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1400117305327 = 1322310712012803
BaseRepresentation
bin10100010111111101011…
…111101001111111101111
311221211221120201112010121
4110113331133221333233
5140414420012232302
62551112140545411
7203104132506046
oct24277537517757
94854846645117
101400117305327
1149a871799544
121a7428552267
13a2051cc9400
144baa202355d
15266485d1e37
hex145fd7e9fef

1400117305327 has 48 divisors (see below), whose sum is σ = 1598705849088. Its totient is φ = 1223214220800.

The previous prime is 1400117305309. The next prime is 1400117305333. The reversal of 1400117305327 is 7235037110041.

It is not a de Polignac number, because 1400117305327 - 27 = 1400117305199 is a prime.

It is a super-2 number, since 2×14001173053272 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1400117305292 and 1400117305301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400117305357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499505308 + ... + 499508110.

It is an arithmetic number, because the mean of its divisors is an integer number (33306371856).

Almost surely, 21400117305327 is an apocalyptic number.

1400117305327 is a deficient number, since it is larger than the sum of its proper divisors (198588543761).

1400117305327 is a wasteful number, since it uses less digits than its factorization.

1400117305327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 1400117305327 in words is "one trillion, four hundred billion, one hundred seventeen million, three hundred five thousand, three hundred twenty-seven".

Divisors: 1 13 23 107 169 299 1201 1391 2461 2803 3887 15613 18083 27623 31993 36439 64469 128507 202969 299921 359099 415909 473707 838097 1670591 2955661 3366403 3898973 4668287 6898183 10895261 21717683 38423593 43763239 50686649 77427269 89676379 360205121 499506709 568922107 1006554497 1165792927 4682666573 8284717783 13085208461 60874665449 107701331179 1400117305327