Search a number
-
+
40074505380 = 22355713313779
BaseRepresentation
bin100101010100101000…
…000110110010100100
310211102212020210200000
4211110220012302210
51124033033133010
630224315421300
72616040450440
oct452450066244
9124385223600
1040074505380
1115aa5017038
127924a54830
133a1863a9a0
141d22443820
1510983027c0
hex954a06ca4

40074505380 has 1152 divisors, whose sum is σ = 166568263680. Its totient is φ = 7860602880.

The previous prime is 40074505357. The next prime is 40074505391. The reversal of 40074505380 is 8350547004.

40074505380 is a `hidden beast` number, since 4 + 0 + 0 + 74 + 50 + 538 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 507272181 + ... + 507272259.

Almost surely, 240074505380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40074505380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83284131840).

40074505380 is an abundant number, since it is smaller than the sum of its proper divisors (126493758300).

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

40074505380 is a wasteful number, since it uses less digits than its factorization.

40074505380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 40074505380 in words is "forty billion, seventy-four million, five hundred five thousand, three hundred eighty".