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2142603478056 = 2334112723337349
BaseRepresentation
bin11111001011011101000…
…111101000010000101000
321120211102201110010012110
4133023131013220100220
5240101022442244211
64320144244242320
7310540466032266
oct37133507502050
97524381403173
102142603478056
11756744895588
122a73016a03a0
1312707b616412
14759b9b87436
153ab02569ea6
hex1f2dd1e8428

2142603478056 has 128 divisors (see below), whose sum is σ = 5533484544000. Its totient is φ = 690904811520.

The previous prime is 2142603478049. The next prime is 2142603478079. The reversal of 2142603478056 is 6508743062412.

It is a junction number, because it is equal to n+sod(n) for n = 2142603477996 and 2142603478014.

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, 291546670 + ... + 291554018.

It is an arithmetic number, because the mean of its divisors is an integer number (43230348000).

Almost surely, 22142603478056 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 2142603478056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766742272000).

2142603478056 is an abundant number, since it is smaller than the sum of its proper divisors (3390881065944).

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

2142603478056 is a wasteful number, since it uses less digits than its factorization.

2142603478056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9859 (or 9855 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 2142603478056 in words is "two trillion, one hundred forty-two billion, six hundred three million, four hundred seventy-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 127 164 246 254 328 381 492 508 762 984 1016 1524 2333 3048 4666 5207 6999 7349 9332 10414 13998 14698 15621 18664 20828 22047 27996 29396 31242 41656 44094 55992 58792 62484 88188 95653 124968 176376 191306 286959 296291 301309 382612 573918 592582 602618 765224 888873 903927 933323 1147836 1185164 1205236 1777746 1807854 1866646 2295672 2370328 2410472 2799969 3555492 3615708 3733292 5599938 7110984 7231416 7466584 11199876 12147931 17145217 22399752 24295862 34290434 36443793 38266243 48591724 51435651 68580868 72887586 76532486 97183448 102871302 114798729 137161736 145775172 153064972 205742604 229597458 291550344 306129944 411485208 459194916 702953897 918389832 1405907794 2108861691 2177442559 2811815588 4217723382 4354885118 5623631176 6532327677 8435446764 8709770236 13064655354 16870893528 17419540472 26129310708 52258621416 89275144919 178550289838 267825434757 357100579676 535650869514 714201159352 1071301739028 2142603478056