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41110022001114 = 232112324137457401
BaseRepresentation
bin10010101100011101011000…
…10000100001000111011010
312101120002011010011012000200
421112032230100201013122
520342021311113013424
6223233403340043030
711442046445265303
oct1126165420410732
9171502133135020
1041110022001114
111210a731757910
12473b493233476
1319c28737943c1
14a21a429d17aa
154b45754748c9
hex2563ac4211da

41110022001114 has 96 divisors (see below), whose sum is σ = 101814612501888. Its totient is φ = 11866504320000.

The previous prime is 41110022001073. The next prime is 41110022001127.

41110022001114 is a `hidden beast` number, since 411 + 10 + 0 + 220 + 0 + 11 + 14 = 666.

41110022001114 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17631187 + ... + 19826214.

It is an arithmetic number, because the mean of its divisors is an integer number (1060568880228).

Almost surely, 241110022001114 is an apocalyptic number.

41110022001114 is an abundant number, since it is smaller than the sum of its proper divisors (60704590500774).

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

41110022001114 is a wasteful number, since it uses less digits than its factorization.

41110022001114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37457684 (or 37457681 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 4111002 and 2001114, that added together give a palindrome (6112116).

The spelling of 41110022001114 in words is "forty-one trillion, one hundred ten billion, twenty-two million, one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 241 253 414 482 506 723 759 1446 1518 2169 2277 2651 4338 4554 5302 5543 7953 11086 15906 16629 23859 33258 47718 49887 60973 99774 121946 182919 365838 548757 1097514 37457401 74914802 112372203 224744406 337116609 412031411 674233218 824062822 861520223 1236094233 1723040446 2472188466 2584560669 3708282699 5169121338 7416565398 7753682007 9027233641 9476722453 15507364014 18054467282 18953444906 27081700923 28430167359 54163401846 56860334718 81245102769 85290502077 99299570051 162490205538 170581004154 198599140102 207626373743 297898710153 415252747486 595797420306 622879121229 893696130459 1245758242458 1787392260918 1868637363687 2283890111173 3737274727374 4567780222346 6851670333519 13703340667038 20555011000557 41110022001114