Search a number
-
+
117441873384 = 233112341394673
BaseRepresentation
bin110110101100000010…
…1001100010111101000
3102020010201121022111020
41231120011030113220
53411010104422014
6125541350532440
711325214311213
oct1553005142750
9366121538436
10117441873384
114589696a7a0
121a917067120
13b0c8215894
1459816c477a
1530c55e71a9
hex1b5814c5e8

117441873384 has 128 divisors (see below), whose sum is σ = 334374220800. Its totient is φ = 34025615360.

The previous prime is 117441873343. The next prime is 117441873397. The reversal of 117441873384 is 483378144711.

It is a super-2 number, since 2×1174418733842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25129672 + ... + 25134344.

It is an arithmetic number, because the mean of its divisors is an integer number (2612298600).

Almost surely, 2117441873384 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 117441873384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167187110400).

117441873384 is an abundant number, since it is smaller than the sum of its proper divisors (216932347416).

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

117441873384 is a wasteful number, since it uses less digits than its factorization.

117441873384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8855 (or 8851 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The spelling of 117441873384 in words is "one hundred seventeen billion, four hundred forty-one million, eight hundred seventy-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 4139 4673 6072 8278 9346 12417 14019 16556 18692 24834 28038 33112 37384 45529 49668 51403 56076 91058 95197 99336 102806 107479 112152 136587 154209 182116 190394 205612 214958 273174 285591 308418 322437 364232 380788 411224 429916 546348 571182 616836 644874 761576 859832 1047167 1092696 1142364 1182269 1233672 1289748 2094334 2284728 2364538 2579496 3141501 3546807 4188668 4729076 6283002 7093614 8377336 9458152 12566004 14187228 19341547 25132008 28374456 38683094 58024641 77366188 116049282 154732376 212757017 232098564 425514034 444855581 464197128 638271051 851028068 889711162 1276542102 1334566743 1702056136 1779422324 2553084204 2669133486 3558844648 4893411391 5106168408 5338266972 9786822782 10676533944 14680234173 19573645564 29360468346 39147291128 58720936692 117441873384