Search a number
-
+
42332111130320 = 24511278831725233
BaseRepresentation
bin10011010000000001101100…
…11100100100111011010000
312112212220120121110022202122
421220000312130210323100
521022032130422132240
6230011034155233412
711626252114425044
oct1150006634447320
9175786517408678
1042332111130320
1112540a47156690
1248b82b6448868
131a80b9350985b
14a64c56a5c024
154d624e4e74b5
hex268036724ed0

42332111130320 has 80 divisors (see below), whose sum is σ = 107373540278592. Its totient is φ = 15392933959680.

The previous prime is 42332111130269. The next prime is 42332111130451. The reversal of 42332111130320 is 2303111123324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 42332111130320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23674424 + ... + 25399656.

Almost surely, 242332111130320 is an apocalyptic number.

42332111130320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42332111130320 is an abundant number, since it is smaller than the sum of its proper divisors (65041429148272).

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

42332111130320 is a wasteful number, since it uses less digits than its factorization.

42332111130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753140 (or 1753134 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 42332111130320 its reverse (2303111123324), we get a palindrome (44635222253644).

The spelling of 42332111130320 in words is "forty-two trillion, three hundred thirty-two billion, one hundred eleven million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 27883 55766 111532 139415 223064 278830 306713 446128 557660 613426 1115320 1226852 1533565 1725233 2230640 2453704 3067130 3450466 4907408 6134260 6900932 8626165 12268520 13801864 17252330 18977563 24537040 27603728 34504660 37955126 69009320 75910252 94887815 138018640 151820504 189775630 303641008 379551260 759102520 1518205040 48104671739 96209343478 192418686956 240523358695 384837373912 481046717390 529151389129 769674747824 962093434780 1058302778258 1924186869560 2116605556516 2645756945645 3848373739120 4233211113032 5291513891290 8466422226064 10583027782580 21166055565160 42332111130320