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129156031440 = 2433559794459
BaseRepresentation
bin111100001001001001…
…1001010001111010000
3110100101002212012102000
41320102103022033100
54104002421001230
6135200005554000
712221415103422
oct1702223121720
9410332765360
10129156031440
114a858238057
1221046115900
13c244098957
146373376812
15355dc03b60
hex1e124ca3d0

129156031440 has 80 divisors (see below), whose sum is σ = 444870782400. Its totient is φ = 34441607808.

The previous prime is 129156031427. The next prime is 129156031471. The reversal of 129156031440 is 44130651921.

It is a happy number.

129156031440 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 5 + 603 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129156031395 and 129156031404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29895070 + ... + 29899389.

It is an arithmetic number, because the mean of its divisors is an integer number (5560884780).

Almost surely, 2129156031440 is an apocalyptic number.

129156031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129156031440 is an abundant number, since it is smaller than the sum of its proper divisors (315714750960).

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

129156031440 is a wasteful number, since it uses less digits than its factorization.

129156031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59794481 (or 59794469 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 129156031440 in words is "one hundred twenty-nine billion, one hundred fifty-six million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 59794459 119588918 179383377 239177836 298972295 358766754 478355672 538150131 597944590 717533508 896916885 956711344 1076300262 1195889180 1435067016 1614450393 1793833770 2152600524 2391778360 2690750655 2870134032 3228900786 3587667540 4305201048 4783556720 5381501310 6457801572 7175335080 8072251965 8610402096 10763002620 12915603144 14350670160 16144503930 21526005240 25831206288 32289007860 43052010480 64578015720 129156031440