Search a number
-
+
42180225040 = 245709743657
BaseRepresentation
bin100111010010001000…
…110010100000010000
311000212121112110000001
4213102020302200100
51142341114200130
631213300335344
73022156666012
oct472210624020
9130777473001
1042180225040
1116985701418
1282120a4554
133c9297c055
142081d7c1b2
15116d0e96ca
hex9d2232810

42180225040 has 40 divisors (see below), whose sum is σ = 98207475480. Its totient is φ = 16848270336.

The previous prime is 42180225037. The next prime is 42180225079. The reversal of 42180225040 is 4052208124.

It can be written as a sum of positive squares in 4 ways, for example, as 7028474896 + 35151750144 = 83836^2 + 187488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315109 + ... + 428548.

It is an arithmetic number, because the mean of its divisors is an integer number (2455186887).

Almost surely, 242180225040 is an apocalyptic number.

42180225040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42180225040 is an abundant number, since it is smaller than the sum of its proper divisors (56027250440).

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

42180225040 is a wasteful number, since it uses less digits than its factorization.

42180225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744379 (or 744373 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The spelling of 42180225040 in words is "forty-two billion, one hundred eighty million, two hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 709 1418 2836 3545 5672 7090 11344 14180 28360 56720 743657 1487314 2974628 3718285 5949256 7436570 11898512 14873140 29746280 59492560 527252813 1054505626 2109011252 2636264065 4218022504 5272528130 8436045008 10545056260 21090112520 42180225040