Search a number
-
+
234312423114 = 2374118871667
BaseRepresentation
bin1101101000111000011…
…0111101011011001010
3211101210122011101021010
43122032012331123022
512314332440014424
6255350332224350
722633323510000
oct3321606753312
9741718141233
10234312423114
119040a288580
12394b290b0b6
1319131c63213
14b4ab168a70
156165988229
hex368e1bd6ca

234312423114 has 160 divisors (see below), whose sum is σ = 597426679296. Its totient is φ = 60755288160.

The previous prime is 234312423089. The next prime is 234312423119. The reversal of 234312423114 is 411324213432.

It is a super-2 number, since 2×2343124231142 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234312423119) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 140558509 + ... + 140560175.

Almost surely, 2234312423114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234312423114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298713339648).

234312423114 is an abundant number, since it is smaller than the sum of its proper divisors (363114256182).

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

234312423114 is a wasteful number, since it uses less digits than its factorization.

234312423114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2577 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 234312423114 its reverse (411324213432), we get a palindrome (645636636546).

The spelling of 234312423114 in words is "two hundred thirty-four billion, three hundred twelve million, four hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 343 462 539 686 887 1029 1078 1617 1667 1774 2058 2401 2661 3234 3334 3773 4802 5001 5322 6209 7203 7546 9757 10002 11319 11669 12418 14406 18337 18627 19514 22638 23338 26411 29271 35007 36674 37254 43463 52822 55011 58542 68299 70014 79233 81683 86926 110022 128359 130389 136598 158466 163366 204897 245049 256718 260778 304241 385077 409794 478093 490098 571781 608482 770154 898513 912723 956186 1143562 1434279 1478629 1715343 1797026 1825446 2129687 2695539 2868558 2957258 3346651 3430686 4002467 4259374 4435887 5391078 6289591 6389061 6693302 8004934 8871774 10039953 10350403 12007401 12579182 12778122 16264919 18868773 20079906 20700806 23426557 24014802 31051209 32529838 37737546 44027137 46853114 48794757 62102418 70279671 72452821 88054274 97589514 113854433 132081411 140559342 144905642 217358463 227708866 264162822 341563299 434716926 507169747 683126598 796981031 1014339494 1521509241 1593962062 2390943093 3043018482 3550188229 4781886186 5578867217 7100376458 10650564687 11157734434 16736601651 21301129374 33473203302 39052070519 78104141038 117156211557 234312423114