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114222121550504 = 231122317592916629
BaseRepresentation
bin11001111110001001101000…
…111110110000001010101000
3112222102112021001010100221222
4121332021220332300022220
5104432403401104104004
61042532530201321212
733026163436535222
oct3176115076601250
9488375231110858
10114222121550504
113343836993a300
1210989019496208
134b9713b4888c6
14202c547303412
15d312a5c807be
hex67e268fb02a8

114222121550504 has 96 divisors (see below), whose sum is σ = 245780910144000. Its totient is φ = 49633541992320.

The previous prime is 114222121550497. The next prime is 114222121550521. The reversal of 114222121550504 is 405055121222411.

It is a super-2 number, since 2×1142221215505042 (a number of 29 digits) contains 22 as substring.

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, 37704062 + ... + 40620690.

It is an arithmetic number, because the mean of its divisors is an integer number (2560217814000).

Almost surely, 2114222121550504 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 114222121550504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122890455072000).

114222121550504 is an abundant number, since it is smaller than the sum of its proper divisors (131558788593496).

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

114222121550504 is a wasteful number, since it uses less digits than its factorization.

114222121550504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918439 (or 2918424 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

Adding to 114222121550504 its reverse (405055121222411), we get a palindrome (519277242772915).

The spelling of 114222121550504 in words is "one hundred fourteen trillion, two hundred twenty-two billion, one hundred twenty-one million, five hundred fifty thousand, five hundred four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 484 506 968 1012 1759 2024 2783 3518 5566 7036 11132 14072 19349 22264 38698 40457 77396 80914 154792 161828 212839 323656 425678 445027 851356 890054 1702712 1780108 2916629 3560216 4895297 5833258 9790594 11666516 19581188 23333032 32082919 39162376 64165838 67082467 128331676 134164934 256663352 268329868 352912109 536659736 705824218 737907137 1411648436 1475814274 2823296872 2951628548 5130350411 5903257096 8116978507 10260700822 16233957014 20521401644 32467914028 41042803288 56433854521 64935828056 112867709042 117998059453 225735418084 235996118906 451470836168 471992237812 620772399731 943984475624 1241544799462 1297978653983 2483089598924 2595957307966 4966179197848 5191914615932 10383829231864 14277765193813 28555530387626 57111060775252 114222121550504