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42288680112 = 24372131137251
BaseRepresentation
bin100111011000100110…
…100000110010110000
311001011011121112101120
4213120212200302300
51143101400230422
631232133102240
73024644564400
oct473046406260
9131134545346
1042288680112
1116a30948308
128242487980
133cac293153
142092530800
1511778be45c
hex9d89a0cb0

42288680112 has 120 divisors (see below), whose sum is σ = 128052821952. Its totient is φ = 11990160000.

The previous prime is 42288680069. The next prime is 42288680113. The reversal of 42288680112 is 21108688224.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (42288680113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239487 + ... + 376737.

Almost surely, 242288680112 is an apocalyptic number.

42288680112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42288680112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64026410976).

42288680112 is an abundant number, since it is smaller than the sum of its proper divisors (85764141840).

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

42288680112 is a wasteful number, since it uses less digits than its factorization.

42288680112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137407 (or 137394 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 42288680112 in words is "forty-two billion, two hundred eighty-eight million, six hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 131 147 168 196 262 294 336 392 393 524 588 784 786 917 1048 1176 1572 1834 2096 2352 2751 3144 3668 5502 6288 6419 7336 11004 12838 14672 19257 22008 25676 38514 44016 51352 77028 102704 137251 154056 274502 308112 411753 549004 823506 960757 1098008 1647012 1921514 2196016 2882271 3294024 3843028 5764542 6588048 6725299 7686056 11529084 13450598 15372112 17979881 20175897 23058168 26901196 35959762 40351794 46116336 53802392 53939643 71919524 80703588 107604784 107879286 125859167 143839048 161407176 215758572 251718334 287678096 322814352 377577501 431517144 503436668 755155002 863034288 881014169 1006873336 1510310004 1762028338 2013746672 2643042507 3020620008 3524056676 5286085014 6041240016 7048113352 10572170028 14096226704 21144340056 42288680112