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1445680803840 = 212357131931439
BaseRepresentation
bin10101000010011001010…
…010100111000000000000
312010012112222111001211120
4111002121102213000000
5142141223241210330
63024045300512240
7206306214036120
oct25023122470000
95105488431746
101445680803840
11508123141339
121b42236ab680
13a6433895b10
144dd85456c80
152791372cc10
hex150994a7000

1445680803840 has 1664 divisors, whose sum is σ = 6200102092800. Its totient is φ = 279010344960.

The previous prime is 1445680803803. The next prime is 1445680803893. The reversal of 1445680803840 is 483080865441.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3293122341 + ... + 3293122779.

Almost surely, 21445680803840 is an apocalyptic number.

1445680803840 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 1445680803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100051046400).

1445680803840 is an abundant number, since it is smaller than the sum of its proper divisors (4754421288960).

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

1445680803840 is a wasteful number, since it uses less digits than its factorization.

1445680803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 1445680803840 in words is "one trillion, four hundred forty-five billion, six hundred eighty million, eight hundred three thousand, eight hundred forty".