Search a number
-
+
117443431424 = 2101132292
BaseRepresentation
bin110110101100000101…
…1001000110000000000
3102020010211112110201102
41231120023020300000
53411011004301144
6125541444153532
711325233460464
oct1553013106000
9366124473642
10117443431424
1145897834330
121a9176988a8
13b0c863cab7
1459819ac4a4
1530c5803b4e
hex1b582c8c00

117443431424 has 66 divisors (see below), whose sum is σ = 256194438444. Its totient is φ = 53366845440.

The previous prime is 117443431421. The next prime is 117443431481. The reversal of 117443431424 is 424134344711.

It is not an unprimeable number, because it can be changed into a prime (117443431421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36369842 + ... + 36373070.

Almost surely, 2117443431424 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 117443431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128097219222).

117443431424 is an abundant number, since it is smaller than the sum of its proper divisors (138751007020).

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

117443431424 is an frugal number, since it uses more digits than its factorization.

117443431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489 (or 3242 counting only the distinct ones).

The product of its digits is 129024, while the sum is 38.

The spelling of 117443431424 in words is "one hundred seventeen billion, four hundred forty-three million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 3229 5632 6458 11264 12916 25832 35519 51664 71038 103328 142076 206656 284152 413312 568304 826624 1136608 1653248 2273216 3306496 4546432 9092864 10426441 18185728 20852882 36371456 41705764 83411528 114690851 166823056 229381702 333646112 458763404 667292224 917526808 1334584448 1835053616 2669168896 3670107232 5338337792 7340214464 10676675584 14680428928 29360857856 58721715712 117443431424