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4520405514240 = 21132572111753101
BaseRepresentation
bin100000111000111110100…
…1010100011100000000000
3121000010221211110221101100
41001301331022203200000
51043030242302423430
613340351242134400
7644405601615600
oct101617512434000
917003854427340
104520405514240
11149310307aa20
126101027b1400
1326a370643595
14118b08646c00
157c8bd25b960
hex41c7d2a3800

4520405514240 has 3456 divisors, whose sum is σ = 21660628167360. Its totient is φ = 858783744000.

The previous prime is 4520405514217. The next prime is 4520405514253. The reversal of 4520405514240 is 424155040254.

4520405514240 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 405 + 5 + 1 + 4 + 240 = 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 = 4520405514195 and 4520405514204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 44756490190 + ... + 44756490290.

Almost surely, 24520405514240 is an apocalyptic number.

4520405514240 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 4520405514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830314083680).

4520405514240 is an abundant number, since it is smaller than the sum of its proper divisors (17140222653120).

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

4520405514240 is a wasteful number, since it uses less digits than its factorization.

4520405514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 4520405514240 in words is "four trillion, five hundred twenty billion, four hundred five million, five hundred fourteen thousand, two hundred forty".