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42014785480 = 2353361312517
BaseRepresentation
bin100111001000010001…
…101011111111001000
311000110002020020120221
4213020101223333020
51142021241113410
631145030355424
73015110532643
oct471021537710
9130402206527
1042014785480
1116900284208
1281867bbb74
133c67605715
142067dd4a5a
15115d81a4da
hex9c846bfc8

42014785480 has 32 divisors (see below), whose sum is σ = 94561696440. Its totient is φ = 16800860160.

The previous prime is 42014785457. The next prime is 42014785489. The reversal of 42014785480 is 8458741024.

42014785480 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 4 ways, for example, as 41912735076 + 102050404 = 204726^2 + 10102^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42014785489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21819 + ... + 290698.

Almost surely, 242014785480 is an apocalyptic number.

42014785480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42014785480 is an abundant number, since it is smaller than the sum of its proper divisors (52546910960).

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

42014785480 is a wasteful number, since it uses less digits than its factorization.

42014785480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315889 (or 315885 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 43.

The spelling of 42014785480 in words is "forty-two billion, fourteen million, seven hundred eighty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 3361 6722 13444 16805 26888 33610 67220 134440 312517 625034 1250068 1562585 2500136 3125170 6250340 12500680 1050369637 2100739274 4201478548 5251848185 8402957096 10503696370 21007392740 42014785480