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114455031504 = 243111775116979
BaseRepresentation
bin110101010011000001…
…1010010111011010000
3101221102120100000200220
41222212003102323100
53333400442002004
6124325132313040
711161205500332
oct1524603227320
9357376300626
10114455031504
11445a3977230
121a222912780
13aa4048a518
14577ab45452
152e9d2a1dd9
hex1aa60d2ed0

114455031504 has 160 divisors (see below), whose sum is σ = 342003824640. Its totient is φ = 32597760000.

The previous prime is 114455031497. The next prime is 114455031529. The reversal of 114455031504 is 405130554411.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 6732487 + ... + 6749465.

It is an arithmetic number, because the mean of its divisors is an integer number (2137523904).

Almost surely, 2114455031504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114455031504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171001912320).

114455031504 is an abundant number, since it is smaller than the sum of its proper divisors (227548793136).

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

114455031504 is a wasteful number, since it uses less digits than its factorization.

114455031504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17769 (or 17763 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 114455031504 its reverse (405130554411), we get a palindrome (519585585915).

The spelling of 114455031504 in words is "one hundred fourteen billion, four hundred fifty-five million, thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 751 816 1122 1496 1502 2244 2253 2992 3004 4488 4506 6008 8261 8976 9012 12016 12767 16522 16979 18024 24783 25534 33044 33958 36048 38301 49566 50937 51068 66088 67916 76602 99132 101874 102136 132176 135832 140437 153204 186769 198264 203748 204272 271664 280874 288643 306408 373538 396528 407496 421311 560307 561748 577286 612816 747076 814992 842622 865929 1120614 1123496 1154572 1494152 1685244 1731858 2241228 2246992 2309144 2988304 3175073 3370488 3463716 4482456 4618288 6350146 6740976 6927432 8964912 9525219 12700292 12751229 13854864 19050438 25400584 25502458 38100876 38253687 50801168 51004916 76201752 76507374 102009832 140263519 152403504 153014748 204019664 216770893 280527038 306029496 420790557 433541786 561054076 612058992 650312679 841581114 867083572 1122108152 1300625358 1683162228 1734167144 2244216304 2384479823 2601250716 3366324456 3468334288 4768959646 5202501432 6732648912 7153439469 9537919292 10405002864 14306878938 19075838584 28613757876 38151677168 57227515752 114455031504