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242939770416 = 24327571422087
BaseRepresentation
bin1110001001000001010…
…1101011011000110000
3212020001220001000212200
43202100111223120300
512440020040123131
6303334402223200
723360162656020
oct3422025533060
9766056030780
10242939770416
1194037192272
123b100054b00
1319ba8458655
14ba88c97a80
1564bd0a42e6
hex389056b630

242939770416 has 120 divisors (see below), whose sum is σ = 778384299264. Its totient is φ = 69289637760.

The previous prime is 242939770351. The next prime is 242939770483. The reversal of 242939770416 is 614077939242.

242939770416 is a `hidden beast` number, since 242 + 9 + 397 + 7 + 0 + 4 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364525 + ... + 786611.

Almost surely, 2242939770416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242939770416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389192149632).

242939770416 is an abundant number, since it is smaller than the sum of its proper divisors (535444528848).

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

242939770416 is a wasteful number, since it uses less digits than its factorization.

242939770416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422679 (or 422670 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 242939770416 in words is "two hundred forty-two billion, nine hundred thirty-nine million, seven hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 571 1008 1142 1713 2284 3426 3997 4568 5139 6852 7994 9136 10278 11991 13704 15988 20556 23982 27408 31976 35973 41112 47964 63952 71946 82224 95928 143892 191856 287784 422087 575568 844174 1266261 1688348 2532522 2954609 3376696 3798783 5065044 5909218 6753392 7597566 8863827 10130088 11818436 15195132 17727654 20260176 23636872 26591481 30390264 35455308 47273744 53182962 60780528 70910616 106365924 141821232 212731848 241011677 425463696 482023354 723035031 964046708 1446070062 1687081739 1928093416 2169105093 2892140124 3374163478 3856186832 4338210186 5061245217 5784280248 6748326956 8676420372 10122490434 11568560496 13496653912 15183735651 17352840744 20244980868 26993307824 30367471302 34705681488 40489961736 60734942604 80979923472 121469885208 242939770416