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1431996192 = 253311236551
BaseRepresentation
bin101010101011010…
…1000011100100000
310200210112221111000
41111112220130200
510413042334232
6354032352000
750325524004
oct12526503440
93623487430
101431996192
11675362a30
1233b6a5600
1319a8a2233
14d8280704
1585ab527c
hex555a8720

1431996192 has 192 divisors, whose sum is σ = 4755179520. Its totient is φ = 415008000.

The previous prime is 1431996179. The next prime is 1431996193. The reversal of 1431996192 is 2916991341.

1431996192 is a `hidden beast` number, since 14 + 3 + 19 + 9 + 619 + 2 = 666.

It is a super-2 number, since 2×14319961922 = 4101226187805001728, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1431996193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215317 + ... + 221867.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 21431996192 is an apocalyptic number.

1431996192 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 1431996192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377589760).

1431996192 is an abundant number, since it is smaller than the sum of its proper divisors (3323183328).

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

1431996192 is a wasteful number, since it uses less digits than its factorization.

1431996192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6590 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 1431996192 is about 37841.7255420521. The cubic root of 1431996192 is about 1127.1471597971.

The spelling of 1431996192 in words is "one billion, four hundred thirty-one million, nine hundred ninety-six thousand, one hundred ninety-two".