), whose sum is σ = 293158131840. Its totient is φ = 66125859840.

The previous prime is 140456261201. The next prime is 140456261227. The reversal of 140456261216 is 612162654041.

It is a happy number.

It is a super-2 number, since 2×1404562612162 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140456261216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1876661 + ... + 1950068.

It is an arithmetic number, because the mean of its divisors is an integer number (6107461080).

Almost surely, 2140456261216 is an apocalyptic number.

140456261216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

140456261216 is an abundant number, since it is smaller than the sum of its proper divisors (152701870624).

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

140456261216 is a wasteful number, since it uses less digits than its factorization.

140456261216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826807 (or 3826799 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 140456261216 in words is "one hundred forty billion, four hundred fifty-six million, two hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 37 62 74 124 148 248 296 496 592 992 1147 1184 2294 4588 9176 18352 36704 3826729 7653458 15306916 30613832 61227664 118628599 122455328 141588973 237257198 283177946 474514396 566355892 949028792 1132711784 1898057584 2265423568 3796115168 4389258163 4530847136 8778516326 17557032652 35114065304 70228130608 140456261216