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1003870397440 = 21054173109601
BaseRepresentation
bin11101001101110110101…
…01101010010000000000
310112222011110020222122101
432212323111222100000
5112421411310204230
62045101030320144
7132345562405411
oct16467325522000
93488143228571
101003870397440
11357814739869
121426821b9054
13738840b0641
14368324a1808
151b1a643aaca
hexe9bb56a400

1003870397440 has 352 divisors, whose sum is σ = 2527780036320. Its totient is φ = 382205952000.

The previous prime is 1003870397423. The next prime is 1003870397477. The reversal of 1003870397440 is 447930783001.

It can be written as a sum of positive squares in 16 ways, for example, as 169322374144 + 834548023296 = 411488^2 + 913536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1670333140 + ... + 1670333740.

It is an arithmetic number, because the mean of its divisors is an integer number (7181193285).

Almost surely, 21003870397440 is an apocalyptic number.

1003870397440 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 1003870397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263890018160).

1003870397440 is an abundant number, since it is smaller than the sum of its proper divisors (1523909638880).

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

1003870397440 is a wasteful number, since it uses less digits than its factorization.

1003870397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 1003870397440 in words is "one trillion, three billion, eight hundred seventy million, three hundred ninety-seven thousand, four hundred forty".