Search a number
-
+
2140142030312 = 23111317924474271
BaseRepresentation
bin11111001001001010011…
…001111100110111101000
321120121002011210121200012
4133021022121330313220
5240031002324432222
64315100115031052
7310422500051636
oct37111231746750
97517064717605
102140142030312
117556a1423450
122a693529b488
13126a78694870
1475824cd0356
153aa0b4071e2
hex1f24a67cde8

2140142030312 has 128 divisors (see below), whose sum is σ = 4743683481600. Its totient is φ = 892371244800.

The previous prime is 2140142030303. The next prime is 2140142030393. The reversal of 2140142030312 is 2130302410412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501084737 + ... + 501089007.

It is an arithmetic number, because the mean of its divisors is an integer number (37060027200).

Almost surely, 22140142030312 is an apocalyptic number.

2140142030312 is a gapful number since it is divisible by the number (22) 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 2140142030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371841740800).

2140142030312 is an abundant number, since it is smaller than the sum of its proper divisors (2603541451288).

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

2140142030312 is a wasteful number, since it uses less digits than its factorization.

2140142030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2140142030312 its reverse (2130302410412), we get a palindrome (4270444440724).

The spelling of 2140142030312 in words is "two trillion, one hundred forty billion, one hundred forty-two million, thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 179 286 358 572 716 1144 1432 1969 2327 2447 3938 4271 4654 4894 7876 8542 9308 9788 15752 17084 18616 19576 25597 26917 31811 34168 46981 51194 53834 55523 63622 93962 102388 107668 111046 127244 187924 204776 215336 222092 254488 349921 375848 438013 444184 610753 699842 764509 876026 1221506 1399684 1529018 1752052 2443012 2799368 3058036 3504104 4818143 4886024 5694169 6116072 8409599 9636286 9938617 10451137 11388338 16819198 19272572 19877234 20902274 22776676 33638396 38545144 39754468 41804548 45553352 62635859 67276792 79508936 83609096 109324787 114962507 125271718 135864781 218649574 229925014 250543436 271729562 437299148 459850028 501086872 543459124 874598296 919700056 1086918248 1494512591 1870753523 2989025182 3741507046 5978050364 7483014092 11956100728 14966028184 20578288753 24319795799 41156577506 48639591598 82313155012 97279183196 164626310024 194558366392 267517753789 535035507578 1070071015156 2140142030312