Search a number
-
+
42944199696 = 24321015095801
BaseRepresentation
bin100111111111101011…
…000111110000010000
311002211212002101012200
4213333223013300100
51200422203342241
631421151123200
73050124450246
oct477753076020
9132755071180
1042944199696
1117237976932
1283a5b13500
13408502a568
14211560a796
1511b52074b6
hex9ffac7c10

42944199696 has 120 divisors (see below), whose sum is σ = 121633476120. Its totient is φ = 14142720000.

The previous prime is 42944199689. The next prime is 42944199713. The reversal of 42944199696 is 69699144924.

42944199696 is a `hidden beast` number, since 42 + 9 + 4 + 419 + 96 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36771897600 + 6172302096 = 191760^2 + 78564^2 .

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 23 ways as a sum of consecutive naturals, for example, 7399996 + ... + 7405796.

It is an arithmetic number, because the mean of its divisors is an integer number (1013612301).

Almost surely, 242944199696 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 42944199696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60816738060).

42944199696 is an abundant number, since it is smaller than the sum of its proper divisors (78689276424).

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

42944199696 is a wasteful number, since it uses less digits than its factorization.

42944199696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425 (or 6416 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 42944199696 in words is "forty-two billion, nine hundred forty-four million, one hundred ninety-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 509 606 808 909 1018 1212 1527 1616 1818 2036 2424 3054 3636 4072 4581 4848 5801 6108 7272 8144 9162 11602 12216 14544 17403 18324 23204 24432 34806 36648 46408 51409 52209 69612 73296 92816 102818 104418 139224 154227 205636 208836 278448 308454 411272 417672 462681 585901 616908 822544 835344 925362 1171802 1233816 1757703 1850724 2343604 2467632 2952709 3515406 3701448 4687208 5273109 5905418 7030812 7402896 8858127 9374416 10546218 11810836 14061624 17716254 21092436 23621672 26574381 28123248 35432508 42184872 47243344 53148762 70865016 84369744 106297524 141730032 212595048 298223609 425190096 596447218 894670827 1192894436 1789341654 2385788872 2684012481 3578683308 4771577744 5368024962 7157366616 10736049924 14314733232 21472099848 42944199696