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2140365312 = 29324111329
BaseRepresentation
bin111111110010011…
…0110001000000000
312112011110211020100
41333210312020000
513340413142222
6552215242400
7104016543051
oct17744661000
95464424210
102140365312
119a91a9158
124b8979400
13281581a67
14164396728
15c7d8c4ac
hex7f936200

2140365312 has 120 divisors (see below), whose sum is σ = 6328462140. Its totient is φ = 695992320.

The previous prime is 2140365299. The next prime is 2140365313. The reversal of 2140365312 is 2135630412.

2140365312 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 3 + 653 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1878702336 + 261662976 = 43344^2 + 16176^2 .

It is not an unprimeable number, because it can be changed into a prime (2140365313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183264 + ... + 194592.

Almost surely, 22140365312 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 2140365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164231070).

2140365312 is an abundant number, since it is smaller than the sum of its proper divisors (4188096828).

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

2140365312 is a wasteful number, since it uses less digits than its factorization.

2140365312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11394 (or 11375 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2140365312 is about 46264.0823101464. The cubic root of 2140365312 is about 1288.7320658626.

Adding to 2140365312 its reverse (2135630412), we get a palindrome (4275995724).

The spelling of 2140365312 in words is "two billion, one hundred forty million, three hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1152 1312 1476 1536 1968 2304 2624 2952 3936 4608 5248 5904 7872 10496 11329 11808 15744 20992 22658 23616 31488 33987 45316 47232 62976 67974 90632 94464 101961 135948 181264 188928 203922 271896 362528 407844 464489 543792 725056 815688 928978 1087584 1393467 1450112 1631376 1857956 2175168 2786934 2900224 3262752 3715912 4180401 4350336 5573868 5800448 6525504 7431824 8360802 8700672 11147736 13051008 14863648 16721604 17401344 22295472 26102016 29727296 33443208 44590944 52204032 59454592 66886416 89181888 118909184 133772832 178363776 237818368 267545664 356727552 535091328 713455104 1070182656 2140365312