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12316023453144 = 23317167191946369
BaseRepresentation
bin1011001100111000110000…
…1100111111010111011000
31121121101210211221220000010
42303032030030333113120
53103241204001000034
642105523021241520
72410542354025605
oct263161414772730
947541724856003
1012316023453144
113a19218185664
12146ab174032a0
136b451c0c67c8
14308154c396ac
1516557c1a93e9
hexb338c33f5d8

12316023453144 has 128 divisors (see below), whose sum is σ = 32968199577600. Its totient is φ = 3820601180160.

The previous prime is 12316023453067. The next prime is 12316023453211. The reversal of 12316023453144 is 44135432061321.

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, 12540792 + ... + 13487160.

It is an arithmetic number, because the mean of its divisors is an integer number (257564059200).

Almost surely, 212316023453144 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 12316023453144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16484099788800).

12316023453144 is an abundant number, since it is smaller than the sum of its proper divisors (20652176124456).

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

12316023453144 is a wasteful number, since it uses less digits than its factorization.

12316023453144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946753 (or 946749 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 12316023453144 in words is "twelve trillion, three hundred sixteen billion, twenty-three million, four hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 167 191 204 334 382 408 501 573 668 764 1002 1146 1336 1528 2004 2292 2839 3247 4008 4584 5678 6494 8517 9741 11356 12988 17034 19482 22712 25976 31897 34068 38964 63794 68136 77928 95691 127588 191382 255176 382764 542249 765528 946369 1084498 1626747 1892738 2168996 2839107 3253494 3785476 4337992 5678214 6506988 7570952 11356428 13013976 16088273 22712856 32176546 48264819 64353092 96529638 128706184 158043623 180756479 193059276 316087246 361512958 386118552 474130869 542269437 632174492 723025916 948261738 1084538874 1264348984 1446051832 1896523476 2169077748 2686741591 3072860143 3793046952 4338155496 5373483182 6145720286 8060224773 9218580429 10746966364 12291440572 16120449546 18437160858 21493932728 24582881144 30186331993 32240899092 36874321716 60372663986 64481798184 73748643432 90558995979 120745327972 181117991958 241490655944 362235983916 513167643881 724471967832 1026335287762 1539502931643 2052670575524 3079005863286 4105341151048 6158011726572 12316023453144