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42241313448 = 233217136125357
BaseRepresentation
bin100111010101110001…
…110100101010101000
311001000212111001112200
4213111301310222220
51143002234012243
631223321540200
73023531145225
oct472561645250
9131025431480
1042241313448
1116a07136004
12822a644660
133ca251a539
14208a12094c
151173664ad3
hex9d5c74aa8

42241313448 has 96 divisors (see below), whose sum is σ = 121226961960. Its totient is φ = 13241917440.

The previous prime is 42241313447. The next prime is 42241313453. The reversal of 42241313448 is 84431314224.

42241313448 is a `hidden beast` number, since 42 + 241 + 31 + 344 + 8 = 666.

42241313448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31963003524 + 10278309924 = 178782^2 + 101382^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42241313441) 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, 1653186 + ... + 1678542.

Almost surely, 242241313448 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 42241313448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60613480980).

42241313448 is an abundant number, since it is smaller than the sum of its proper divisors (78985648512).

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

42241313448 is a wasteful number, since it uses less digits than its factorization.

42241313448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26747 (or 26740 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 42241313448 in words is "forty-two billion, two hundred forty-one million, three hundred thirteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1361 2722 4083 5444 8166 10888 12249 16332 23137 24498 25357 32664 46274 48996 50714 69411 76071 92548 97992 101428 138822 152142 185096 202856 208233 228213 277644 304284 416466 431069 456426 555288 608568 832932 862138 912852 1293207 1665864 1724276 1825704 2586414 3448552 3879621 5172828 7759242 10345656 15518484 31036968 34510877 69021754 103532631 138043508 207065262 276087016 310597893 414130524 586684909 621195786 828261048 1173369818 1242391572 1760054727 2346739636 2484783144 3520109454 4693479272 5280164181 7040218908 10560328362 14080437816 21120656724 42241313448