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41344313014100 = 22522380922219763
BaseRepresentation
bin10010110011010001110010…
…00101110011011101010100
312102101110220021000211010002
421121220321011303131110
520404341123112422400
6223533152025350432
711465012422114145
oct1131507105633524
9172343807024102
1041344313014100
11121a002a941668
12477897a938418
131a0b9a116c3b5
14a2d10ad85acc
154ba6d90cded5
hex259a39173754

41344313014100 has 72 divisors (see below), whose sum is σ = 93733630038720. Its totient is φ = 15799139572480.

The previous prime is 41344313014097. The next prime is 41344313014141. The reversal of 41344313014100 is 141031344314.

41344313014100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 9249182 + ... + 12970581.

It is an arithmetic number, because the mean of its divisors is an integer number (1301855972760).

Almost surely, 241344313014100 is an apocalyptic number.

It is an amenable number.

41344313014100 is an abundant number, since it is smaller than the sum of its proper divisors (52389317024620).

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

41344313014100 is a wasteful number, since it uses less digits than its factorization.

41344313014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22220609 (or 22220602 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 41344313014100 its reverse (141031344314), we get a palindrome (41485344358414).

The spelling of 41344313014100 in words is "forty-one trillion, three hundred forty-four billion, three hundred thirteen million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 809 1150 1618 2300 3236 4045 8090 16180 18607 20225 37214 40450 74428 80900 93035 186070 372140 465175 930350 1860700 22219763 44439526 88879052 111098815 222197630 444395260 511054549 555494075 1022109098 1110988150 2044218196 2221976300 2555272745 5110545490 10221090980 12776363725 17975788267 25552727450 35951576534 51105454900 71903153068 89878941335 179757882670 359515765340 413443130141 449394706675 826886260282 898789413350 1653772520564 1797578826700 2067215650705 4134431301410 8268862602820 10336078253525 20672156507050 41344313014100