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2315610564140 = 2252321631342741
BaseRepresentation
bin100001101100100101001…
…001010010011000101100
322012100222212210200221102
4201230211021102120230
5300414332301023030
64531435442422232
7326203663015256
oct41544511223054
98170885720842
102315610564140
11813054882a65
12314945361978
1313a490566183
148010cd4ccd6
154037ada8c45
hex21b2525262c

2315610564140 has 72 divisors (see below), whose sum is σ = 5114590213488. Its totient is φ = 880536666240.

The previous prime is 2315610564131. The next prime is 2315610564143. The reversal of 2315610564140 is 414650165132.

It is a junction number, because it is equal to n+sod(n) for n = 2315610564094 and 2315610564103.

It is not an unprimeable number, because it can be changed into a prime (2315610564143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053170 + ... + 2395910.

Almost surely, 22315610564140 is an apocalyptic number.

2315610564140 is a gapful number since it is divisible by the number (20) 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 2315610564140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557295106744).

2315610564140 is an abundant number, since it is smaller than the sum of its proper divisors (2798979649348).

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

2315610564140 is a wasteful number, since it uses less digits than its factorization.

2315610564140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342959 (or 1342934 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 2315610564140 in words is "two trillion, three hundred fifteen billion, six hundred ten million, five hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 163 230 326 460 529 652 815 1058 1630 2116 2645 3260 3749 5290 7498 10580 14996 18745 37490 74980 86227 172454 344908 431135 862270 1342741 1724540 2685482 5370964 6713705 13427410 26854820 30883043 61766086 123532172 154415215 218866783 308830430 437733566 617660860 710309989 875467132 1094333915 1420619978 2188667830 2841239956 3551549945 4377335660 5033936009 7103099890 10067872018 14206199780 20135744036 25169680045 50339360090 100678720180 115780528207 231561056414 463122112828 578902641035 1157805282070 2315610564140