Search a number
-
+
42343133120 = 265315380537
BaseRepresentation
bin100111011011110110…
…001110111111000000
311001021222002000212122
4213123312032333000
51143204320224440
631241400143412
73026205456461
oct473366167700
9131258060778
1042343133120
1116a5965a6a2
128258767b68
133cba64a372
142099866d68
15117c5787b5
hex9dbd8efc0

42343133120 has 112 divisors (see below), whose sum is σ = 106047283968. Its totient is φ = 16081428480.

The previous prime is 42343133093. The next prime is 42343133137. The reversal of 42343133120 is 2133134324.

It is a self number, because there is not a number n which added to its sum of digits gives 42343133120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485492 + ... + 566028.

Almost surely, 242343133120 is an apocalyptic number.

42343133120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42343133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53023641984).

42343133120 is an abundant number, since it is smaller than the sum of its proper divisors (63704150848).

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

42343133120 is a wasteful number, since it uses less digits than its factorization.

42343133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80638 (or 80628 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 42343133120 its reverse (2133134324), we get a palindrome (44476267444).

The spelling of 42343133120 in words is "forty-two billion, three hundred forty-three million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 53 62 64 80 106 124 155 160 212 248 265 310 320 424 496 530 620 848 992 1060 1240 1643 1696 1984 2120 2480 3286 3392 4240 4960 6572 8215 8480 9920 13144 16430 16960 26288 32860 52576 65720 80537 105152 131440 161074 262880 322148 402685 525760 644296 805370 1288592 1610740 2496647 2577184 3221480 4268461 4993294 5154368 6442960 8536922 9986588 12483235 12885920 17073844 19973176 21342305 24966470 25771840 34147688 39946352 42684610 49932940 68295376 79892704 85369220 99865880 132322291 136590752 159785408 170738440 199731760 264644582 273181504 341476880 399463520 529289164 661611455 682953760 798927040 1058578328 1323222910 1365907520 2117156656 2646445820 4234313312 5292891640 8468626624 10585783280 21171566560 42343133120