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13234404632256 = 263319403094683
BaseRepresentation
bin1100000010010101111111…
…1111001010011011000000
31201212012022102011121201000
43000211133333022123000
53213313030041213011
644051445045212000
72534103612164613
oct300453777123300
951765272147630
1013234404632256
114242752438375
121598abb401000
1374cccaa64c52
1433a79751417a
1517e3cd286356
hexc095ffca6c0

13234404632256 has 112 divisors (see below), whose sum is σ = 40954419894400. Its totient is φ = 4179285662976.

The previous prime is 13234404632243. The next prime is 13234404632303. The reversal of 13234404632256 is 65223640443231.

13234404632256 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 4 + 4 + 0 + 4 + 632 + 2 + 5 + 6 = 666.

13234404632256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 201514510 + ... + 201580173.

Almost surely, 213234404632256 is an apocalyptic number.

13234404632256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13234404632256 is an abundant number, since it is smaller than the sum of its proper divisors (27720015262144).

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

13234404632256 is a wasteful number, since it uses less digits than its factorization.

13234404632256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403094723 (or 403094707 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 13234404632256 in words is "thirteen trillion, two hundred thirty-four billion, four hundred four million, six hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 32832 403094683 806189366 1209284049 1612378732 2418568098 3224757464 3627852147 4837136196 6449514928 7255704294 7658798977 9674272392 10883556441 12899029856 14511408588 15317597954 19348544784 21767112882 22976396931 25798059712 29022817176 30635195908 38697089568 43534225764 45952793862 58045634352 61270391816 68929190793 77394179136 87068451528 91905587724 116091268704 122540783632 137858381586 174136903056 183811175448 206787572379 232182537408 245081567264 275716763172 348273806112 367622350896 413575144758 490163134528 551433526344 696547612224 735244701792 827150289516 1102867052688 1470489403584 1654300579032 2205734105376 3308601158064 4411468210752 6617202316128 13234404632256