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2434053426112 = 26711565987281
BaseRepresentation
bin100011011010111000111…
…000111100101111000000
322121200201100221111122001
4203122320320330233000
5304334420134113422
65102104432153344
7340566053515540
oct43327070745700
98550640844561
102434053426112
11859304781250
1233389b698854
131486b7c73b99
1485b4755b320
15434ae2ca227
hex236b8e3cbc0

2434053426112 has 112 divisors (see below), whose sum is σ = 6023044535040. Its totient is φ = 948154060800.

The previous prime is 2434053426097. The next prime is 2434053426157. The reversal of 2434053426112 is 2116243504342.

2434053426112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 27843912 + ... + 27931192.

Almost surely, 22434053426112 is an apocalyptic number.

2434053426112 is a gapful number since it is divisible by the number (22) 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 2434053426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011522267520).

2434053426112 is an abundant number, since it is smaller than the sum of its proper divisors (3588991108928).

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

2434053426112 is a wasteful number, since it uses less digits than its factorization.

2434053426112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92970 (or 92960 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 2434053426112 in words is "two trillion, four hundred thirty-four billion, fifty-three million, four hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 5659 11318 22636 39613 45272 62249 79226 87281 90544 124498 158452 174562 181088 248996 316904 349124 362176 435743 497992 610967 633808 698248 871486 960091 995984 1221934 1267616 1396496 1742972 1920182 1991968 2443868 2535232 2792992 3485944 3840364 3983936 4887736 5585984 6720637 6971888 7680728 9775472 13441274 13943776 15361456 19550944 26882548 27887552 30722912 39101888 53765096 61445824 107530192 215060384 430120768 493923179 987846358 1975692716 3457462253 3951385432 5433154969 6914924506 7902770864 10866309938 13829849012 15805541728 21732619876 27659698024 31611083456 38032084783 43465239752 55319396048 76064169566 86930479504 110638792096 152128339132 173860959008 221277584192 304256678264 347721918016 608513356528 1217026713056 2434053426112