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1490429445120 = 21034571124243
BaseRepresentation
bin10101101100000100100…
…001001000010000000000
312021111001120221120120000
4111230010201020100000
5143404344414220440
63100405511320000
7212452142153130
oct25540441102000
95244046846500
101490429445120
115250a6625900
12200a31980000
13aa7156a9c95
14521cc574ac0
1528b82069730
hex15b04848400

1490429445120 has 1320 divisors, whose sum is σ = 6710756281152. Its totient is φ = 309626634240.

The previous prime is 1490429445119. The next prime is 1490429445139. The reversal of 1490429445120 is 215449240941.

1490429445120 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 42 + 94 + 4 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-2 number, since 2×14904294451202 (a number of 25 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 351265719 + ... + 351269961.

Almost surely, 21490429445120 is an apocalyptic number.

1490429445120 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 1490429445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355378140576).

1490429445120 is an abundant number, since it is smaller than the sum of its proper divisors (5220326836032).

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

1490429445120 is a wasteful number, since it uses less digits than its factorization.

1490429445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1490429445120 in words is "one trillion, four hundred ninety billion, four hundred twenty-nine million, four hundred forty-five thousand, one hundred twenty".