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114012533141112 = 233171792819553789
BaseRepresentation
bin11001111011000110011100…
…100010011010111001111000
3112221200111021110120000111210
4121323012130202122321320
5104420440131441003422
61042252345030323120
733005063566463664
oct3173063442327170
9487614243500453
10114012533141112
1133367497726221
12109544867b94a0
134b8044981b408
1420223439dd8a4
15d2aadab5110c
hex67b19c89ae78

114012533141112 has 128 divisors (see below), whose sum is σ = 303592108320000. Its totient is φ = 35556131321856.

The previous prime is 114012533141071. The next prime is 114012533141123. The reversal of 114012533141112 is 211141335210411.

It is a self number, because there is not a number n which added to its sum of digits gives 114012533141112.

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, 205600314 + ... + 206154102.

It is an arithmetic number, because the mean of its divisors is an integer number (2371813346250).

Almost surely, 2114012533141112 is an apocalyptic number.

114012533141112 is a gapful number since it is divisible by the number (12) 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 114012533141112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151796054160000).

114012533141112 is an abundant number, since it is smaller than the sum of its proper divisors (189579575178888).

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

114012533141112 is a wasteful number, since it uses less digits than its factorization.

114012533141112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556813 (or 556809 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 114012533141112 its reverse (211141335210411), we get a palindrome (325153868351523).

The spelling of 114012533141112 in words is "one hundred fourteen trillion, twelve billion, five hundred thirty-three million, one hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 179 204 358 408 537 716 1074 1432 2148 2819 3043 4296 5638 6086 8457 9129 11276 12172 16914 18258 22552 24344 33828 36516 47923 67656 73032 95846 143769 191692 287538 383384 504601 553789 575076 1009202 1107578 1150152 1513803 1661367 2018404 2215156 3027606 3322734 4036808 4430312 6055212 6645468 8578217 9414413 12110424 13290936 17156434 18828826 25734651 28243239 34312868 37657652 51469302 56486478 68625736 75315304 99128231 102938604 112972956 198256462 205877208 225945912 297384693 396512924 594769386 793025848 1189538772 1561131191 1685179927 2379077544 3122262382 3370359854 4683393573 5055539781 6244524764 6740719708 9366787146 10111079562 12489049528 13481439416 18733574292 20222159124 26539230247 37467148584 40444318248 53078460494 79617690741 106156920988 159235381482 212313841976 279442483189 318470762964 558884966378 636941525928 838327449567 1117769932756 1676654899134 2235539865512 3353309798268 4750522214213 6706619596536 9501044428426 14251566642639 19002088856852 28503133285278 38004177713704 57006266570556 114012533141112