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1014256321431 = 35915155576829
BaseRepresentation
bin11101100001001100110…
…00110100001110010111
310120221222021012120221220
432300212120310032113
5113104144104241211
62053535400541423
7133164134325243
oct16604630641627
93527867176856
101014256321431
11361164285221
121446a0481873
137484aa214b2
14371399a3423
151b5b312b806
hexec26634397

1014256321431 has 32 divisors (see below), whose sum is σ = 1384822387200. Its totient is φ = 660092803200.

The previous prime is 1014256321423. The next prime is 1014256321453. The reversal of 1014256321431 is 1341236524101.

1014256321431 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1014256321431 - 23 = 1014256321423 is a prime.

It is a super-2 number, since 2×10142563214312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1014256321392 and 1014256321401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014256325431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148518525 + ... + 148525353.

It is an arithmetic number, because the mean of its divisors is an integer number (43275699600).

Almost surely, 21014256321431 is an apocalyptic number.

1014256321431 is a deficient number, since it is larger than the sum of its proper divisors (370566065769).

1014256321431 is a wasteful number, since it uses less digits than its factorization.

1014256321431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12599.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 1014256321431 in words is "one trillion, fourteen billion, two hundred fifty-six million, three hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 59 151 177 453 5557 6829 8909 16671 20487 26727 327863 402911 839107 983589 1031179 1208733 2517321 3093537 37948753 49507313 60839561 113846259 148521939 182518683 2238976427 5730261703 6716929281 17190785109 338085440477 1014256321431