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42353256344 = 23723311105733
BaseRepresentation
bin100111011100011100…
…110110011110011000
311001022200010100022212
4213130130312132120
51143214413200334
631242401134252
73026360511320
oct473434663630
9131280110285
1042353256344
1116a643443a3
12826002a388
133cbc783039
14209ad40280
15117d3c7ece
hex9dc736798

42353256344 has 64 divisors (see below), whose sum is σ = 95008343040. Its totient is φ = 17306213760.

The previous prime is 42353256329. The next prime is 42353256349. The reversal of 42353256344 is 44365235324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42353256349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347702 + ... + 453434.

It is an arithmetic number, because the mean of its divisors is an integer number (1484505360).

Almost surely, 242353256344 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 42353256344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47504171520).

42353256344 is an abundant number, since it is smaller than the sum of its proper divisors (52655086696).

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

42353256344 is a wasteful number, since it uses less digits than its factorization.

42353256344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106080 (or 106076 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 41.

The spelling of 42353256344 in words is "forty-two billion, three hundred fifty-three million, two hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 311 322 622 644 1244 1288 2177 2488 4354 7153 8708 14306 17416 28612 50071 57224 100142 105733 200284 211466 400568 422932 740131 845864 1480262 2431859 2960524 4863718 5921048 9727436 17023013 19454872 32882963 34046026 65765926 68092052 131531852 136184104 230180741 263063704 460361482 756308149 920722964 1512616298 1841445928 3025232596 5294157043 6050465192 10588314086 21176628172 42353256344