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138100387565430 = 23351223418219883
BaseRepresentation
bin11111011001101000000000…
…100010110100111101110110
3200002222021020110022101201000
4133121220000202310331312
5121100114043204043210
61205414235303544130
741042265226021623
oct3731500042647566
9602867213271630
10138100387565430
1140004055569174
12135a494445b046
135c09a70065624
14261614714734a
1510e74947a2ac0
hex7d9a008b4f76

138100387565430 has 64 divisors (see below), whose sum is σ = 368568819371520. Its totient is φ = 36796658097888.

The previous prime is 138100387565419. The next prime is 138100387565453. The reversal of 138100387565430 is 34565783001831.

138100387565430 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 0 + 0 + 38 + 7 + 565 + 43 + 0 = 666.

138100387565430 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208779732 + ... + 209440151.

It is an arithmetic number, because the mean of its divisors is an integer number (5758887802680).

Almost surely, 2138100387565430 is an apocalyptic number.

138100387565430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138100387565430 is an abundant number, since it is smaller than the sum of its proper divisors (230468431806090).

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

138100387565430 is a wasteful number, since it uses less digits than its factorization.

138100387565430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418221122 (or 418221116 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 138100387565430 in words is "one hundred thirty-eight trillion, one hundred billion, three hundred eighty-seven million, five hundred sixty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1223 2446 3669 6115 7338 11007 12230 18345 22014 33021 36690 55035 66042 110070 165105 330210 418219883 836439766 1254659649 2091099415 2509319298 3763978947 4182198830 6273298245 7527957894 11291936841 12546596490 18819894735 22583873682 37639789470 56459684205 112919368410 511482916909 1022965833818 1534448750727 2557414584545 3068897501454 4603346252181 5114829169090 7672243753635 9206692504362 13810038756543 15344487507270 23016731260905 27620077513086 46033462521810 69050193782715 138100387565430