Search a number
-
+
114552231552504 = 233217462120252851
BaseRepresentation
bin11010000010111101000101…
…000100011110010111111000
3120000121002022222022222110100
4122002331011010132113320
5110003310432234140004
61043344322500315400
733062061041340144
oct3202750504362770
9500532288288410
10114552231552504
1133555368382779
1210a20ba66a2b60
134bbc2c93b5835
142040501326224
15d39b76a46739
hex682f4511e5f8

114552231552504 has 96 divisors (see below), whose sum is σ = 328566473623440. Its totient is φ = 35930176128000.

The previous prime is 114552231552481. The next prime is 114552231552541. The reversal of 114552231552504 is 405255132255411.

114552231552504 is a `hidden beast` number, since 1 + 1 + 4 + 552 + 23 + 1 + 55 + 25 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114552231552504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4470322 + ... + 15782529.

Almost surely, 2114552231552504 is an apocalyptic number.

It is an amenable number.

114552231552504 is an abundant number, since it is smaller than the sum of its proper divisors (214014242070936).

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

114552231552504 is a wasteful number, since it uses less digits than its factorization.

114552231552504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20257501 (or 20257494 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 114552231552504 in words is "one hundred fourteen trillion, five hundred fifty-two billion, two hundred thirty-one million, five hundred fifty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 4621 9242 13863 18484 27726 36968 41589 55452 78557 83178 110904 157114 166356 235671 314228 332712 471342 628456 707013 942684 1414026 1885368 2828052 5656104 20252851 40505702 60758553 81011404 121517106 162022808 182275659 243034212 344298467 364551318 486068424 688596934 729102636 1032895401 1377193868 1458205272 2065790802 2754387736 3098686203 4131581604 6197372406 8263163208 12394744812 24789489624 93588424471 187176848942 280765273413 374353697884 561530546826 748707395768 842295820239 1123061093652 1591003216007 1684591640478 2246122187304 3182006432014 3369183280956 4773009648021 6364012864028 6738366561912 9546019296042 12728025728056 14319028944063 19092038592084 28638057888126 38184077184168 57276115776252 114552231552504