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253112053040 = 245711283145193
BaseRepresentation
bin1110101110111010100…
…1110110110100110000
3220012022210222112022222
43223232221312310300
513121333141144130
6312140021420212
724200231644460
oct3535651666460
9805283875288
10253112053040
1198387178810
124107a86a668
131ab39a470b2
14c371c65ba0
1568b6143ce5
hex3aeea76d30

253112053040 has 160 divisors (see below), whose sum is σ = 736293874176. Its totient is φ = 78612756480.

The previous prime is 253112053027. The next prime is 253112053067. The reversal of 253112053040 is 40350211352.

It is a happy number.

It is a super-2 number, since 2×2531120530402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1670684 + ... + 1815876.

Almost surely, 2253112053040 is an apocalyptic number.

253112053040 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 253112053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368146937088).

253112053040 is an abundant number, since it is smaller than the sum of its proper divisors (483181821136).

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

253112053040 is a wasteful number, since it uses less digits than its factorization.

253112053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145507 (or 145501 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 253112053040 its reverse (40350211352), we get a palindrome (293462264392).

The spelling of 253112053040 in words is "two hundred fifty-three billion, one hundred twelve million, fifty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 283 308 385 440 560 566 616 770 880 1132 1232 1415 1540 1981 2264 2830 3080 3113 3962 4528 5660 6160 6226 7924 9905 11320 12452 15565 15848 19810 21791 22640 24904 31130 31696 39620 43582 49808 62260 79240 87164 108955 124520 145193 158480 174328 217910 249040 290386 348656 435820 580772 725965 871640 1016351 1161544 1451930 1597123 1743280 2032702 2323088 2903860 3194246 4065404 5081755 5807720 6388492 7985615 8130808 10163510 11179861 11615440 12776984 15971230 16261616 20327020 22359722 25553968 31942460 40654040 41089619 44719444 55899305 63884920 81308080 82179238 89438888 111798610 127769840 164358476 178877776 205448095 223597220 287627333 328716952 410896190 447194440 451985809 575254666 657433904 821792380 894388880 903971618 1150509332 1438136665 1643584760 1807943236 2259929045 2301018664 2876273330 3163900663 3287169520 3615886472 4519858090 4602037328 5752546660 6327801326 7231772944 9039716180 11505093320 12655602652 15819503315 18079432360 23010186640 25311205304 31639006630 36158864720 50622410608 63278013260 126556026520 253112053040