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1138740659154 = 232757726775851
BaseRepresentation
bin10000100100100010001…
…110111000001111010010
311000212021210110011100200
4100210202032320033102
5122124120102043104
62231044044200030
7145162024616460
oct20444216701722
94025253404320
101138740659154
113a9a3446267a
12164841b39016
13834c8c8a427
143d1886d9830
151e94bb29b39
hex109223b83d2

1138740659154 has 96 divisors (see below), whose sum is σ = 2826163756416. Its totient is φ = 324613785600.

The previous prime is 1138740659113. The next prime is 1138740659167. The reversal of 1138740659154 is 4519560478311.

1138740659154 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 7 + 40 + 6 + 591 + 5 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1138740659154.

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 47 ways as a sum of consecutive naturals, for example, 194620329 + ... + 194626179.

It is an arithmetic number, because the mean of its divisors is an integer number (29439205796).

Almost surely, 21138740659154 is an apocalyptic number.

1138740659154 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1138740659154 is an abundant number, since it is smaller than the sum of its proper divisors (1687423097262).

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

1138740659154 is a wasteful number, since it uses less digits than its factorization.

1138740659154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120 (or 9117 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1138740659154 in words is "one trillion, one hundred thirty-eight billion, seven hundred forty million, six hundred fifty-nine thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 577 1154 1731 2677 3462 4039 5193 5354 5851 8031 8078 10386 11702 12117 16062 17553 18739 24093 24234 35106 36351 37478 40957 48186 52659 56217 72702 81914 105318 112434 122871 168651 245742 337302 368613 737226 1544629 3089258 3376027 4633887 6752054 9267774 10128081 10812403 13901661 15663127 20256162 21624806 23632189 27803322 30384243 31326254 32437209 46989381 47264378 60768486 64874418 70896567 93978762 97311627 109641889 140968143 141793134 194623254 212689701 219283778 281936286 328925667 425379402 657851334 986777001 1973554002 9037624279 18075248558 27112872837 54225745674 63263369953 81338618511 126526739906 162677237022 189790109859 379580219718 569370329577 1138740659154