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490074415940 = 2251710114271241
BaseRepresentation
bin1110010000110101011…
…01100010001101000100
31201211222010110210121002
413020122231202031010
531012133022302230
61013045335312432
750256333542444
oct7103255421504
91654863423532
10490074415940
1117992626026a
127ab90b1b718
13372a19b7105
1419a10d12124
15cb34574545
hex721ab62344

490074415940 has 48 divisors (see below), whose sum is σ = 1100484013104. Its totient is φ = 182671872000.

The previous prime is 490074415933. The next prime is 490074415949. The reversal of 490074415940 is 49514470094.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2188929796 + 487885486144 = 46786^2 + 698488^2 .

It is not an unprimeable number, because it can be changed into a prime (490074415949) 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 15 ways as a sum of consecutive naturals, for example, 7101281 + ... + 7169960.

It is an arithmetic number, because the mean of its divisors is an integer number (22926750273).

Almost surely, 2490074415940 is an apocalyptic number.

It is an amenable number.

490074415940 is an abundant number, since it is smaller than the sum of its proper divisors (610409597164).

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

490074415940 is a wasteful number, since it uses less digits than its factorization.

490074415940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271368 (or 14271366 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 490074415940 in words is "four hundred ninety billion, seventy-four million, four hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 6868 8585 17170 34340 14271241 28542482 57084964 71356205 142712410 242611097 285424820 485222194 970444388 1213055485 1441395341 2426110970 2882790682 4852221940 5765581364 7206976705 14413953410 24503720797 28827906820 49007441594 98014883188 122518603985 245037207970 490074415940