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1414199520 = 253351132897
BaseRepresentation
bin101010001001010…
…1111100011100000
310122120001210001000
41110102233203200
510344013341040
6352155112000
750021332446
oct12422574340
93576053030
101414199520
11666308038
12335742600
13196cb0966
14d5b6ab96
158424c130
hex544af8e0

1414199520 has 192 divisors, whose sum is σ = 4995224640. Its totient is φ = 373653504.

The previous prime is 1414199453. The next prime is 1414199531. The reversal of 1414199520 is 259914141.

It is a happy number.

1414199520 is a `hidden beast` number, since 1 + 4 + 1 + 41 + 99 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486712 + ... + 489608.

It is an arithmetic number, because the mean of its divisors is an integer number (26016795).

Almost surely, 21414199520 is an apocalyptic number.

1414199520 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 1414199520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497612320).

1414199520 is an abundant number, since it is smaller than the sum of its proper divisors (3581025120).

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

1414199520 is a wasteful number, since it uses less digits than its factorization.

1414199520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1414199520 is about 37605.8442266624. The cubic root of 1414199520 is about 1122.4583331508.

The spelling of 1414199520 in words is "one billion, four hundred fourteen million, one hundred ninety-nine thousand, five hundred twenty".