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250113055140 = 2232513121388117
BaseRepresentation
bin1110100011101111100…
…1100101100110100100
3212220120210211122121200
43220323321211212210
513044212420231030
6310522250442500
724033014614404
oct3507371454644
9786523748550
10250113055140
1197088332253
1240582433430
131a77c623a20
14c169840804
15678cbebd60
hex3a3be659a4

250113055140 has 144 divisors (see below), whose sum is σ = 817718826288. Its totient is φ = 61514836992.

The previous prime is 250113055099. The next prime is 250113055141. The reversal of 250113055140 is 41550311052.

250113055140 is a `hidden beast` number, since 2 + 501 + 13 + 0 + 5 + 5 + 140 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22286309796 + 227826745344 = 149286^2 + 477312^2 .

It is not an unprimeable number, because it can be changed into a prime (250113055141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2794362 + ... + 2882478.

Almost surely, 2250113055140 is an apocalyptic number.

250113055140 is a gapful number since it is divisible by the number (20) 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 250113055140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408859413144).

250113055140 is an abundant number, since it is smaller than the sum of its proper divisors (567605771148).

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

250113055140 is a wasteful number, since it uses less digits than its factorization.

250113055140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89358 (or 89353 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 250113055140 its reverse (41550311052), we get a palindrome (291663366192).

The spelling of 250113055140 in words is "two hundred fifty billion, one hundred thirteen million, fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1213 2340 2426 3639 4852 6065 7278 10917 12130 14556 15769 18195 21834 24260 31538 36390 43668 47307 54585 63076 72780 78845 88117 94614 109170 141921 157690 176234 189228 218340 236535 264351 283842 315380 352468 440585 473070 528702 567684 709605 793053 881170 946140 1057404 1145521 1321755 1419210 1586106 1762340 2291042 2643510 2838420 3172212 3436563 3965265 4582084 5287020 5727605 6873126 7930530 10309689 11455210 13746252 15861060 17182815 20619378 22910420 34365630 41238756 51548445 68731260 103096890 106885921 206193780 213771842 320657763 427543684 534429605 641315526 961973289 1068859210 1282631052 1389516973 1603288815 1923946578 2137718420 2779033946 3206577630 3847893156 4168550919 4809866445 5558067892 6413155260 6947584865 8337101838 9619732890 12505652757 13895169730 16674203676 19239465780 20842754595 25011305514 27790339460 41685509190 50022611028 62528263785 83371018380 125056527570 250113055140