Search a number
-
+
1142311514322 = 2311232943603457
BaseRepresentation
bin10000100111110111000…
…100100111000011010010
311001012111122122101202210
4100213313010213003102
5122203423221424242
62232434244052550
7145346354444106
oct20476704470322
94035448571683
101142311514322
114004a7084a50
12165479994156
1383947a04894
143d406a5d906
151eaaa380d9c
hex109f71270d2

1142311514322 has 128 divisors (see below), whose sum is σ = 2752927119360. Its totient is φ = 312252272640.

The previous prime is 1142311514321. The next prime is 1142311514389. The reversal of 1142311514322 is 2234151132411.

It is a super-2 number, since 2×11423115143222 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1142311514322.

It is not an unprimeable number, because it can be changed into a prime (1142311514321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1591218 + ... + 2194674.

It is an arithmetic number, because the mean of its divisors is an integer number (21507243120).

Almost surely, 21142311514322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142311514322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376463559680).

1142311514322 is an abundant number, since it is smaller than the sum of its proper divisors (1610615605038).

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

1142311514322 is a wasteful number, since it uses less digits than its factorization.

1142311514322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603568.

The product of its digits is 5760, while the sum is 30.

Adding to 1142311514322 its reverse (2234151132411), we get a palindrome (3376462646733).

The spelling of 1142311514322 in words is "one trillion, one hundred forty-two billion, three hundred eleven million, five hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 29 33 43 46 58 66 69 86 87 129 138 174 253 258 319 473 506 638 667 759 946 957 989 1247 1334 1419 1518 1914 1978 2001 2494 2838 2967 3741 4002 5934 7337 7482 10879 13717 14674 21758 22011 27434 28681 32637 41151 44022 57362 65274 82302 86043 172086 315491 603457 630982 946473 1206914 1810371 1892946 3620742 6638027 13276054 13879511 17500253 19914081 25948651 27759022 35000506 39828162 41638533 51897302 52500759 77845953 83277066 105001518 152674621 155691906 192502783 285435161 305349242 385005566 402505819 458023863 570870322 577508349 596818973 752510879 805011638 856305483 916047726 1155016698 1193637946 1207517457 1505021758 1712610966 1790456919 2257532637 2415034914 3580913838 4427564009 4515065274 6565008703 8277619669 8855128018 13130017406 13282692027 16555239338 17307750217 19695026109 24832859007 26565384054 34615500434 39390052218 49665718014 51923250651 103846501302 190385252387 380770504774 571155757161 1142311514322