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41334412123404 = 2232192631523150869
BaseRepresentation
bin10010110010111111010101…
…11100111001110100001100
312102100112100020202110101200
421121133222330321310030
520404210334000422104
6223524433343105500
711464212156664461
oct1131375274716414
9172315306673350
1041334412123404
111219690a06a974
124776a76ba2290
131a0aa83b731aa
14a2c84c061668
154ba309c9bb39
hex2597eaf39d0c

41334412123404 has 144 divisors (see below), whose sum is σ = 110474786822400. Its totient is φ = 12994717064832.

The previous prime is 41334412123397. The next prime is 41334412123441. The reversal of 41334412123404 is 40432121443314.

41334412123404 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 4 + 412 + 1 + 234 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 273900082 + ... + 274050950.

It is an arithmetic number, because the mean of its divisors is an integer number (767186019600).

Almost surely, 241334412123404 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 41334412123404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55237393411200).

41334412123404 is an abundant number, since it is smaller than the sum of its proper divisors (69140374698996).

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

41334412123404 is a wasteful number, since it uses less digits than its factorization.

41334412123404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152684 (or 152679 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 41334412123404 its reverse (40432121443314), we get a palindrome (81766533566718).

The spelling of 41334412123404 in words is "forty-one trillion, three hundred thirty-four billion, four hundred twelve million, one hundred twenty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 263 342 526 684 789 1052 1523 1578 2367 3046 3156 4569 4734 4997 6092 9138 9468 9994 13707 14991 18276 19988 27414 28937 29982 44973 54828 57874 59964 86811 89946 115748 150869 173622 179892 260433 301738 347244 400549 452607 520866 603476 801098 905214 1041732 1201647 1357821 1602196 1810428 2403294 2715642 2866511 3604941 4806588 5431284 5733022 7209882 7610431 8599533 11466044 14419764 15220862 17199066 22831293 25798599 30441724 34398132 39678547 45662586 51597198 68493879 79357094 91325172 103194396 119035641 136987758 158714188 229773487 238071282 273975516 357106923 459546974 476142564 689320461 714213846 753892393 919093948 1378640922 1428427692 1507784786 2067961383 2261677179 2757281844 3015569572 4135922766 4365696253 4523354358 6785031537 8271845532 8731392506 9046708716 13097088759 13570063074 17462785012 26194177518 27140126148 39291266277 52388355036 60430427081 78582532554 120860854162 157165065108 181291281243 241721708324 362582562486 543873843729 725165124972 1087747687458 1148178114539 2175495374916 2296356229078 3444534343617 4592712458156 6889068687234 10333603030851 13778137374468 20667206061702 41334412123404