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242002403214024 = 23329446009779591
BaseRepresentation
bin110111000001100110010011…
…010001110100001011001000
31011201212012111120110211201210
4313001212103101310023020
5223204431410210322044
62214410211432013120
7101655045103020315
oct6701462321641310
91151765446424653
10242002403214024
11701227086964a2
122318582b2311a0
13a505961c6052b
1443a8d9bc07d0c
151cea087c471b9
hexdc19934742c8

242002403214024 has 64 divisors (see below), whose sum is σ = 625870490256000. Its totient is φ = 77885556385280.

The previous prime is 242002403214001. The next prime is 242002403214031. The reversal of 242002403214024 is 420412304200242.

It is a happy number.

It is a super-2 number, since 2×2420024032140242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242002403213982 and 242002403214000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310032469 + ... + 310812059.

It is an arithmetic number, because the mean of its divisors is an integer number (9779226410250).

Almost surely, 2242002403214024 is an apocalyptic number.

242002403214024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242002403214024 is an abundant number, since it is smaller than the sum of its proper divisors (383868087041976).

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

242002403214024 is a wasteful number, since it uses less digits than its factorization.

242002403214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225638 (or 1225634 counting only the distinct ones).

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

Adding to 242002403214024 its reverse (420412304200242), we get a palindrome (662414707414266).

The spelling of 242002403214024 in words is "two hundred forty-two trillion, two billion, four hundred three million, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 446009 779591 892018 1338027 1559182 1784036 2338773 2676054 3118364 3568072 4677546 5352108 6236728 9355092 10704216 12934261 18710184 22608139 25868522 38802783 45216278 51737044 67824417 77605566 90432556 103474088 135648834 155211132 180865112 271297668 310422264 542595336 347704602319 695409204638 1043113806957 1390818409276 2086227613914 2781636818552 4172455227828 8344910455656 10083433467251 20166866934502 30250300401753 40333733869004 60500600803506 80667467738008 121001201607012 242002403214024