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42114343344 = 2432963147947
BaseRepresentation
bin100111001110001101…
…011110000110110000
311000201000120022022020
4213032031132012300
51142222232441334
631202544311440
73020430004053
oct471615360660
9130630508266
1042114343344
11169514a3537
1281b4012580
133c82122bb8
14207730ca9a
151167433e49
hex9ce35e1b0

42114343344 has 80 divisors (see below), whose sum is σ = 112727665920. Its totient is φ = 13532279040.

The previous prime is 42114343333. The next prime is 42114343357. The reversal of 42114343344 is 44334341124.

42114343344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854379 + ... + 902325.

It is an arithmetic number, because the mean of its divisors is an integer number (1409095824).

Almost surely, 242114343344 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 42114343344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56363832960).

42114343344 is an abundant number, since it is smaller than the sum of its proper divisors (70613322576).

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

42114343344 is a wasteful number, since it uses less digits than its factorization.

42114343344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48618 (or 48612 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 42114343344 its reverse (44334341124), we get a palindrome (86448684468).

The spelling of 42114343344 in words is "forty-two billion, one hundred fourteen million, three hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 631 696 1262 1392 1893 2524 3786 5048 7572 10096 15144 18299 30288 36598 47947 54897 73196 95894 109794 143841 146392 191788 219588 287682 292784 383576 439176 575364 767152 878352 1150728 1390463 2301456 2780926 4171389 5561852 8342778 11123704 16685556 22247408 30254557 33371112 60509114 66742224 90763671 121018228 181527342 242036456 363054684 484072912 726109368 877382153 1452218736 1754764306 2632146459 3509528612 5264292918 7019057224 10528585836 14038114448 21057171672 42114343344