Search a number
-
+
123544005500344 = 231113281938308979
BaseRepresentation
bin11100000101110011010100…
…100011111101110110111000
3121012102200200011101001122011
4130011303110203331312320
5112143121110402002334
61114431155502135304
735010521424664162
oct3405632443756670
9535380604331564
10123544005500344
113640179a357090
1211a337a5581534
1353c21c3c56030
1422717c16dd932
15e439e2e74564
hex705cd48fddb8

123544005500344 has 64 divisors (see below), whose sum is σ = 272238935472000. Its totient is φ = 51818256001920.

The previous prime is 123544005500309. The next prime is 123544005500353. The reversal of 123544005500344 is 443005500445321.

It is a junction number, because it is equal to n+sod(n) for n = 123544005500297 and 123544005500306.

It is a congruent number.

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, 15929554 + ... + 22379425.

It is an arithmetic number, because the mean of its divisors is an integer number (4253733366750).

Almost surely, 2123544005500344 is an apocalyptic number.

It is an amenable number.

123544005500344 is an abundant number, since it is smaller than the sum of its proper divisors (148694929971656).

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

123544005500344 is a wasteful number, since it uses less digits than its factorization.

123544005500344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38311828 (or 38311824 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 123544005500344 its reverse (443005500445321), we get a palindrome (566549505945665).

The spelling of 123544005500344 in words is "one hundred twenty-three trillion, five hundred forty-four billion, five million, five hundred thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 2819 5638 11276 22552 31009 36647 62018 73294 124036 146588 248072 293176 403117 806234 1612468 3224936 38308979 76617958 153235916 306471832 421398769 498016727 842797538 996033454 1685595076 1992066908 3371190152 3984133816 5478183997 10956367994 21912735988 43825471976 107993011801 215986023602 431972047204 863944094408 1187923129811 1403909153413 2375846259622 2807818306826 4751692519244 5615636613652 9503385038488 11231273227304 15443000687543 30886001375086 61772002750172 123544005500344