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123313025440 = 25511109642791
BaseRepresentation
bin111001011011000000…
…1110111000110100000
3102210021220012202000101
41302312001313012200
54010021113303230
6132352122032144
711623545264463
oct1626601670640
9383256182011
10123313025440
1148329a96180
121ba95348654
13b8226aa357
145d7b3532da
15331ac7caca
hex1cb60771a0

123313025440 has 96 divisors (see below), whose sum is σ = 320727496320. Its totient is φ = 44429644800.

The previous prime is 123313025413. The next prime is 123313025483. The reversal of 123313025440 is 44520313321.

It is a happy number.

It is a super-2 number, since 2×1233130254402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123313025399 and 123313025408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129556 + ... + 513235.

It is an arithmetic number, because the mean of its divisors is an integer number (3340911420).

Almost surely, 2123313025440 is an apocalyptic number.

123313025440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123313025440 is an abundant number, since it is smaller than the sum of its proper divisors (197414470880).

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

123313025440 is a wasteful number, since it uses less digits than its factorization.

123313025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642926 (or 642918 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 123313025440 its reverse (44520313321), we get a palindrome (167833338761).

The spelling of 123313025440 in words is "one hundred twenty-three billion, three hundred thirteen million, twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 109 110 160 176 218 220 352 436 440 545 872 880 1090 1199 1744 1760 2180 2398 3488 4360 4796 5995 8720 9592 11990 17440 19184 23980 38368 47960 95920 191840 642791 1285582 2571164 3213955 5142328 6427910 7070701 10284656 12855820 14141402 20569312 25711640 28282804 35353505 51423280 56565608 70064219 70707010 102846560 113131216 140128438 141414020 226262432 280256876 282828040 350321095 560513752 565656080 700642190 770706409 1121027504 1131312160 1401284380 1541412818 2242055008 2802568760 3082825636 3853532045 5605137520 6165651272 7707064090 11210275040 12331302544 15414128180 24662605088 30828256360 61656512720 123313025440