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253533316140 = 22355134012873
BaseRepresentation
bin1110110000011111000…
…0110110010000101100
3220020102011122220200000
43230013300312100230
513123214012104030
6312245510504300
724213535425666
oct3540760662054
9806364586600
10253533316140
1198582a46a35
1241177965090
131aba60c19c0
14c3b1ba3536
1568dd107860
hex3b07c3642c

253533316140 has 144 divisors (see below), whose sum is σ = 858883447968. Its totient is φ = 62408185344.

The previous prime is 253533316103. The next prime is 253533316159. The reversal of 253533316140 is 41613335352.

253533316140 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 3 + 3 + 31 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253533316095 and 253533316104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943257 + ... + 2069616.

Almost surely, 2253533316140 is an apocalyptic number.

253533316140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253533316140 is an abundant number, since it is smaller than the sum of its proper divisors (605350131828).

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

253533316140 is a wasteful number, since it uses less digits than its factorization.

253533316140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012910 (or 4012896 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 253533316140 in words is "two hundred fifty-three billion, five hundred thirty-three million, three hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 21060 31590 63180 4012873 8025746 12038619 16051492 20064365 24077238 36115857 40128730 48154476 52167349 60193095 72231714 80257460 104334698 108347571 120386190 144463428 156502047 180579285 208669396 216695142 240772380 260836745 313004094 325042713 361158570 433390284 469506141 521673490 541737855 626008188 650085426 722317140 782510235 939012282 975128139 1043346980 1083475710 1300170852 1408518423 1565020470 1625213565 1878024564 1950256278 2166951420 2347530705 2817036846 3130040940 3250427130 3900512556 4225555269 4695061410 4875640695 5634073692 6500854260 7042592115 8451110538 9390122820 9751281390 12676665807 14085184230 16902221076 19502562780 21127776345 25353331614 28170368460 42255552690 50706663228 63383329035 84511105380 126766658070 253533316140