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253342565016240 = 24357380339652681
BaseRepresentation
bin111001100110100111101001…
…100110000010001010110000
31020020000022102221120111012110
4321212213221212002022300
5231201231033121004430
62254451545003325320
7104235252634633560
oct7146475146021260
91206008387514173
10253342565016240
11737a4a84363087
12244b75a0520840
13ab4914193759b
14467bbba36ada0
151e4504c8a87b0
hexe669e99822b0

253342565016240 has 160 divisors (see below), whose sum is σ = 897792551456256. Its totient is φ = 57891643914240.

The previous prime is 253342565016199. The next prime is 253342565016269. The reversal of 253342565016240 is 42610565243352.

It is a super-2 number, since 2×2533425650162402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 253342565016240.

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, 13437301 + ... + 26215380.

Almost surely, 2253342565016240 is an apocalyptic number.

253342565016240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253342565016240 is an abundant number, since it is smaller than the sum of its proper divisors (644449986440016).

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

253342565016240 is a wasteful number, since it uses less digits than its factorization.

253342565016240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39656507 (or 39656501 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 253342565016240 in words is "two hundred fifty-three trillion, three hundred forty-two billion, five hundred sixty-five million, sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 3803 7606 11409 15212 19015 22818 26621 30424 38030 45636 53242 57045 60848 76060 79863 91272 106484 114090 133105 152120 159726 182544 212968 228180 266210 304240 319452 399315 425936 456360 532420 638904 798630 912720 1064840 1277808 1597260 2129680 3194520 6389040 39652681 79305362 118958043 158610724 198263405 237916086 277568767 317221448 396526810 475832172 555137534 594790215 634442896 793053620 832706301 951664344 1110275068 1189580430 1387843835 1586107240 1665412602 1903328688 2220550136 2379160860 2775687670 3172214480 3330825204 4163531505 4441100272 4758321720 5551375340 6661650408 8327063010 9516643440 11102750680 13323300816 16654126020 22205501360 33308252040 66616504080 150799145843 301598291686 452397437529 603196583372 753995729215 904794875058 1055594020901 1206393166744 1507991458430 1809589750116 2111188041802 2261987187645 2412786333488 3015982916860 3166782062703 3619179500232 4222376083604 4523974375290 5277970104505 6031965833720 6333564125406 7238359000464 8444752167208 9047948750580 10555940209010 12063931667440 12667128250812 15833910313515 16889504334416 18095897501160 21111880418020 25334256501624 31667820627030 36191795002320 42223760836040 50668513003248 63335641254060 84447521672080 126671282508120 253342565016240