Search a number
-
+
40427063040 = 2835713196089
BaseRepresentation
bin100101101001101001…
…000000011100000000
310212100102122120212010
4211221221000130000
51130243312004130
630323312132520
72630551236360
oct455151003400
9125312576763
1040427063040
1116166028901
127a02b37140
133a736ab0a0
141d571b89a0
1510b92440b0
hex969a40700

40427063040 has 576 divisors, whose sum is σ = 167300582400. Its totient is φ = 8079409152.

The previous prime is 40427063011. The next prime is 40427063063. The reversal of 40427063040 is 4036072404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40427062989 and 40427063007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6636316 + ... + 6642404.

It is an arithmetic number, because the mean of its divisors is an integer number (290452400).

Almost surely, 240427063040 is an apocalyptic number.

40427063040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40427063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83650291200).

40427063040 is an abundant number, since it is smaller than the sum of its proper divisors (126873519360).

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

40427063040 is a wasteful number, since it uses less digits than its factorization.

40427063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6152 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 40427063040 in words is "forty billion, four hundred twenty-seven million, sixty-three thousand, forty".