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1390106736144 = 243371676594177
BaseRepresentation
bin10100001110101000110…
…100010111011000010000
311220220002221001220211000
4110032220310113120100
5140233414311024034
62542334535422000
7202301066204130
oct24165064273020
94826087056730
101390106736144
114965a5015775
121a54b3b24900
13a111807b2a9
144b3d270cac0
152625e837599
hex143a8d17610

1390106736144 has 320 divisors, whose sum is σ = 4595505868800. Its totient is φ = 394101614592.

The previous prime is 1390106736119. The next prime is 1390106736191. The reversal of 1390106736144 is 4416376010931.

1390106736144 is a `hidden beast` number, since 13 + 9 + 0 + 10 + 6 + 7 + 3 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1390106736144.

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, 332798184 + ... + 332802360.

It is an arithmetic number, because the mean of its divisors is an integer number (14360955840).

Almost surely, 21390106736144 is an apocalyptic number.

1390106736144 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 1390106736144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297752934400).

1390106736144 is an abundant number, since it is smaller than the sum of its proper divisors (3205399132656).

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

1390106736144 is a wasteful number, since it uses less digits than its factorization.

1390106736144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1390106736144 in words is "one trillion, three hundred ninety billion, one hundred six million, seven hundred thirty-six thousand, one hundred forty-four".