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490214154240 = 213325171923179
BaseRepresentation
bin1110010001000110000…
…10100110000000000000
31201212022212102020111200
413020203002212000000
531012424310413430
61013111250341200
750262651362646
oct7104302460000
91655285366450
10490214154240
11179998123768
127b00b88a800
13372c49322b5
1419a256c9196
15cb41978460
hex72230a6000

490214154240 has 1344 divisors, whose sum is σ = 1987349644800. Its totient is φ = 110868037632.

The previous prime is 490214154229. The next prime is 490214154293. The reversal of 490214154240 is 42451412094.

490214154240 is a `hidden beast` number, since 4 + 9 + 0 + 214 + 15 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 490214154195 and 490214154204.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2738626471 + ... + 2738626649.

Almost surely, 2490214154240 is an apocalyptic number.

490214154240 is a gapful number since it is divisible by the number (40) 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 490214154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993674822400).

490214154240 is an abundant number, since it is smaller than the sum of its proper divisors (1497135490560).

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

490214154240 is a wasteful number, since it uses less digits than its factorization.

490214154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 490214154240 in words is "four hundred ninety billion, two hundred fourteen million, one hundred fifty-four thousand, two hundred forty".