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3113036058240 = 27325540457649
BaseRepresentation
bin101101010011001111011…
…010001000111010000000
3102000121021211112222202200
4231103033122020322000
5402000444212330430
610342035314313200
7440623635620223
oct55231732107200
912017254488680
103113036058240
11aa025a775329
124233b1588800
13197734027974
14aa9593cb5ba
1555e9d154460
hex2d4cf688e80

3113036058240 has 96 divisors (see below), whose sum is σ = 10749702658500. Its totient is φ = 830142947328.

The previous prime is 3113036058229. The next prime is 3113036058263. The reversal of 3113036058240 is 428506303113.

3113036058240 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 0 + 3 + 605 + 8 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2775902538816 + 337133519424 = 1666104^2 + 580632^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3113036058195 and 3113036058204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270223065 + ... + 270234584.

Almost surely, 23113036058240 is an apocalyptic number.

3113036058240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3113036058240 is an abundant number, since it is smaller than the sum of its proper divisors (7636666600260).

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

3113036058240 is a wasteful number, since it uses less digits than its factorization.

3113036058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540457674 (or 540457659 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3113036058240 in words is "three trillion, one hundred thirteen billion, thirty-six million, fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 540457649 1080915298 1621372947 2161830596 2702288245 3242745894 4323661192 4864118841 5404576490 6485491788 8106864735 8647322384 9728237682 10809152980 12970983576 16213729470 17294644768 19456475364 21618305960 24320594205 25941967152 32427458940 34589289536 38912950728 43236611920 48641188410 51883934304 64854917880 69178579072 77825901456 86473223840 97282376820 103767868608 129709835760 155651802912 172946447680 194564753640 207535737216 259419671520 311303605824 345892895360 389129507280 518839343040 622607211648 778259014560 1037678686080 1556518029120 3113036058240