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1401117696 = 210331117271
BaseRepresentation
bin101001110000011…
…0101110000000000
310121122110011011000
41103200311300000
510332141231241
6351010452000
746502206146
oct12340656000
93548404130
101401117696
11659992510
12331294000
13194380434
14d4123596
1583015eb6
hex53835c00

1401117696 has 352 divisors, whose sum is σ = 4810613760. Its totient is φ = 398131200.

The previous prime is 1401117691. The next prime is 1401117727. The reversal of 1401117696 is 6967111041.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1401117696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401117691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5170041 + ... + 5170311.

Almost surely, 21401117696 is an apocalyptic number.

1401117696 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 1401117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405306880).

1401117696 is an abundant number, since it is smaller than the sum of its proper divisors (3409496064).

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

1401117696 is a wasteful number, since it uses less digits than its factorization.

1401117696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1401117696 is about 37431.5067289576. The cubic root of 1401117696 is about 1118.9865662627.

The spelling of 1401117696 in words is "one billion, four hundred one million, one hundred seventeen thousand, six hundred ninety-six".