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40407030144 = 273413349859
BaseRepresentation
bin100101101000011100…
…100101100110000000
310212022000221210220000
4211220130211212000
51130223144431034
630321314520000
72630216042415
oct455034454600
9125260853800
1040407030144
1116155795898
1279b8296000
133a6c4b59c0
141d5468210c
1510b75d8599
hex968725980

40407030144 has 320 divisors, whose sum is σ = 130022970000. Its totient is φ = 12382875648.

The previous prime is 40407030133. The next prime is 40407030163. The reversal of 40407030144 is 44103070404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47039187 + ... + 47040045.

Almost surely, 240407030144 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 40407030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65011485000).

40407030144 is an abundant number, since it is smaller than the sum of its proper divisors (89615939856).

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

40407030144 is a wasteful number, since it uses less digits than its factorization.

40407030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 40407030144 in words is "forty billion, four hundred seven million, thirty thousand, one hundred forty-four".