Search a number
-
+
42225354160 = 2451147983357
BaseRepresentation
bin100111010100110100…
…111100010110110000
311000222202110020111221
4213110310330112300
51142434142313120
631221551514424
73023245405543
oct472464742660
9130882406457
1042225354160
11169a9125610
128225228a14
133c9c120382
142087d6885a
1511720610aa
hex9d4d3c5b0

42225354160 has 40 divisors (see below), whose sum is σ = 107098855056. Its totient is φ = 15354673920.

The previous prime is 42225354139. The next prime is 42225354161. The reversal of 42225354160 is 6145352224.

42225354160 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 (40).

It is not an unprimeable number, because it can be changed into a prime (42225354161) 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, 23990799 + ... + 23992558.

Almost surely, 242225354160 is an apocalyptic number.

42225354160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42225354160 is an abundant number, since it is smaller than the sum of its proper divisors (64873500896).

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

42225354160 is a wasteful number, since it uses less digits than its factorization.

42225354160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47983381 (or 47983375 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 42225354160 in words is "forty-two billion, two hundred twenty-five million, three hundred fifty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 47983357 95966714 191933428 239916785 383866856 479833570 527816927 767733712 959667140 1055633854 1919334280 2111267708 2639084635 3838668560 4222535416 5278169270 8445070832 10556338540 21112677080 42225354160