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41313314131400 = 23521871110404367
BaseRepresentation
bin10010110010011000000010…
…11010011100110111001000
312102021111212220011102021102
421121030001122130313020
520403334131404201100
6223511024032000532
711462534303006633
oct1131140132346710
9172244786142242
1041313314131400
1112188972878243
124772969390148
131a08aa0b6b85c
14a2b80a000c1a
154b99c2944cd5
hex25930169cdc8

41313314131400 has 48 divisors (see below), whose sum is σ = 96104794256640. Its totient is φ = 16516493153600.

The previous prime is 41313314131399. The next prime is 41313314131429. The reversal of 41313314131400 is 413141331314.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54827984 + ... + 55576383.

It is an arithmetic number, because the mean of its divisors is an integer number (2002183213680).

Almost surely, 241313314131400 is an apocalyptic number.

41313314131400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41313314131400 is an abundant number, since it is smaller than the sum of its proper divisors (54791480125240).

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

41313314131400 is a wasteful number, since it uses less digits than its factorization.

41313314131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110406254 (or 110406245 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 41313314131400 its reverse (413141331314), we get a palindrome (41726455462714).

The spelling of 41313314131400 in words is "forty-one trillion, three hundred thirteen billion, three hundred fourteen million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1871 3742 7484 9355 14968 18710 37420 46775 74840 93550 187100 374200 110404367 220808734 441617468 552021835 883234936 1104043670 2208087340 2760109175 4416174680 5520218350 11040436700 22080873400 206566570657 413133141314 826266282628 1032832853285 1652532565256 2065665706570 4131331413140 5164164266425 8262662826280 10328328532850 20656657065700 41313314131400