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14701048992 = 2538721429
BaseRepresentation
bin11011011000100000…
…00011010010100000
31101221112121200000000
431230100003102200
5220101432031432
610430434300000
71030206566100
oct155420032240
941845550000
1014701048992
1162643a4773
122a23427600
131503927876
149d6645200
155b096157c
hex36c4034a0

14701048992 has 324 divisors, whose sum is σ = 50534814330. Its totient is φ = 4197360384.

The previous prime is 14701048991. The next prime is 14701049029. The reversal of 14701048992 is 29984010741.

It is a happy number.

14701048992 is a `hidden beast` number, since 1 + 4 + 70 + 10 + 489 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14449001616 + 252047376 = 120204^2 + 15876^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×147010489922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14701048991) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10286934 + ... + 10288362.

Almost surely, 214701048992 is an apocalyptic number.

14701048992 is a gapful number since it is divisible by the number (12) 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 14701048992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25267407165).

14701048992 is an abundant number, since it is smaller than the sum of its proper divisors (35833765338).

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

14701048992 is an frugal number, since it uses more digits than its factorization.

14701048992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 14701048992 in words is "fourteen billion, seven hundred one million, forty-eight thousand, nine hundred ninety-two".