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23413355042454 = 232131972113240371
BaseRepresentation
bin1010101001011010110001…
…01101011101011010010110
310001220021221222011121020200
411110231120231131122112
511032101022342324304
6121443540302441330
74634362523122566
oct524553055353226
9101807858147220
1023413355042454
11750760359a183
1227617b9293246
13100ab40254050
145ad2d8ca2da6
152a907d6a7e39
hex154b58b5d696

23413355042454 has 96 divisors (see below), whose sum is σ = 54934691876064. Its totient is φ = 7164118241280.

The previous prime is 23413355042453. The next prime is 23413355042477. The reversal of 23413355042454 is 45424055331432.

23413355042454 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 3 + 3 + 550 + 42 + 4 + 54 = 666.

It is a super-2 number, since 2×234133550424542 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23413355042453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97284889 + ... + 97525259.

It is an arithmetic number, because the mean of its divisors is an integer number (572236373709).

Almost surely, 223413355042454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23413355042454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27467345938032).

23413355042454 is an abundant number, since it is smaller than the sum of its proper divisors (31521336833610).

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

23413355042454 is a wasteful number, since it uses less digits than its factorization.

23413355042454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242702 (or 242699 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 23413355042454 in words is "twenty-three trillion, four hundred thirteen billion, three hundred fifty-five million, forty-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 197 234 394 591 1182 1773 2113 2561 3546 4226 5122 6339 7683 12678 15366 19017 23049 27469 38034 46098 54938 82407 164814 240371 247221 416261 480742 494442 721113 832522 1248783 1442226 2163339 2497566 3124823 3746349 4326678 5411393 6249646 7492698 9374469 10822786 16234179 18748938 28123407 32468358 47353087 48702537 56246814 94706174 97405074 142059261 284118522 426177783 507903923 615590131 852355566 1015807846 1231180262 1523711769 1846770393 3047423538 3693540786 4571135307 5540311179 6602750999 9142270614 11080622358 13205501998 19808252997 39616505994 59424758991 100057072831 118849517982 200114145662 300171218493 600342436986 900513655479 1300741946803 1801027310958 2601483893606 3902225840409 7804451680818 11706677521227 23413355042454