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1419080131392 = 263721119312751
BaseRepresentation
bin10100101001100111110…
…001000110001101000000
312000122220010121220012220
4110221213301012031000
5141222234003201032
63003525540051040
7204345062044200
oct24514761061500
95018803556186
101419080131392
114a7912814420
121ab03b093a80
13a3a8484c751
144c980682400
1526da827712c
hex14a67c46340

1419080131392 has 1008 divisors, whose sum is σ = 5189397027840. Its totient is φ = 337478400000.

The previous prime is 1419080131369. The next prime is 1419080131393. The reversal of 1419080131392 is 2931310809141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1419080131393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1889587017 + ... + 1889587767.

Almost surely, 21419080131392 is an apocalyptic number.

1419080131392 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 1419080131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594698513920).

1419080131392 is an abundant number, since it is smaller than the sum of its proper divisors (3770316896448).

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

1419080131392 is a wasteful number, since it uses less digits than its factorization.

1419080131392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 1419080131392 in words is "one trillion, four hundred nineteen billion, eighty million, one hundred thirty-one thousand, three hundred ninety-two".