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1024233114112 = 2913796073209
BaseRepresentation
bin11101110011110010000…
…11010000101000000000
310121220201120022011121221
432321321003100220000
5113240112134122422
62102305354124424
7133666310552335
oct16717103205000
93556646264557
101024233114112
1136541398922a
12146605720714
137577a974710
1437804a0498c
151b998e533c7
hexee790d0a00

1024233114112 has 160 divisors (see below), whose sum is σ = 2236156876800. Its totient is φ = 465825005568.

The previous prime is 1024233114071. The next prime is 1024233114199. The reversal of 1024233114112 is 2114113324201.

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, 319173564 + ... + 319176772.

It is an arithmetic number, because the mean of its divisors is an integer number (13975980480).

Almost surely, 21024233114112 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 1024233114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118078438400).

1024233114112 is an abundant number, since it is smaller than the sum of its proper divisors (1211923762688).

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

1024233114112 is an equidigital number, since it uses as much as digits as its factorization.

1024233114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1024233114112 its reverse (2114113324201), we get a palindrome (3138346438313).

The spelling of 1024233114112 in words is "one trillion, twenty-four billion, two hundred thirty-three million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 208 256 316 416 512 607 632 832 1027 1214 1264 1664 2054 2428 2528 3209 3328 4108 4856 5056 6418 6656 7891 8216 9712 10112 12836 15782 16432 19424 20224 25672 31564 32864 38848 40448 41717 47953 51344 63128 65728 77696 83434 95906 102688 126256 131456 155392 166868 191812 205376 252512 253511 262912 310784 333736 383624 410752 505024 507022 525824 623389 667472 767248 821504 1010048 1014044 1246778 1334944 1534496 1643008 1947863 2020096 2028088 2493556 2669888 3068992 3295643 3895726 4040192 4056176 4987112 5339776 6137984 6591286 7791452 8112352 9974224 10679552 12275968 13182572 15582904 16224704 19948448 21359104 24551936 25322219 26365144 31165808 32449408 39896896 50644438 52730288 62331616 64898816 79793792 101288876 105460576 124663232 129797632 153881177 159587584 202577752 210921152 249326464 307762354 319175168 405155504 421842304 498652928 615524708 810311008 843684608 997305856 1231049416 1620622016 1687369216 2000455301 2462098832 3241244032 4000910602 4924197664 6482488064 8001821204 9848395328 12964976128 16003642408 19696790656 32007284816 39393581312 64014569632 78787162624 128029139264 256058278528 512116557056 1024233114112