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42057338334 = 23112923394307
BaseRepresentation
bin100111001010110100…
…000000110111011110
311000120001022011010120
4213022310000313132
51142113134311314
631153150415410
73016135322514
oct471264006736
9130501264116
1042057338334
11169222a8860
128198b01566
133c7338421b
14206d9104b4
1511624238a9
hex9cad00dde

42057338334 has 64 divisors (see below), whose sum is σ = 95334071040. Its totient is φ = 12252235520.

The previous prime is 42057338293. The next prime is 42057338341. The reversal of 42057338334 is 43383375024.

42057338334 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398809 + ... + 493115.

It is an arithmetic number, because the mean of its divisors is an integer number (1489594860).

Almost surely, 242057338334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42057338334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47667035520).

42057338334 is an abundant number, since it is smaller than the sum of its proper divisors (53276732706).

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

42057338334 is a wasteful number, since it uses less digits than its factorization.

42057338334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94585.

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 42057338334 in words is "forty-two billion, fifty-seven million, three hundred thirty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 233 319 466 638 699 957 1398 1914 2563 5126 6757 7689 13514 15378 20271 40542 74327 94307 148654 188614 222981 282921 445962 565842 1037377 2074754 2734903 3112131 5469806 6224262 8204709 16409418 21973531 30083933 43947062 60167866 65920593 90251799 131841186 180503598 241708841 483417682 637232399 725126523 1274464798 1450253046 1911697197 3823394394 7009556389 14019112778 21028669167 42057338334