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1390630644144 = 24337613757991
BaseRepresentation
bin10100001111001000000…
…010111010100110110000
311220221110102220012111000
4110033020002322212300
5140241002421103034
62542502532522000
7202320060304530
oct24171002724660
94827412805430
101390630644144
11496843821595
121a561b480300
13a119c784521
144b4421294c0
1526290824599
hex143c80ba9b0

1390630644144 has 320 divisors, whose sum is σ = 4579951943680. Its totient is φ = 395751121920.

The previous prime is 1390630644097. The next prime is 1390630644163. The reversal of 1390630644144 is 4414460360931.

1390630644144 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 630 + 6 + 4 + 4 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×13906306441442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1390630644144.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1403259489 + ... + 1403260479.

It is an arithmetic number, because the mean of its divisors is an integer number (14312349824).

Almost surely, 21390630644144 is an apocalyptic number.

1390630644144 is a gapful number since it is divisible by the number (14) 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 1390630644144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289975971840).

1390630644144 is an abundant number, since it is smaller than the sum of its proper divisors (3189321299536).

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

1390630644144 is a wasteful number, since it uses less digits than its factorization.

1390630644144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1390630644144 in words is "one trillion, three hundred ninety billion, six hundred thirty million, six hundred forty-four thousand, one hundred forty-four".