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241535423425140 = 2232513599172320979
BaseRepresentation
bin110110111010110011011001…
…000111010010101001110100
31011200012120010221121122122100
4312322303121013102221310
5223124304021344101030
62213411501450302100
7101606233646221005
oct6672633107225164
91150176127548570
10241535423425140
116aa62663787379
122310b224727930
13a4a0900b17620
14439053c1b71ac
151cdcd55e75360
hexdbacd91d2a74

241535423425140 has 144 divisors (see below), whose sum is σ = 790332942672000. Its totient is φ = 59355616230144.

The previous prime is 241535423425111. The next prime is 241535423425147. The reversal of 241535423425140 is 41524324535142.

241535423425140 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 354 + 2 + 3 + 4 + 251 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241535423425147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84758830 + ... + 87562149.

It is an arithmetic number, because the mean of its divisors is an integer number (5488423213000).

Almost surely, 2241535423425140 is an apocalyptic number.

241535423425140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241535423425140 is an abundant number, since it is smaller than the sum of its proper divisors (548797519246860).

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

241535423425140 is a wasteful number, since it uses less digits than its factorization.

241535423425140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172321606 (or 172321601 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 241535423425140 in words is "two hundred forty-one trillion, five hundred thirty-five billion, four hundred twenty-three million, four hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 599 780 1170 1198 1797 2340 2396 2995 3594 5391 5990 7188 7787 8985 10782 11980 15574 17970 21564 23361 26955 31148 35940 38935 46722 53910 70083 77870 93444 107820 116805 140166 155740 233610 280332 350415 467220 700830 1401660 172320979 344641958 516962937 689283916 861604895 1033925874 1550888811 1723209790 2067851748 2240172727 2584814685 3101777622 3446419580 4480345454 5169629370 6203555244 6720518181 7754444055 8960690908 10339258740 11200863635 13441036362 15508888110 20161554543 22401727270 26882072724 31017776220 33602590905 40323109086 44803454540 67205181810 80646218172 100807772715 103220266421 134410363620 201615545430 206440532842 309660799263 403231090860 412881065684 516101332105 619321598526 928982397789 1032202664210 1238643197052 1341863463473 1548303996315 1857964795578 2064405328420 2683726926946 3096607992630 3715929591156 4025590390419 4644911988945 5367453853892 6193215985260 6709317317365 8051180780838 9289823977890 12076771171257 13418634634730 16102361561676 18579647955780 20127951952095 24153542342514 26837269269460 40255903904190 48307084685028 60383855856285 80511807808380 120767711712570 241535423425140