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243131414232 = 23371786779811
BaseRepresentation
bin1110001001101111000…
…0101111011011011000
3212020120020122112202210
43202123300233123120
512440413120223412
6303405405555120
723365010631240
oct3423360573330
9766506575683
10243131414232
1194125388093
123b154275aa0
1319c09078365
14baa6502b20
1564ced0c83c
hex389bc2f6d8

243131414232 has 128 divisors (see below), whose sum is σ = 735683351040. Its totient is φ = 65365678080.

The previous prime is 243131414177. The next prime is 243131414233. The reversal of 243131414232 is 232414131342.

It is a super-2 number, since 2×2431314142322 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 243131414232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243131414233) 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, 24776607 + ... + 24786417.

It is an arithmetic number, because the mean of its divisors is an integer number (5747526180).

Almost surely, 2243131414232 is an apocalyptic number.

It is an amenable number.

243131414232 is an abundant number, since it is smaller than the sum of its proper divisors (492551936808).

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

243131414232 is a wasteful number, since it uses less digits than its factorization.

243131414232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18521 (or 18517 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 243131414232 its reverse (232414131342), we get a palindrome (475545545574).

The spelling of 243131414232 in words is "two hundred forty-three billion, one hundred thirty-one million, four hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 8677 9811 17354 19622 26031 29433 34708 39244 52062 58866 60739 68677 69416 78488 104124 117732 121478 137354 147509 166787 182217 206031 208248 235464 242956 274708 295018 333574 364434 412062 442527 485912 500361 549416 590036 667148 728868 824124 885054 1000722 1032563 1167509 1180072 1334296 1457736 1648248 1770108 2001444 2065126 2335018 3097689 3502527 3540216 4002888 4130252 4670036 6195378 7005054 8260504 9340072 12390756 14010108 24781512 28020216 85130047 170260094 255390141 340520188 510780282 595910329 681040376 1021560564 1191820658 1447210799 1787730987 2043121128 2383641316 2894421598 3575461974 4341632397 4767282632 5788843196 7150923948 8683264794 10130475593 11577686392 14301847896 17366529588 20260951186 30391426779 34733059176 40521902372 60782853558 81043804744 121565707116 243131414232