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2140215548688 = 243373122830427
BaseRepresentation
bin11111001001001110110…
…010011001101100010000
321120121021022010201221000
4133021032302121230100
5240031130140024223
64315111302502000
7310424352001140
oct37111662315420
97517238121830
102140215548688
11755729977938
122a6955a34900
13126a8a995969
147583098a920
153aa12aca543
hex1f24ec99b10

2140215548688 has 160 divisors (see below), whose sum is σ = 7247291064320. Its totient is φ = 591764641920.

The previous prime is 2140215548687. The next prime is 2140215548711. The reversal of 2140215548688 is 8868455120412.

It is a happy number.

2140215548688 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 2 + 1 + 554 + 8 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2140215548687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11321470 + ... + 11508957.

It is an arithmetic number, because the mean of its divisors is an integer number (45295569152).

Almost surely, 22140215548688 is an apocalyptic number.

2140215548688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2140215548688 is an abundant number, since it is smaller than the sum of its proper divisors (5107075515632).

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

2140215548688 is a wasteful number, since it uses less digits than its factorization.

2140215548688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22830482 (or 22830470 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 2140215548688 in words is "two trillion, one hundred forty billion, two hundred fifteen million, five hundred forty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 15624 23436 31248 46872 93744 22830427 45660854 68491281 91321708 136982562 159812989 182643416 205473843 273965124 319625978 365286832 410947686 479438967 547930248 616421529 639251956 707743237 821895372 958877934 1095860496 1232843058 1278503912 1415486474 1438316901 1643790744 1917755868 2123229711 2465686116 2557007824 2830972948 2876633802 3287581488 3835511736 4246459422 4314950703 4931372232 4954202659 5661945896 5753267604 6369689133 7671023472 8492918844 8629901406 9862744464 9908405318 11323891792 11506535208 12739378266 14862607977 16985837688 17259802812 19109067399 19816810636 23013070416 25478756532 29725215954 33971675376 34519605624 38218134798 39633621272 44587823931 50957513064 59450431908 69039211248 76436269596 79267242544 89175647862 101915026128 118900863816 133763471793 152872539192 178351295724 237801727632 267526943586 305745078384 356702591448 535053887172 713405182896 1070107774344 2140215548688