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134265410004640 = 25519311914160389
BaseRepresentation
bin11110100001110100011010…
…000100011010011010100000
3122121101122111021110012010211
4132201310122010122122200
5120044301024430122030
61153320402225303504
740165233011424565
oct3641643204323240
9577348437405124
10134265410004640
1139865705723672
1213085652194b94
1359bc234bc0b35
1425226a278086c
15107c84117012a
hex7a1d1a11a6a0

134265410004640 has 96 divisors (see below), whose sum is σ = 334003951008000. Its totient is φ = 50863207431168.

The previous prime is 134265410004631. The next prime is 134265410004641. The reversal of 134265410004640 is 46400014562431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 134265410004593 and 134265410004602.

It is not an unprimeable number, because it can be changed into a prime (134265410004641) 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, 2401566 + ... + 16561954.

It is an arithmetic number, because the mean of its divisors is an integer number (3479207823000).

Almost surely, 2134265410004640 is an apocalyptic number.

134265410004640 is a gapful number since it is divisible by the number (10) 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 134265410004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167001975504000).

134265410004640 is an abundant number, since it is smaller than the sum of its proper divisors (199738541003360).

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

134265410004640 is a wasteful number, since it uses less digits than its factorization.

134265410004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14163542 (or 14163534 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 134265410004640 in words is "one hundred thirty-four trillion, two hundred sixty-five billion, four hundred ten million, four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 3119 6238 12476 15595 24952 31190 49904 59261 62380 99808 118522 124760 237044 249520 296305 474088 499040 592610 948176 1185220 1896352 2370440 4740880 9481760 14160389 28320778 56641556 70801945 113283112 141603890 226566224 269047391 283207780 453132448 538094782 566415560 1076189564 1132831120 1345236955 2152379128 2265662240 2690473910 4304758256 5380947820 8609516512 10761895640 21523791280 43047582560 44166253291 88332506582 176665013164 220831266455 353330026328 441662532910 706660052656 839158812529 883325065820 1413320105312 1678317625058 1766650131640 3356635250116 3533300263280 4195794062645 6713270500232 7066600526560 8391588125290 13426541000464 16783176250580 26853082000928 33566352501160 67132705002320 134265410004640