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10390374973440 = 2183457113141
BaseRepresentation
bin1001011100110011001010…
…0111000000000000000000
31100210022101002121121120000
42113030302213000000000
52330213441443122230
634033134455320000
72121452115022350
oct227146247000000
940708332547500
1010390374973440
113346595883510
1211b9883680000
135a4a67697677
1427cc7ac9ab60
1513042684bb60
hex973329c0000

10390374973440 has 3040 divisors, whose sum is σ = 49110709874688. Its totient is φ = 2038431744000.

The previous prime is 10390374973367. The next prime is 10390374973483. The reversal of 10390374973440 is 4437947309301.

10390374973440 is a `hidden beast` number, since 1 + 0 + 3 + 90 + 3 + 7 + 49 + 73 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 253423779820 + ... + 253423779860.

Almost surely, 210390374973440 is an apocalyptic number.

10390374973440 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 10390374973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24555354937344).

10390374973440 is an abundant number, since it is smaller than the sum of its proper divisors (38720334901248).

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

10390374973440 is an frugal number, since it uses more digits than its factorization.

10390374973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 10390374973440 in words is "ten trillion, three hundred ninety billion, three hundred seventy-four million, nine hundred seventy-three thousand, four hundred forty".