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42243103456 = 2523121347317
BaseRepresentation
bin100111010101111000…
…101001101011100000
311001000222211222222021
4213111320221223200
51143003213302311
631223424151224
73023552312011
oct472570515340
9131028758867
1042243103456
1116a08148954
12822b168514
133ca29c6208
14208a469008
1511738ba171
hex9d5e29ae0

42243103456 has 48 divisors (see below), whose sum is σ = 86855406624. Its totient is φ = 20186141184.

The previous prime is 42243103451. The next prime is 42243103457. The reversal of 42243103456 is 65430134224.

42243103456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42243103451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 869110 + ... + 916426.

It is an arithmetic number, because the mean of its divisors is an integer number (1809487638).

Almost surely, 242243103456 is an apocalyptic number.

42243103456 is a gapful number since it is divisible by the number (46) 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 42243103456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43427703312).

42243103456 is an abundant number, since it is smaller than the sum of its proper divisors (44612303168).

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

42243103456 is a wasteful number, since it uses less digits than its factorization.

42243103456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48563 (or 48555 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 42243103456 in words is "forty-two billion, two hundred forty-three million, one hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1213 2426 4852 9704 19408 27899 38816 47317 55798 94634 111596 189268 223192 378536 446384 757072 892768 1088291 1514144 2176582 4353164 8706328 17412656 34825312 57395521 114791042 229582084 459164168 918328336 1320096983 1836656672 2640193966 5280387932 10560775864 21121551728 42243103456