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1439971023680 = 26574119381239
BaseRepresentation
bin10100111101000100111…
…101100001101101000000
312002122211001112011221022
4110331010331201231000
5142043030040224210
63021302532245012
7206014552514540
oct24750475415500
95078731464838
101439971023680
11505763114a62
121b30ab470768
13a5a33982387
144d9a2dd3320
15276cc321155
hex14f44f61b40

1439971023680 has 224 divisors, whose sum is σ = 4035207697920. Its totient is φ = 479161221120.

The previous prime is 1439971023661. The next prime is 1439971023697. The reversal of 1439971023680 is 863201799341.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17684501 + ... + 17765739.

It is an arithmetic number, because the mean of its divisors is an integer number (18014320080).

Almost surely, 21439971023680 is an apocalyptic number.

1439971023680 is a gapful number since it is divisible by the number (10) 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 1439971023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017603848960).

1439971023680 is an abundant number, since it is smaller than the sum of its proper divisors (2595236674240).

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

1439971023680 is a wasteful number, since it uses less digits than its factorization.

1439971023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81497 (or 81487 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 1439971023680 in words is "one trillion, four hundred thirty-nine billion, nine hundred seventy-one million, twenty-three thousand, six hundred eighty".