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32313141204 = 223173374431061
BaseRepresentation
bin11110000110000000…
…110110011111010100
310002101221212122120120
4132012000312133110
51012134131004304
622502222431540
72222515111521
oct360600663724
9102357778516
1032313141204
1112781a20283
1263197325b0
13307c68b7c6
1417c7738148
15c91c440d9
hex7860367d4

32313141204 has 96 divisors (see below), whose sum is σ = 80325737856. Its totient is φ = 10075054080.

The previous prime is 32313141197. The next prime is 32313141227. The reversal of 32313141204 is 40214131323.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30454834 + ... + 30455894.

It is an arithmetic number, because the mean of its divisors is an integer number (836726436).

Almost surely, 232313141204 is an apocalyptic number.

32313141204 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32313141204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40162868928).

32313141204 is an abundant number, since it is smaller than the sum of its proper divisors (48012596652).

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

32313141204 is a wasteful number, since it uses less digits than its factorization.

32313141204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32313141204 its reverse (40214131323), we get a palindrome (72527272527).

The spelling of 32313141204 in words is "thirty-two billion, three hundred thirteen million, one hundred forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 337 443 674 886 1011 1061 1329 1348 1772 2022 2122 2658 3183 4044 4244 5316 5729 6366 7531 11458 12732 15062 17187 18037 22593 22916 30124 34374 36074 45186 54111 68748 72148 90372 108222 149291 216444 298582 357557 447873 470023 597164 715114 895746 940046 1072671 1410069 1430228 1791492 1880092 2145342 2537947 2820138 4290684 5075894 5640276 6078469 7613841 7990391 10151788 12156938 15227682 15980782 18235407 23971173 24313876 30455364 31961564 36470814 47942346 72941628 95884692 158397751 316795502 475193253 633591004 950386506 1900773012 2692761767 5385523534 8078285301 10771047068 16156570602 32313141204