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42272756040 = 2335379520891
BaseRepresentation
bin100111010111101001…
…110001000101001000
311001010001122111200010
4213113221301011020
51143033311143130
631230403511520
73024362332464
oct472751610510
9131101574603
1042272756040
1116a22961319
1282390885a0
133ca8ba9018
1420903874a4
1511762c60b0
hex9d7a71148

42272756040 has 64 divisors (see below), whose sum is σ = 130245802560. Its totient is φ = 10968065280.

The previous prime is 42272756023. The next prime is 42272756041. The reversal of 42272756040 is 4065727224.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42272756040.

It is not an unprimeable number, because it can be changed into a prime (42272756041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4756006 + ... + 4764885.

It is an arithmetic number, because the mean of its divisors is an integer number (2035090665).

Almost surely, 242272756040 is an apocalyptic number.

42272756040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42272756040 is an abundant number, since it is smaller than the sum of its proper divisors (87973046520).

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

42272756040 is a wasteful number, since it uses less digits than its factorization.

42272756040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520942 (or 9520938 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 42272756040 in words is "forty-two billion, two hundred seventy-two million, seven hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 9520891 19041782 28562673 38083564 47604455 57125346 76167128 95208910 114250692 142813365 190417820 228501384 285626730 352272967 380835640 571253460 704545934 1056818901 1142506920 1409091868 1761364835 2113637802 2818183736 3522729670 4227275604 5284094505 7045459340 8454551208 10568189010 14090918680 21136378020 42272756040