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134013430102304 = 2543975411855927
BaseRepresentation
bin11110011110001001101110…
…111001010111100100100000
3122120111120002100210212121102
4132132021232321113210200
5120031134001101233204
61153004530405413532
740141102504540034
oct3636115671274440
9576446070725542
10134013430102304
113977885a62a4a5
121304484a70a2a8
1359a15488a35cc
1425143db0261c4
151075ee461341e
hex79e26ee57920

134013430102304 has 96 divisors (see below), whose sum is σ = 273262295408256. Its totient is φ = 64653928980480.

The previous prime is 134013430102289. The next prime is 134013430102361. The reversal of 134013430102304 is 403201034310431.

It is a happy number.

It is a super-2 number, since 2×1340134301023042 (a number of 29 digits) contains 22 as substring.

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, 71280389 + ... + 73136315.

It is an arithmetic number, because the mean of its divisors is an integer number (2846482243836).

Almost surely, 2134013430102304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134013430102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136631147704128).

134013430102304 is an abundant number, since it is smaller than the sum of its proper divisors (139248865305952).

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

134013430102304 is a wasteful number, since it uses less digits than its factorization.

134013430102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856618 (or 1856610 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 134013430102304 its reverse (403201034310431), we get a palindrome (537214464412735).

The spelling of 134013430102304 in words is "one hundred thirty-four trillion, thirteen billion, four hundred thirty million, one hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 43 86 97 172 194 344 388 541 688 776 1082 1376 1552 2164 3104 4171 4328 8342 8656 16684 17312 23263 33368 46526 52477 66736 93052 104954 133472 186104 209908 372208 419816 744416 839632 1679264 1855927 2256511 3711854 4513022 7423708 9026044 14847416 18052088 29694832 36104176 59389664 72208352 79804861 159609722 180024919 319219444 360049838 638438888 720099676 1004056507 1276877776 1440199352 2008113014 2553755552 2880398704 4016226028 5760797408 7741071517 8032452056 15482143034 16064904112 30964286068 32129808224 43174429801 61928572136 86348859602 97393481179 123857144272 172697719204 194786962358 247714288544 345395438408 389573924716 690790876816 779147849432 1381581753632 1558295698864 3116591397728 4187919690697 8375839381394 16751678762788 33503357525576 67006715051152 134013430102304