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1400117621357 = 71324130019619
BaseRepresentation
bin10100010111111101100…
…000110111001001101101
311221211221121022120122102
4110113331200313021231
5140414420102340412
62551112151424445
7203104135263320
oct24277540671155
94854847276572
101400117621357
1149a871994a24
121a7428685125
13a20520aa200
144baa20a67b7
15266486458c2
hex145fd83726d

1400117621357 has 48 divisors (see below), whose sum is σ = 1775726709120. Its totient is φ = 1080293760000.

The previous prime is 1400117621311. The next prime is 1400117621359. The reversal of 1400117621357 is 7531267110041.

It is a happy number.

It is not a de Polignac number, because 1400117621357 - 226 = 1400050512493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1400117621357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400117621359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145552694 + ... + 145562312.

It is an arithmetic number, because the mean of its divisors is an integer number (36994306440).

Almost surely, 21400117621357 is an apocalyptic number.

It is an amenable number.

1400117621357 is a deficient number, since it is larger than the sum of its proper divisors (375609087763).

1400117621357 is a wasteful number, since it uses less digits than its factorization.

1400117621357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12694 (or 12681 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 1400117621357 in words is "one trillion, four hundred billion, one hundred seventeen million, six hundred twenty-one thousand, three hundred fifty-seven".

Divisors: 1 7 13 41 91 169 287 533 1183 3001 3731 6929 9619 21007 39013 48503 67333 123041 125047 273091 394379 507169 861287 875329 1599533 1625611 2760653 3550183 5126927 11196731 11379277 20793929 28866619 35888489 66650051 145557503 202066333 375266047 466550357 1183531379 2626862329 4878458611 8284719653 15385907927 34149210277 107701355489 200016803051 1400117621357