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41314540200 = 23352113609359
BaseRepresentation
bin100110011110100010…
…011101101010101000
310221122021121002122120
4212132202131222220
51134103010241300
630551333551240
72661545540343
oct463642355250
9127567532576
1041314540200
1116580a875aa
1280101a5520
133b8550b7bb
141ddcdd545a
15111c0ea3a0
hex99e89daa8

41314540200 has 96 divisors (see below), whose sum is σ = 129208694400. Its totient is φ = 10919695360.

The previous prime is 41314540199. The next prime is 41314540259. The reversal of 41314540200 is 204541314.

41314540200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236880 + ... + 372479.

It is an arithmetic number, because the mean of its divisors is an integer number (1345923900).

Almost surely, 241314540200 is an apocalyptic number.

41314540200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41314540200 is an abundant number, since it is smaller than the sum of its proper divisors (87894154200).

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

41314540200 is a wasteful number, since it uses less digits than its factorization.

41314540200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609491 (or 609482 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 41314540200 in words is "forty-one billion, three hundred fourteen million, five hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 113 120 150 200 226 300 339 452 565 600 678 904 1130 1356 1695 2260 2712 2825 3390 4520 5650 6780 8475 11300 13560 16950 22600 33900 67800 609359 1218718 1828077 2437436 3046795 3656154 4874872 6093590 7312308 9140385 12187180 14624616 15233975 18280770 24374360 30467950 36561540 45701925 60935900 68857567 73123080 91403850 121871800 137715134 182807700 206572701 275430268 344287835 365615400 413145402 550860536 688575670 826290804 1032863505 1377151340 1652581608 1721439175 2065727010 2754302680 3442878350 4131454020 5164317525 6885756700 8262908040 10328635050 13771513400 20657270100 41314540200