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232504141140120 = 23354745940825439
BaseRepresentation
bin110100110111011000010110…
…101111011101000010011000
31010111020011211100200002120010
4310313120112233131002120
5220433321440112440440
62142254532232001520
766654604235344323
oct6467302657350230
91114204740602503
10232504141140120
11680a04a8337533
12220b0a3a5302a0
139c9707b01ac15
14415b390a577ba
151bd2e762cd580
hexd37616bdd098

232504141140120 has 64 divisors (see below), whose sum is σ = 697527137664000. Its totient is φ = 61999796371328.

The previous prime is 232504141140113. The next prime is 232504141140179. The reversal of 232504141140120 is 21041141405232.

It is a super-2 number, since 2×2325041411401202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14717640 + ... + 26107799.

It is an arithmetic number, because the mean of its divisors is an integer number (10898861526000).

Almost surely, 2232504141140120 is an apocalyptic number.

232504141140120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232504141140120 is an abundant number, since it is smaller than the sum of its proper divisors (465022996523880).

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

232504141140120 is a wasteful number, since it uses less digits than its factorization.

232504141140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40872912 (or 40872908 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 232504141140120 its reverse (21041141405232), we get a palindrome (253545282545352).

The spelling of 232504141140120 in words is "two hundred thirty-two trillion, five hundred four billion, one hundred forty-one million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 47459 94918 142377 189836 237295 284754 379672 474590 569508 711885 949180 1139016 1423770 1898360 2847540 5695080 40825439 81650878 122476317 163301756 204127195 244952634 326603512 408254390 489905268 612381585 816508780 979810536 1224763170 1633017560 2449526340 4899052680 1937534509501 3875069019002 5812603528503 7750138038004 9687672547505 11625207057006 15500276076008 19375345095010 23250414114012 29063017642515 38750690190020 46500828228024 58126035285030 77501380380040 116252070570060 232504141140120