Search a number
-
+
3120630615414 = 235133731324201
BaseRepresentation
bin101101011010010100000…
…101000100110101110110
3102001022220010001110200000
4231122110011010311312
5402112022414143124
610345333052132130
7441313064366304
oct55322405046566
912038803043600
103120630615414
11aa34a769a564
12424970a67046
13198374571c90
14ab079cb5274
1556294c636c9
hex2d694144d76

3120630615414 has 96 divisors (see below), whose sum is σ = 7571405665824. Its totient is φ = 957619065600.

The previous prime is 3120630615391. The next prime is 3120630615497. The reversal of 3120630615414 is 4145160360213.

3120630615414 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 6 + 30 + 615 + 4 + 1 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1694514 + ... + 3018714.

It is an arithmetic number, because the mean of its divisors is an integer number (78868809019).

Almost surely, 23120630615414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120630615414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785702832912).

3120630615414 is an abundant number, since it is smaller than the sum of its proper divisors (4450775050410).

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

3120630615414 is a wasteful number, since it uses less digits than its factorization.

3120630615414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324604 (or 1324592 counting only the distinct ones).

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

Adding to 3120630615414 its reverse (4145160360213), we get a palindrome (7265790975627).

The spelling of 3120630615414 in words is "three trillion, one hundred twenty billion, six hundred thirty million, six hundred fifteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 373 486 702 746 1053 1119 2106 2238 3159 3357 4849 6318 6714 9698 10071 14547 20142 29094 30213 43641 60426 87282 90639 130923 181278 261846 392769 785538 1178307 1324201 2356614 2648402 3972603 7945206 11917809 17214613 23835618 34429226 35753427 51643839 71506854 103287678 107260281 154931517 214520562 309863034 321780843 464794551 493926973 643561686 929589102 987853946 1394383653 1481780919 2788767306 2963561838 4183150959 4445342757 6421050649 8366301918 8890685514 12842101298 13336028271 19263151947 26672056542 38526303894 40008084813 57789455841 80016169626 115578911682 120024254439 173368367523 240048508878 346736735046 520105102569 1040210205138 1560315307707 3120630615414