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41191803040 = 2553171116969
BaseRepresentation
bin100110010111001110…
…010000100010100000
310221022201122101220211
4212113032100202200
51133330100144130
630531231143504
72655525356143
oct462716204240
9127281571824
1041191803040
1116518776333
127b97074b94
133b65c66a6b
141dca9a605a
151111453a2a
hex9973908a0

41191803040 has 96 divisors (see below), whose sum is σ = 101870576640. Its totient is φ = 15720499200.

The previous prime is 41191802963. The next prime is 41191803049. The reversal of 41191803040 is 4030819114.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 41191802993 and 41191803011.

It is not an unprimeable number, because it can be changed into a prime (41191803049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293676 + ... + 410644.

It is an arithmetic number, because the mean of its divisors is an integer number (1061151840).

Almost surely, 241191803040 is an apocalyptic number.

41191803040 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 41191803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50935288320).

41191803040 is an abundant number, since it is smaller than the sum of its proper divisors (60678773600).

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

41191803040 is a wasteful number, since it uses less digits than its factorization.

41191803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117086 (or 117078 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 41191803040 in words is "forty-one billion, one hundred ninety-one million, eight hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 71 80 124 142 155 160 248 284 310 355 496 568 620 710 992 1136 1240 1420 2201 2272 2480 2840 4402 4960 5680 8804 11005 11360 17608 22010 35216 44020 70432 88040 116969 176080 233938 352160 467876 584845 935752 1169690 1871504 2339380 3626039 3743008 4678760 7252078 8304799 9357520 14504156 16609598 18130195 18715040 29008312 33219196 36260390 41523995 58016624 66438392 72520780 83047990 116033248 132876784 145041560 166095980 257448769 265753568 290083120 332191960 514897538 580166240 664383920 1029795076 1287243845 1328767840 2059590152 2574487690 4119180304 5148975380 8238360608 10297950760 20595901520 41191803040