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129914280432 = 24331717689853
BaseRepresentation
bin111100011111101111…
…1101001100111110000
3110102022221122020111000
41320333133221213300
54112031023433212
6135403133522000
712246253110036
oct1707737514760
9412287566430
10129914280432
1150107251812
1221218043300
13c3351c0cb1
146405d54556
1535a55801dc
hex1e3f7e99f0

129914280432 has 80 divisors (see below), whose sum is σ = 394837541280. Its totient is φ = 40757419008.

The previous prime is 129914280413. The next prime is 129914280439. The reversal of 129914280432 is 234082419921.

129914280432 is a `hidden beast` number, since 12 + 9 + 91 + 42 + 80 + 432 = 666.

129914280432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129914280439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8837583 + ... + 8852270.

It is an arithmetic number, because the mean of its divisors is an integer number (4935469266).

Almost surely, 2129914280432 is an apocalyptic number.

129914280432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

129914280432 is an abundant number, since it is smaller than the sum of its proper divisors (264923260848).

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

129914280432 is a wasteful number, since it uses less digits than its factorization.

129914280432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17689887 (or 17689875 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 129914280432 in words is "one hundred twenty-nine billion, nine hundred fourteen million, two hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 17689853 35379706 53069559 70759412 106139118 141518824 159208677 212278236 283037648 300727501 318417354 424556472 477626031 601455002 636834708 849112944 902182503 955252062 1202910004 1273669416 1804365006 1910504124 2405820008 2547338832 2706547509 3608730012 3821008248 4811640016 5413095018 7217460024 7642016496 8119642527 10826190036 14434920048 16239285054 21652380072 32478570108 43304760144 64957140216 129914280432