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42844383144 = 233217331105751
BaseRepresentation
bin100111111001101110…
…010110011110101000
311002120220021011122100
4213321232112132220
51200221130230034
631403223453400
73044503151013
oct477156263650
9132526234570
1042844383144
11171965a0212
1283785b7260
13406a44c404
14210626637a
1511ab58c099
hex9f9b967a8

42844383144 has 96 divisors (see below), whose sum is σ = 123234920640. Its totient is φ = 13400640000.

The previous prime is 42844383139. The next prime is 42844383149. The reversal of 42844383144 is 44138344824.

42844383144 is a `hidden beast` number, since 428 + 4 + 4 + 3 + 83 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (42844383139) and next prime (42844383149).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42844383144.

It is not an unprimeable number, because it can be changed into a prime (42844383149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352269 + ... + 458019.

It is an arithmetic number, because the mean of its divisors is an integer number (1283697090).

Almost surely, 242844383144 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 42844383144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61617460320).

42844383144 is an abundant number, since it is smaller than the sum of its proper divisors (80390537496).

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

42844383144 is a wasteful number, since it uses less digits than its factorization.

42844383144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106111 (or 106104 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The spelling of 42844383144 in words is "forty-two billion, eight hundred forty-four million, three hundred eighty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 331 408 612 662 993 1224 1324 1986 2648 2979 3972 5627 5958 7944 11254 11916 16881 22508 23832 33762 45016 50643 67524 101286 105751 135048 202572 211502 317253 405144 423004 634506 846008 951759 1269012 1797767 1903518 2538024 3595534 3807036 5393301 7191068 7614072 10786602 14382136 16179903 21573204 32359806 35003581 43146408 64719612 70007162 105010743 129439224 140014324 210021486 280028648 315032229 420042972 595060877 630064458 840085944 1190121754 1260128916 1785182631 2380243508 2520257832 3570365262 4760487016 5355547893 7140730524 10711095786 14281461048 21422191572 42844383144