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2315302234040 = 2353115671191563
BaseRepresentation
bin100001101100010010110…
…001000110011110111000
322012100012101121220120002
4201230102301012132320
5300413214332442130
64531345110052132
7326163230162555
oct41542261063670
98170171556502
102315302234040
11812a06829aa4
1231487a04a048
1313a44170c923
14800c000ba2c
154035dca1b45
hex21b12c467b8

2315302234040 has 64 divisors (see below), whose sum is σ = 5380912373760. Its totient is φ = 895673324160.

The previous prime is 2315302234033. The next prime is 2315302234087. The reversal of 2315302234040 is 404322035132.

It is a happy number.

It is a super-2 number, since 2×23153022340402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2315302233994 and 2315302234012.

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, 1347299 + ... + 2538861.

It is an arithmetic number, because the mean of its divisors is an integer number (84076755840).

Almost surely, 22315302234040 is an apocalyptic number.

2315302234040 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 2315302234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690456186880).

2315302234040 is an abundant number, since it is smaller than the sum of its proper divisors (3065610139720).

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

2315302234040 is a wasteful number, since it uses less digits than its factorization.

2315302234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193172 (or 1193168 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 2315302234040 its reverse (404322035132), we get a palindrome (2719624269172).

The spelling of 2315302234040 in words is "two trillion, three hundred fifteen billion, three hundred two million, two hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1567 3134 6268 7835 12536 15670 31340 48577 62680 97154 194308 242885 388616 485770 971540 1191563 1943080 2383126 4766252 5957815 9532504 11915630 23831260 36938453 47662520 73876906 147753812 184692265 295507624 369384530 738769060 1477538120 1867179221 3734358442 7468716884 9335896105 14937433768 18671792210 37343584420 57882555851 74687168840 115765111702 231530223404 289412779255 463060446808 578825558510 1157651117020 2315302234040