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1401731136 = 263313232713
BaseRepresentation
bin101001110001100…
…1011100001000000
310121200121022122000
41103203023201000
510332320344021
6351031544000
746510342461
oct12343134100
93550538560
101401731136
1165a271393
1233152b000
13194536710
14d4242d68
15830d7b26
hex538cb840

1401731136 has 224 divisors, whose sum is σ = 4632472320. Its totient is φ = 412397568.

The previous prime is 1401731087. The next prime is 1401731147. The reversal of 1401731136 is 6311371041.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 515316 + ... + 518028.

It is an arithmetic number, because the mean of its divisors is an integer number (20680680).

Almost surely, 21401731136 is an apocalyptic number.

1401731136 is a gapful number since it is divisible by the number (16) 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 1401731136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316236160).

1401731136 is an abundant number, since it is smaller than the sum of its proper divisors (3230741184).

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

1401731136 is a wasteful number, since it uses less digits than its factorization.

1401731136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1401731136 is about 37439.6999987981. The cubic root of 1401731136 is about 1119.1498480406.

The spelling of 1401731136 in words is "one billion, four hundred one million, seven hundred thirty-one thousand, one hundred thirty-six".