Search a number
-
+
113506643125240 = 235711131291273967
BaseRepresentation
bin11001110011101111010011…
…001001001010001111111000
3112212220010111010020111110021
4121303233103021022033320
5104334143101120001430
61041224122035500224
732623404300343351
oct3163572311121770
9485803433214407
10113506643125240
1133191995a28712
1210892421157674
134b44827332961
142005a7243ad28
15d1c87cdad07a
hex673bd324a3f8

113506643125240 has 128 divisors (see below), whose sum is σ = 261482248120320. Its totient is φ = 44332520601600.

The previous prime is 113506643125189. The next prime is 113506643125261. The reversal of 113506643125240 is 42521346605311.

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, 414170737 + ... + 414444703.

It is an arithmetic number, because the mean of its divisors is an integer number (2042830063440).

Almost surely, 2113506643125240 is an apocalyptic number.

113506643125240 is a gapful number since it is divisible by the number (10) 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 113506643125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130741124060160).

113506643125240 is an abundant number, since it is smaller than the sum of its proper divisors (147975604995080).

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

113506643125240 is a wasteful number, since it uses less digits than its factorization.

113506643125240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275453 (or 275449 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 113506643125240 in words is "one hundred thirteen trillion, five hundred six billion, six hundred forty-three million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 113 142 226 284 355 452 565 568 710 904 1130 1291 1420 2260 2582 2840 4520 5164 6455 8023 10328 12910 16046 25820 32092 40115 51640 64184 80230 91661 145883 160460 183322 273967 291766 320920 366644 458305 547934 583532 729415 733288 916610 1095868 1167064 1369835 1458830 1833220 2191736 2739670 2917660 3666440 5479340 5835320 10357693 10958680 19451657 20715386 30958271 38903314 41430772 51788465 61916542 77806628 82861544 97258285 103576930 123833084 154791355 155613256 194516570 207153860 247666168 309582710 353691397 389033140 414307720 619165420 707382794 778066280 1238330840 1414765588 1768456985 2198037241 2829531176 3536913970 4396074482 7073827940 8792148964 10990186205 14147655880 17584297928 21980372410 25112089187 39967127861 43960744820 50224178374 79934255722 87921489640 100448356748 125560445935 159868511444 199835639305 200896713496 251120891870 319737022888 399671278610 502241783740 799342557220 1004483567480 1598685114440 2837666078131 5675332156262 11350664312524 14188330390655 22701328625048 28376660781310 56753321562620 113506643125240