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41041100014112 = 25111992287256187
BaseRepresentation
bin10010101010011101000000…
…01100000000001000100000
312101022111020211021110222102
421111032200030000020200
520334404133100422422
6223142004314425532
711434056501125552
oct1125164014001040
9171274224243872
1041041100014112
1112093484022980
12472a0594322a8
1319b920b79ca83
14a1c5852334d2
154b288e805192
hex2553a0300220

41041100014112 has 96 divisors (see below), whose sum is σ = 88627111372800. Its totient is φ = 18553113089280.

The previous prime is 41041100014087. The next prime is 41041100014163. The reversal of 41041100014112 is 21141000114014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160071683 + ... + 160327869.

It is an arithmetic number, because the mean of its divisors is an integer number (923199076800).

Almost surely, 241041100014112 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 41041100014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44313555686400).

41041100014112 is an abundant number, since it is smaller than the sum of its proper divisors (47586011358688).

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

41041100014112 is a wasteful number, since it uses less digits than its factorization.

41041100014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258694 (or 258686 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 41041100014112 its reverse (21141000114014), we get a palindrome (62182100128126).

The spelling of 41041100014112 in words is "forty-one trillion, forty-one billion, one hundred million, fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 199 352 398 796 1592 2189 2287 3184 4378 4574 6368 8756 9148 17512 18296 25157 35024 36592 50314 70048 73184 100628 201256 256187 402512 455113 512374 805024 910226 1024748 1820452 2049496 2818057 3640904 4098992 5006243 5636114 7281808 8197984 10012486 11272228 14563616 20024972 22544456 40049944 45088912 50981213 80099888 90177824 101962426 160199776 203924852 407849704 560793343 585899669 815699408 1121586686 1171799338 1631398816 2243173372 2343598676 4486346744 4687197352 6444896359 8972693488 9374394704 12889792718 17945386976 18748789408 25779585436 51559170872 103118341744 116594034131 206236683488 233188068262 466376136524 932752273048 1282534375441 1865504546096 2565068750882 3731009092192 5130137501764 10260275003528 20520550007056 41041100014112