Search a number
-
+
40325900544 = 283953151
BaseRepresentation
bin100101100011100111…
…000110100100000000
310212002101022000000000
4211203213012210000
51130041412304134
630305300000000
72625212333106
oct454347064400
9125071260000
1040325900544
1116113a12a36
127995090000
133a5874b417
141d479a3c76
1510b040ee99
hex9639c6900

40325900544 has 360 divisors, whose sum is σ = 123832158912. Its totient is φ = 13101004800.

The previous prime is 40325900473. The next prime is 40325900579. The reversal of 40325900544 is 44500952304.

It is a happy number.

40325900544 is a `hidden beast` number, since 4 + 0 + 3 + 25 + 90 + 0 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40325900499 and 40325900508.

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, 267058869 + ... + 267059019.

Almost surely, 240325900544 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 40325900544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916079456).

40325900544 is an abundant number, since it is smaller than the sum of its proper divisors (83506258368).

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

40325900544 is an frugal number, since it uses more digits than its factorization.

40325900544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 40325900544 in words is "forty billion, three hundred twenty-five million, nine hundred thousand, five hundred forty-four".