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2140112352 = 253726911839
BaseRepresentation
bin111111110001111…
…1000010111100000
312112010222222020110
41333203320113200
513340332043402
6552210011320
7104014440420
oct17743702740
95463888213
102140112352
119a90460a4
124b8876b40
132814c3891
1416432c480
15c7d3c56c
hex7f8f85e0

2140112352 has 96 divisors (see below), whose sum is σ = 6444748800. Its totient is φ = 609136128.

The previous prime is 2140112347. The next prime is 2140112363. The reversal of 2140112352 is 2532110412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 174849 + ... + 186687.

It is an arithmetic number, because the mean of its divisors is an integer number (67132800).

Almost surely, 22140112352 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 2140112352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222374400).

2140112352 is an abundant number, since it is smaller than the sum of its proper divisors (4304636448).

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

2140112352 is a wasteful number, since it uses less digits than its factorization.

2140112352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12128 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2140112352 is about 46261.3483590783. The cubic root of 2140112352 is about 1288.6812940769.

Adding to 2140112352 its reverse (2532110412), we get a palindrome (4672222764).

The spelling of 2140112352 in words is "two billion, one hundred forty million, one hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 269 336 538 672 807 1076 1614 1883 2152 3228 3766 4304 5649 6456 7532 8608 11298 11839 12912 15064 22596 23678 25824 30128 35517 45192 47356 60256 71034 82873 90384 94712 142068 165746 180768 189424 248619 284136 331492 378848 497238 568272 662984 994476 1136544 1325968 1988952 2651936 3184691 3977904 6369382 7955808 9554073 12738764 19108146 22292837 25477528 38216292 44585674 50955056 66878511 76432584 89171348 101910112 133757022 152865168 178342696 267514044 305730336 356685392 535028088 713370784 1070056176 2140112352