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14932215540 = 22345112174481
BaseRepresentation
bin11011110100000011…
…11000011011110100
31102112122121010220000
431322001320123310
5221040121344130
610505413111300
71036014511044
oct157201703364
942478533800
1014932215540
116372934600
122a88928530
13153c7a4ac8
14a1921b724
155c5dc5260
hex37a0786f4

14932215540 has 360 divisors, whose sum is σ = 54529392456. Its totient is φ = 3406233600.

The previous prime is 14932215509. The next prime is 14932215547. The reversal of 14932215540 is 4551223941.

14932215540 is a `hidden beast` number, since 1 + 4 + 93 + 2 + 21 + 5 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5052650724 + 9879564816 = 71082^2 + 99396^2 .

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 = 14932215495 and 14932215504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14932215547) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3330100 + ... + 3334580.

Almost surely, 214932215540 is an apocalyptic number.

14932215540 is a gapful number since it is divisible by the number (10) 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 14932215540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27264696228).

14932215540 is an abundant number, since it is smaller than the sum of its proper divisors (39597176916).

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

14932215540 is a wasteful number, since it uses less digits than its factorization.

14932215540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 14932215540 in words is "fourteen billion, nine hundred thirty-two million, two hundred fifteen thousand, five hundred forty".