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1490359073940 = 22345112171923539
BaseRepresentation
bin10101101100000000010…
…100101011110010010100
312021110212200112100110000
4111230000110223302110
5143404223410331230
63100354515131300
7212450326052262
oct25540024536224
95243780470400
101490359073940
1152506a930a00
12200a122a3b30
13aa703c3b529
14521c3097432
1528b7acb8b60
hex15b0052bc94

1490359073940 has 720 divisors, whose sum is σ = 5727897806400. Its totient is φ = 322135418880.

The previous prime is 1490359073897. The next prime is 1490359073941. The reversal of 1490359073940 is 493709530941.

It is a happy number.

1490359073940 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 3 + 590 + 7 + 3 + 9 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1490359073941) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 63302691 + ... + 63326229.

It is an arithmetic number, because the mean of its divisors is an integer number (7955413620).

Almost surely, 21490359073940 is an apocalyptic number.

1490359073940 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 1490359073940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863948903200).

1490359073940 is an abundant number, since it is smaller than the sum of its proper divisors (4237538732460).

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

1490359073940 is a wasteful number, since it uses less digits than its factorization.

1490359073940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23618 (or 23596 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 1490359073940 in words is "one trillion, four hundred ninety billion, three hundred fifty-nine million, seventy-three thousand, nine hundred forty".