Search a number
-
+
2313152440410 = 2357611011787861
BaseRepresentation
bin100001101010010010101…
…000010010100001011010
322012010122120102002002210
4201222102220102201122
5300344314011043120
64530351512335550
7326056034220630
oct41522250224132
98163576362083
102313152440410
11812003281249
1231437a0a45b6
1313a18b2095a6
147dd586bd350
15402851a0ce0
hex21a92a1285a

2313152440410 has 128 divisors (see below), whose sum is σ = 6512509029888. Its totient is φ = 514903680000.

The previous prime is 2313152440393. The next prime is 2313152440433. The reversal of 2313152440410 is 140442513132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399880 + ... + 2187740.

It is an arithmetic number, because the mean of its divisors is an integer number (50878976796).

Almost surely, 22313152440410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313152440410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256254514944).

2313152440410 is an abundant number, since it is smaller than the sum of its proper divisors (4199356589478).

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

2313152440410 is a wasteful number, since it uses less digits than its factorization.

2313152440410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788040.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 2313152440410 its reverse (140442513132), we get a palindrome (2453594953542).

The spelling of 2313152440410 in words is "two trillion, three hundred thirteen billion, one hundred fifty-two million, four hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 101 105 122 183 202 210 303 305 366 427 505 606 610 707 854 915 1010 1281 1414 1515 1830 2121 2135 2562 3030 3535 4242 4270 6161 6405 7070 10605 12322 12810 18483 21210 30805 36966 43127 61610 86254 92415 129381 184830 215635 258762 431270 646905 1293810 1787861 3575722 5363583 8939305 10727166 12515027 17878610 25030054 26817915 37545081 53635830 62575135 75090162 109059521 125150270 180573961 187725405 218119042 327178563 361147922 375450810 541721883 545297605 654357126 763416647 902869805 1083443766 1090595210 1264017727 1526833294 1635892815 1805739610 2290249941 2528035454 2708609415 3271785630 3792053181 3817083235 4580499882 5417218830 6320088635 7584106362 7634166470 11015011621 11451249705 12640177270 18960265905 22030023242 22902499410 33045034863 37920531810 55075058105 66090069726 77105081347 110150116210 154210162694 165225174315 231315244041 330450348630 385525406735 462630488082 771050813470 1156576220205 2313152440410