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42304013320 = 2352993738921
BaseRepresentation
bin100111011001100001…
…000000010000001000
311001012020110112121011
4213121201000100020
51143114311411240
631233441453304
73025222115542
oct473141002010
9131166415534
1042304013320
1116a39570388
128247641234
133cb250135a
1420945a2692
151178dec6ea
hex9d9840408

42304013320 has 64 divisors (see below), whose sum is σ = 98573857200. Its totient is φ = 16320245760.

The previous prime is 42304013299. The next prime is 42304013387. The reversal of 42304013320 is 2331040324.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 155102116 + 42148911204 = 12454^2 + 205302^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42304013291 and 42304013300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1067460 + ... + 1106380.

Almost surely, 242304013320 is an apocalyptic number.

42304013320 is a gapful number since it is divisible by the number (40) 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 42304013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49286928600).

42304013320 is an abundant number, since it is smaller than the sum of its proper divisors (56269843880).

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

42304013320 is a wasteful number, since it uses less digits than its factorization.

42304013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39898 (or 39894 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 42304013320 its reverse (2331040324), we get a palindrome (44635053644).

The spelling of 42304013320 in words is "forty-two billion, three hundred four million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 937 1160 1874 3748 4685 7496 9370 18740 27173 37480 38921 54346 77842 108692 135865 155684 194605 217384 271730 311368 389210 543460 778420 1086920 1128709 1556840 2257418 4514836 5643545 9029672 11287090 22574180 36468977 45148360 72937954 145875908 182344885 291751816 364689770 729379540 1057600333 1458759080 2115200666 4230401332 5288001665 8460802664 10576003330 21152006660 42304013320