Search a number
-
+
40707070704 = 24327179101499
BaseRepresentation
bin100101111010010101…
…001001101011110000
310220001221112110011100
4211322111021223300
51131332002230304
630411153444400
72640521251266
oct457225115360
9126057473140
1040707070704
111629a0977a3
127a80870700
133ab96c90b1
141d82466436
1510d3b04439
hex97a549af0

40707070704 has 240 divisors, whose sum is σ = 118385280000. Its totient is φ = 13051584000.

The previous prime is 40707070667. The next prime is 40707070727.

40707070704 is nontrivially palindromic in base 10.

40707070704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×407070707043 (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81577047 + ... + 81577545.

It is an arithmetic number, because the mean of its divisors is an integer number (493272000).

Almost surely, 240707070704 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 40707070704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59192640000).

40707070704 is an abundant number, since it is smaller than the sum of its proper divisors (77678209296).

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

40707070704 is a wasteful number, since it uses less digits than its factorization.

40707070704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

It can be divided in two parts, 407070 and 70704, that added together give a palindrome (477774).

The spelling of 40707070704 in words is "forty billion, seven hundred seven million, seventy thousand, seven hundred four".