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242354013023540 = 2251119177073274379
BaseRepresentation
bin110111000110101101110000…
…110110110010110100110100
31011210002211001212100211121102
4313012231300312302310310
5223231212004313223130
62215235521354305232
7102022333241052635
oct6706556066626464
91153084055324542
10242354013023540
117024883a217530
12232219b8728218
13a52cb681ba862
1443bbdd53a588c
151d042b6286645
hexdc6b70db2d34

242354013023540 has 96 divisors (see below), whose sum is σ = 584465828083200. Its totient is φ = 83485637089920.

The previous prime is 242354013023537. The next prime is 242354013023557. The reversal of 242354013023540 is 45320310453242.

It is a super-2 number, since 2×2423540130235402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 242354013023494 and 242354013023503.

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, 72378071 + ... + 75652449.

It is an arithmetic number, because the mean of its divisors is an integer number (6088185709200).

Almost surely, 2242354013023540 is an apocalyptic number.

242354013023540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242354013023540 is an abundant number, since it is smaller than the sum of its proper divisors (342111815059660).

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

242354013023540 is a wasteful number, since it uses less digits than its factorization.

242354013023540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292125 (or 3292123 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 38.

Adding to 242354013023540 its reverse (45320310453242), we get a palindrome (287674323476782).

The spelling of 242354013023540 in words is "two hundred forty-two trillion, three hundred fifty-four billion, thirteen million, twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 17707 35414 70828 88535 177070 194777 336433 354140 389554 672866 779108 973885 1345732 1682165 1947770 3274379 3364330 3700763 3895540 6548758 6728660 7401526 13097516 14803052 16371895 18503815 32743790 36018169 37007630 62213201 65487580 72036338 74015260 124426402 144072676 180090845 248852804 311066005 360181690 622132010 684345211 720363380 1244264020 1368690422 2737380844 3421726055 6843452110 13686904220 57979428953 115958857906 231917715812 289897144765 579794289530 637773718483 1101609150107 1159588579060 1275547436966 2203218300214 2551094873932 3188868592415 4406436600428 5508045750535 6377737184830 11016091501070 12117700651177 12755474369660 22032183002140 24235401302354 48470802604708 60588503255885 121177006511770 242354013023540