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42682334244 = 223112127231461
BaseRepresentation
bin100111110000000100…
…001011110000100100
311002011121100020100020
4213300010023300210
51144403134143434
631335154315140
73040464566154
oct476004136044
9132147306306
1042682334244
1117113079500
128332288ab0
1340429c21a4
1420cc922764
15119c22c849
hex9f010bc24

42682334244 has 72 divisors (see below), whose sum is σ = 110331454464. Its totient is φ = 12832142400.

The previous prime is 42682334239. The next prime is 42682334257. The reversal of 42682334244 is 44243328624.

It is a junction number, because it is equal to n+sod(n) for n = 42682334196 and 42682334205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68674 + ... + 300134.

It is an arithmetic number, because the mean of its divisors is an integer number (1532381312).

Almost surely, 242682334244 is an apocalyptic number.

42682334244 is a gapful number since it is divisible by the number (44) 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 42682334244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55165727232).

42682334244 is an abundant number, since it is smaller than the sum of its proper divisors (67649120220).

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

42682334244 is a wasteful number, since it uses less digits than its factorization.

42682334244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231617 (or 231604 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

The spelling of 42682334244 in words is "forty-two billion, six hundred eighty-two million, three hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 127 132 242 254 363 381 484 508 726 762 1397 1452 1524 2794 4191 5588 8382 15367 16764 30734 46101 61468 92202 184404 231461 462922 694383 925844 1388766 2546071 2777532 5092142 7638213 10184284 15276426 28006781 29395547 30552852 56013562 58791094 84020343 88186641 112027124 117582188 168040686 176373282 323351017 336081372 352746564 646702034 970053051 1293404068 1940106102 3556861187 3880212204 7113722374 10670583561 14227444748 21341167122 42682334244