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1490853047040 = 28335729417173
BaseRepresentation
bin10101101100011101110…
…001000010101100000000
312021112011010000210011000
4111230131301002230000
5143411231340001130
63100515522452000
7212465504545140
oct25543561025400
95245133023130
101490853047040
115252a3751235
12200b2b804000
13aa7823932c6
145222c920920
1528ba9341260
hex15b1dc42b00

1490853047040 has 2304 divisors, whose sum is σ = 6586533273600. Its totient is φ = 312134860800.

The previous prime is 1490853047039. The next prime is 1490853047051. The reversal of 1490853047040 is 407403580941.

1490853047040 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 8 + 530 + 4 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 20422644444 + ... + 20422644516.

It is an arithmetic number, because the mean of its divisors is an integer number (2858738400).

Almost surely, 21490853047040 is an apocalyptic number.

1490853047040 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 1490853047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293266636800).

1490853047040 is an abundant number, since it is smaller than the sum of its proper divisors (5095680226560).

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

1490853047040 is a wasteful number, since it uses less digits than its factorization.

1490853047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1490853047040 in words is "one trillion, four hundred ninety billion, eight hundred fifty-three million, forty-seven thousand, forty".