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23014404114 = 2313237259281
BaseRepresentation
bin10101011011110000…
…111111000000010010
32012101220122212022120
4111123300333000102
5334113141412424
614323410315110
71443214131042
oct253360770022
965356585276
1023014404114
119840038499
124563588a96
13222a063500
14118479b722
158ea707a79
hex55bc3f012

23014404114 has 144 divisors (see below), whose sum is σ = 52278942240. Its totient is φ = 6749084160.

The previous prime is 23014404107. The next prime is 23014404137. The reversal of 23014404114 is 41140441032.

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 71 ways as a sum of consecutive naturals, for example, 81901654 + ... + 81901934.

It is an arithmetic number, because the mean of its divisors is an integer number (363048210).

Almost surely, 223014404114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23014404114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26139471120).

23014404114 is an abundant number, since it is smaller than the sum of its proper divisors (29264538126).

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

23014404114 is a wasteful number, since it uses less digits than its factorization.

23014404114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 23014404114 its reverse (41140441032), we get a palindrome (64154845146).

The spelling of 23014404114 in words is "twenty-three billion, fourteen million, four hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 37 39 59 74 78 111 118 169 177 222 281 338 354 481 507 562 767 843 962 1014 1369 1443 1534 1686 2183 2301 2738 2886 3653 4107 4366 4602 6253 6549 7306 8214 9971 10397 10959 12506 13098 16579 17797 18759 19942 20794 21918 28379 29913 31191 33158 35594 37518 47489 49737 53391 56758 59826 62382 80771 85137 94978 99474 106782 135161 142467 161542 170274 215527 231361 242313 270322 284934 368927 384689 405483 431054 462722 484626 613423 646581 694083 737854 769378 810966 1050023 1106781 1154067 1226846 1293162 1388166 1757093 1840269 2100046 2213562 2308134 2801851 3150069 3514186 3680538 5000957 5271279 5603702 6300138 7974499 8405553 10001914 10542558 13650299 15002871 15948998 16811106 22696651 23923497 27300598 30005742 40950897 45393302 47846994 65012441 68089953 81901794 103668487 130024882 136179906 195037323 207336974 295056463 311005461 390074646 590112926 622010922 885169389 1770338778 3835734019 7671468038 11507202057 23014404114