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42530520040 = 2356123777333
BaseRepresentation
bin100111100111000001…
…000011101111101000
311001210000200021101221
4213213001003233220
51144100303120130
631312132351424
73033642312151
oct474701035750
9131700607357
1042530520040
1117045408218
1282ab475574
13401a4095b8
1420b66c4928
15118dc4087a
hex9e7043be8

42530520040 has 64 divisors (see below), whose sum is σ = 97316606160. Its totient is φ = 16723998720.

The previous prime is 42530520031. The next prime is 42530520047. The reversal of 42530520040 is 4002503524.

42530520040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3006756 + 42527513284 = 1734^2 + 206222^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42530519987 and 42530520014.

It is not an unprimeable number, because it can be changed into a prime (42530520047) 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, 5796214 + ... + 5803546.

Almost surely, 242530520040 is an apocalyptic number.

42530520040 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 42530520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48658303080).

42530520040 is an abundant number, since it is smaller than the sum of its proper divisors (54786086120).

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

42530520040 is a wasteful number, since it uses less digits than its factorization.

42530520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9782 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 42530520040 in words is "forty-two billion, five hundred thirty million, five hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2377 2440 4754 7333 9508 11885 14666 19016 23770 29332 36665 47540 58664 73330 95080 144997 146660 289994 293320 447313 579988 724985 894626 1159976 1449970 1789252 2236565 2899940 3578504 4473130 5799880 8946260 17430541 17892520 34861082 69722164 87152705 139444328 174305410 348610820 697221640 1063263001 2126526002 4253052004 5316315005 8506104008 10632630010 21265260020 42530520040