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124310433104 = 241113479531213
BaseRepresentation
bin111001111000101111…
…0101010110101010000
3102212212102000022002222
41303301132222311100
54014041432324404
6133035112000212
711660346150524
oct1636136526520
9385772008088
10124310433104
11487a0aa9330
1220113390068
13b95121a5c0
1460339c7d84
1533785eadbe
hex1cf17aad50

124310433104 has 160 divisors (see below), whose sum is σ = 289520469504. Its totient is φ = 50952867840.

The previous prime is 124310433073. The next prime is 124310433131. The reversal of 124310433104 is 401334013421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 102481202 + ... + 102482414.

Almost surely, 2124310433104 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 124310433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144760234752).

124310433104 is an abundant number, since it is smaller than the sum of its proper divisors (165210036400).

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

124310433104 is a wasteful number, since it uses less digits than its factorization.

124310433104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 124310433104 its reverse (401334013421), we get a palindrome (525644446525).

The spelling of 124310433104 in words is "one hundred twenty-four billion, three hundred ten million, four hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 44 47 52 88 94 104 143 176 188 208 286 376 517 572 611 752 953 1034 1144 1213 1222 1906 2068 2288 2426 2444 3812 4136 4852 4888 6721 7624 8272 9704 9776 10483 12389 13343 13442 15248 15769 19408 20966 24778 26686 26884 31538 41932 44791 49556 53372 53768 57011 63076 83864 89582 99112 106744 107536 114022 126152 136279 167728 173459 179164 198224 213488 228044 252304 272558 346918 358328 456088 492701 545116 582283 627121 693836 716656 741143 912176 985402 1090232 1155989 1164566 1254242 1387672 1482286 1970804 2180464 2311978 2329132 2508484 2775344 2964572 3941608 4623956 4658264 5016968 5929144 6405113 7883216 8152573 9247912 9316528 10033936 11858288 12715879 12810226 15027857 16305146 18495824 25431758 25620452 30055714 32610292 50863516 51240904 54331483 60111428 65220584 101727032 102481808 108662966 120222856 130441168 165306427 203454064 217325932 240445712 330612854 434651864 597646313 661225708 706309279 869303728 1195292626 1322451416 1412618558 2390585252 2644902832 2825237116 4781170504 5650474232 7769402069 9562341008 11300948464 15538804138 31077608276 62155216552 124310433104