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41190989040 = 24325220325969
BaseRepresentation
bin100110010111001011…
…001001110011110000
310221022200010001022200
4212113023021303300
51133324343122130
630531201503200
72655515426025
oct462713116360
9127280101280
1041190989040
111651826a803
127b96941b00
133b65a403c6
141dca83354c
151111342760
hex9972c9cf0

41190989040 has 120 divisors (see below), whose sum is σ = 138401193840. Its totient is φ = 10978854912.

The previous prime is 41190989033. The next prime is 41190989093. The reversal of 41190989040 is 4098909114.

41190989040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1573176 + ... + 1599144.

It is an arithmetic number, because the mean of its divisors is an integer number (1153343282).

Almost surely, 241190989040 is an apocalyptic number.

41190989040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41190989040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69200596920).

41190989040 is an abundant number, since it is smaller than the sum of its proper divisors (97210204800).

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

41190989040 is a wasteful number, since it uses less digits than its factorization.

41190989040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28191 (or 28182 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 41190989040 in words is "forty-one billion, one hundred ninety million, nine hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2203 4406 6609 8812 11015 13218 17624 19827 22030 25969 26436 33045 35248 39654 44060 51938 52872 66090 77907 79308 88120 99135 103876 105744 129845 132180 155814 158616 176240 198270 207752 233721 259690 264360 311628 317232 389535 396540 415504 467442 519380 528720 623256 779070 793080 934884 1038760 1168605 1246512 1558140 1586160 1869768 2077520 2337210 3116280 3739536 4674420 6232560 9348840 18697680 57209707 114419414 171629121 228838828 286048535 343258242 457677656 514887363 572097070 686516484 858145605 915355312 1029774726 1144194140 1373032968 1716291210 2059549452 2288388280 2574436815 2746065936 3432582420 4119098904 4576776560 5148873630 6865164840 8238197808 10297747260 13730329680 20595494520 41190989040