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3116300076344 = 2371353641126001
BaseRepresentation
bin101101010110010001111…
…101011000010100111000
3102000220201022101021212002
4231112101331120110320
5402024140304420334
610343335233440132
7441100551411050
oct55262175302470
912026638337762
103116300076344
11aa1685173454
12423b62710048
13197b3431c320
14aab88abc560
15560de99ab7e
hex2d591f58538

3116300076344 has 128 divisors (see below), whose sum is σ = 7338638724480. Its totient is φ = 1207664640000.

The previous prime is 3116300076343. The next prime is 3116300076359. The reversal of 3116300076344 is 4436700036113.

3116300076344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31163000763442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3116300076298 and 3116300076307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116300076343) 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, 24669344 + ... + 24795344.

It is an arithmetic number, because the mean of its divisors is an integer number (57333115035).

Almost surely, 23116300076344 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 3116300076344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669319362240).

3116300076344 is an abundant number, since it is smaller than the sum of its proper divisors (4222338648136).

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

3116300076344 is a wasteful number, since it uses less digits than its factorization.

3116300076344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126721 (or 126717 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The spelling of 3116300076344 in words is "three trillion, one hundred sixteen billion, three hundred million, seventy-six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 104 106 182 212 364 371 424 641 689 728 742 1282 1378 1484 2564 2756 2968 4487 4823 5128 5512 8333 8974 9646 16666 17948 19292 33332 33973 35896 38584 58331 66664 67946 116662 126001 135892 233324 237811 252002 271784 441649 466648 475622 504004 882007 883298 951244 1008008 1638013 1764014 1766596 1902488 3091543 3276026 3528028 3533192 6183086 6552052 6678053 7056056 11466091 12366172 13104104 13356106 22932182 24732344 26712212 45864364 46746371 53424424 80766641 86814689 91728728 93492742 161533282 173629378 186985484 323066564 347258756 373970968 565366487 607702823 646133128 694517512 1049966333 1130732974 1215405646 2099932666 2261465948 2430811292 4199865332 4280631973 4522931896 4861622584 7349764331 8399730664 8561263946 14699528662 17122527892 29399057324 29964423811 34245055784 55648215649 58798114648 59928847622 111296431298 119857695244 222592862596 239715390488 389537509543 445185725192 779075019086 1558150038172 3116300076344