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12144010618944 = 263413031797847
BaseRepresentation
bin1011000010110111111101…
…1100000110100001000000
31120222221210222110112110000
42300231333130012201000
53042431413204301234
641454514221240000
72362242622043301
oct260557734064100
946887728415400
1012144010618944
113962278445356
121441710703000
136a1238150789
142ddab7b267a8
15160d60cb3899
hexb0b7f706840

12144010618944 has 140 divisors (see below), whose sum is σ = 36026299401664. Its totient is φ = 4044894610176.

The previous prime is 12144010618903. The next prime is 12144010618967. The reversal of 12144010618944 is 44981601044121.

12144010618944 is a `hidden beast` number, since 1 + 2 + 1 + 440 + 106 + 18 + 94 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12144010618944.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5855829 + ... + 7653675.

Almost surely, 212144010618944 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 12144010618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18013149700832).

12144010618944 is an abundant number, since it is smaller than the sum of its proper divisors (23882288782720).

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

12144010618944 is a wasteful number, since it uses less digits than its factorization.

12144010618944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799174 (or 1799155 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12144010618944 in words is "twelve trillion, one hundred forty-four billion, ten million, six hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1303 1728 2592 2606 3909 5184 5212 7818 10424 11727 15636 20848 23454 31272 35181 41696 46908 62544 70362 83392 93816 105543 125088 140724 187632 211086 250176 281448 375264 422172 562896 750528 844344 1125792 1688688 1797847 2251584 3377376 3595694 5393541 6754752 7191388 10787082 14382776 16180623 21574164 28765552 32361246 43148328 48541869 57531104 64722492 86296656 97083738 115062208 129444984 145625607 172593312 194167476 258889968 291251214 345186624 388334952 517779936 582502428 776669904 1035559872 1165004856 1553339808 2330009712 2342594641 3106679616 4660019424 4685189282 7027783923 9320038848 9370378564 14055567846 18740757128 21083351769 28111135692 37481514256 42166703538 56222271384 63250055307 74963028512 84333407076 112444542768 126500110614 149926057024 168666814152 189750165921 224889085536 253000221228 337333628304 379500331842 449778171072 506000442456 674667256608 759000663684 1012000884912 1349334513216 1518001327368 2024001769824 3036002654736 4048003539648 6072005309472 12144010618944