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139378040832 = 21338368329
BaseRepresentation
bin1000000111001110010…
…1000010000000000000
3111022202111101002011110
42001303211002000000
54240421234301312
6144010203043320
713032626541162
oct2016345020000
9438674332143
10139378040832
11541232a7aa8
1223019510540
13101b2a78314
146a62baa932
15395b31743c
hex2073942000

139378040832 has 112 divisors (see below), whose sum is σ = 376135331040. Its totient is φ = 45898924032.

The previous prime is 139378040801. The next prime is 139378040861. The reversal of 139378040832 is 238040873931.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2005644 + ... + 2073972.

It is an arithmetic number, because the mean of its divisors is an integer number (3358351170).

Almost surely, 2139378040832 is an apocalyptic number.

139378040832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139378040832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188067665520).

139378040832 is an abundant number, since it is smaller than the sum of its proper divisors (236757290208).

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

139378040832 is an frugal number, since it uses more digits than its factorization.

139378040832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68441 (or 68417 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 139378040832 in words is "one hundred thirty-nine billion, three hundred seventy-eight million, forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 664 768 996 1024 1328 1536 1992 2048 2656 3072 3984 4096 5312 6144 7968 8192 10624 12288 15936 21248 24576 31872 42496 63744 68329 84992 127488 136658 169984 204987 254976 273316 339968 409974 509952 546632 679936 819948 1019904 1093264 1639896 2039808 2186528 3279792 4373056 5671307 6559584 8746112 11342614 13119168 17013921 17492224 22685228 26238336 34027842 34984448 45370456 52476672 68055684 69968896 90740912 104953344 136111368 139937792 181481824 209906688 272222736 279875584 362963648 419813376 544445472 559751168 725927296 839626752 1088890944 1451854592 1679253504 2177781888 2903709184 4355563776 5807418368 8711127552 11614836736 17422255104 23229673472 34844510208 46459346944 69689020416 139378040832