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290938022432 = 259729832
BaseRepresentation
bin1000011101111010100…
…00011110101000100000
31000210221222012212111022
410032331100132220200
514231320113204212
6341353255305012
730006500246561
oct4167520365040
91023858185438
10290938022432
11102427a24442
124847667b168
132158758b4c5
141011d7d6168
15787bd3d772
hex43bd41ea20

290938022432 has 54 divisors (see below), whose sum is σ = 579339457893. Its totient is φ = 143822871552.

The previous prime is 290938022399. The next prime is 290938022471. The reversal of 290938022432 is 234220839092.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 290180451856 + 757570576 = 538684^2 + 27524^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=381404.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 295969013 + ... + 295969995.

Almost surely, 2290938022432 is an apocalyptic number.

It is an amenable number.

290938022432 is a deficient number, since it is larger than the sum of its proper divisors (288401435461).

290938022432 is an frugal number, since it uses more digits than its factorization.

290938022432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 290938022432 in words is "two hundred ninety billion, nine hundred thirty-eight million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 97 194 388 776 983 1552 1966 3104 3932 7864 9409 15728 18818 31456 37636 75272 95351 150544 190702 301088 381404 762808 966289 1525616 1932578 3051232 3865156 7730312 9249047 15460624 18498094 30921248 36996188 73992376 93730033 147984752 187460066 295969504 374920132 749840264 1499680528 2999361056 9091813201 18183626402 36367252804 72734505608 145469011216 290938022432