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242443233242540 = 2251119232521772761
BaseRepresentation
bin110111001000000000110110…
…110010111010110110101100
31011210102100100202221120021222
4313020000312302322312230
5223234142220202230130
62215344514521242512
7102031642221313331
oct6710006662726654
91153370322846258
10242443233242540
1170282663757610
1223237158333438
13a5383b65b8c55
1443c245a8bc988
151d06788e31ce5
hexdc8036cbadac

242443233242540 has 96 divisors (see below), whose sum is σ = 610067266583040. Its totient is φ = 79889761036800.

The previous prime is 242443233242527. The next prime is 242443233242633. The reversal of 242443233242540 is 45242332344242.

242443233242540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 242443233242491 and 242443233242500.

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, 1260790241 + ... + 1260982520.

It is an arithmetic number, because the mean of its divisors is an integer number (6354867360240).

Almost surely, 2242443233242540 is an apocalyptic number.

242443233242540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242443233242540 is an abundant number, since it is smaller than the sum of its proper divisors (367624033340500).

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

242443233242540 is a wasteful number, since it uses less digits than its factorization.

242443233242540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521772823 (or 2521772821 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 44.

Adding to 242443233242540 its reverse (45242332344242), we get a palindrome (287685565586782).

The spelling of 242443233242540 in words is "two hundred forty-two trillion, four hundred forty-three billion, two hundred thirty-three million, two hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 190 209 220 230 253 380 418 437 460 506 836 874 1012 1045 1265 1748 2090 2185 2530 4180 4370 4807 5060 8740 9614 19228 24035 48070 96140 2521772761 5043545522 10087091044 12608863805 25217727610 27739500371 47913682459 50435455220 55479000742 58000773503 95827364918 110958001484 116001547006 138697501855 191654729836 232003094012 239568412295 277395003710 290003867515 479136824590 527050507049 554790007420 580007735030 638008508533 958273649180 1054101014098 1102014696557 1160015470060 1276017017066 2108202028196 2204029393114 2552034034132 2635252535245 3190042542665 4408058786228 5270505070490 5510073482785 6380085085330 10541010140980 11020146965570 12122161662127 12760170170660 22040293931140 24244323324254 48488646648508 60610808310635 121221616621270 242443233242540