Search a number
-
+
253155633140 = 225531993973023
BaseRepresentation
bin1110101111000101000…
…0000110011111110100
3220012102211222121222202
43223301100012133310
513121430320230030
6312144215444032
724201301243244
oct3536120063764
9805384877882
10253155633140
11983a9834123
1241091386618
131ab45a95337
14c37796bb24
1568b9da1745
hex3af14067f4

253155633140 has 96 divisors (see below), whose sum is σ = 545931187200. Its totient is φ = 98570774016.

The previous prime is 253155633131. The next prime is 253155633209. The reversal of 253155633140 is 41336551352.

It is a junction number, because it is equal to n+sod(n) for n = 253155633094 and 253155633103.

It is a congruent number.

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, 83741669 + ... + 83744691.

It is an arithmetic number, because the mean of its divisors is an integer number (5686783200).

Almost surely, 2253155633140 is an apocalyptic number.

253155633140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253155633140 is an abundant number, since it is smaller than the sum of its proper divisors (292775554060).

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

253155633140 is a wasteful number, since it uses less digits than its factorization.

253155633140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 38.

The spelling of 253155633140 in words is "two hundred fifty-three billion, one hundred fifty-five million, six hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 199 212 265 397 398 530 794 796 995 1060 1588 1985 1990 3023 3970 3980 6046 7940 10547 12092 15115 21041 21094 30230 42082 42188 52735 60460 79003 84164 105205 105470 158006 160219 210410 210940 316012 320438 395015 420820 601577 640876 790030 801095 1200131 1203154 1580060 1602190 2400262 2406308 3007885 3204380 4187159 4800524 6000655 6015770 8374318 12001310 12031540 16748636 20935795 24002620 31883581 41871590 63606943 63767162 83743180 127213886 127534324 159417905 238826069 254427772 318034715 318835810 477652138 636069430 637671620 955304276 1194130345 1272138860 2388260690 4776521380 12657781657 25315563314 50631126628 63288908285 126577816570 253155633140