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42602613320344 = 23711293137619267
BaseRepresentation
bin10011010111111001100011…
…01000100010101010011000
312120211202210101001100100011
421223330301220202222120
521041000123002222334
6230335212000051304
711654636321206420
oct1153746150425230
9176752711040304
1042602613320344
1112635737631730
124940809003b34
131aa054201421c
14a73d9831b480
154dd2d21c9564
hex26bf31a22a98

42602613320344 has 128 divisors (see below), whose sum is σ = 103353846566400. Its totient is φ = 15974857866240.

The previous prime is 42602613320317. The next prime is 42602613320383. The reversal of 42602613320344 is 44302331620624.

It is a junction number, because it is equal to n+sod(n) for n = 42602613320297 and 42602613320306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1781799 + ... + 9401065.

It is an arithmetic number, because the mean of its divisors is an integer number (807451926300).

Almost surely, 242602613320344 is an apocalyptic number.

42602613320344 is a gapful number since it is divisible by the number (44) 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 42602613320344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51676923283200).

42602613320344 is an abundant number, since it is smaller than the sum of its proper divisors (60751233246056).

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

42602613320344 is a wasteful number, since it uses less digits than its factorization.

42602613320344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619633 (or 7619629 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 40.

Adding to 42602613320344 its reverse (44302331620624), we get a palindrome (86904944940968).

The spelling of 42602613320344 in words is "forty-two trillion, six hundred two billion, six hundred thirteen million, three hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 313 319 406 616 626 638 812 1252 1276 1624 2191 2233 2504 2552 3443 4382 4466 6886 8764 8932 9077 13772 17528 17864 18154 24101 27544 36308 48202 63539 72616 96404 99847 127078 192808 199694 254156 399388 508312 698929 798776 1397858 2795716 5591432 7619267 15238534 30477068 53334869 60954136 83811937 106669738 167623874 213339476 220958743 335247748 426678952 441917486 586683559 670495496 883834972 1173367118 1546711201 1767669944 2346734236 2384830571 2430546173 3093422402 4693468472 4769661142 4861092346 6186844804 9539322284 9722184692 12373689608 16693813997 17013823211 19078644568 19444369384 26233136281 33387627994 34027646422 52466272562 66775255988 68055292844 69160086559 104932545124 133550511976 136110585688 138320173118 183631953967 209865090248 276640346236 367263907934 484120605913 553280692472 734527815868 760760952149 968241211826 1469055631736 1521521904298 1936482423652 3043043808596 3872964847304 5325326665043 6086087617192 10650653330086 21301306660172 42602613320344