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242403241440 = 25351368136913
BaseRepresentation
bin1110000111000001011…
…0111110110111100000
3212011200111110112111010
43201300112332313200
512432420212211230
6303205234420520
723340656361423
oct3416026766740
9764614415433
10242403241440
1193891346098
123ab90431740
1319b21253899
14ba379139ba
15648ae229b0
hex38705bede0

242403241440 has 96 divisors (see below), whose sum is σ = 763646710176. Its totient is φ = 64634388480.

The previous prime is 242403241363. The next prime is 242403241447. The reversal of 242403241440 is 44142304242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242403241398 and 242403241407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242403241447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6548424 + ... + 6585336.

It is an arithmetic number, because the mean of its divisors is an integer number (7954653231).

Almost surely, 2242403241440 is an apocalyptic number.

242403241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242403241440 is an abundant number, since it is smaller than the sum of its proper divisors (521243468736).

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

242403241440 is a wasteful number, since it uses less digits than its factorization.

242403241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50612 (or 50604 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 242403241440 its reverse (44142304242), we get a palindrome (286545545682).

The spelling of 242403241440 in words is "two hundred forty-two billion, four hundred three million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 13681 27362 36913 41043 54724 68405 73826 82086 109448 110739 136810 147652 164172 184565 205215 218896 221478 273620 295304 328344 369130 410430 437792 442956 547240 553695 590608 656688 738260 820860 885912 1094480 1107390 1181216 1313376 1476520 1641720 1771824 2188960 2214780 2953040 3283440 3543648 4429560 5906080 6566880 8859120 17718240 505006753 1010013506 1515020259 2020027012 2525033765 3030040518 4040054024 5050067530 6060081036 7575101295 8080108048 10100135060 12120162072 15150202590 16160216096 20200270120 24240324144 30300405180 40400540240 48480648288 60600810360 80801080480 121201620720 242403241440