Search a number
-
+
12310410314240 = 29513591353819
BaseRepresentation
bin1011001100100011110110…
…1000100100001000000000
31121120212022122211212222122
42303020331220210020000
53103143210020023430
642103154024223412
72410253305110263
oct263107550441000
947525278755878
1012310410314240
113a168a7766295
121469a0b60ab68
136b3b3621bb3c
14307b81570cda
1516534e4dbee5
hexb323da24200

12310410314240 has 80 divisors (see below), whose sum is σ = 29518387398720. Its totient is φ = 4923787898880.

The previous prime is 12310410314239. The next prime is 12310410314263. The reversal of 12310410314240 is 4241301401321.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34616051 + ... + 34969869.

It is an arithmetic number, because the mean of its divisors is an integer number (368979842484).

Almost surely, 212310410314240 is an apocalyptic number.

12310410314240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12310410314240 is an abundant number, since it is smaller than the sum of its proper divisors (17207977084480).

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

12310410314240 is an equidigital number, since it uses as much as digits as its factorization.

12310410314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367433 (or 367417 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 12310410314240 its reverse (4241301401321), we get a palindrome (16551711715561).

The spelling of 12310410314240 in words is "twelve trillion, three hundred ten billion, four hundred ten million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 13591 27182 54364 67955 108728 135910 217456 271820 353819 434912 543640 707638 869824 1087280 1415276 1739648 1769095 2174560 2830552 3479296 3538190 4349120 5661104 6958592 7076380 8698240 11322208 14152760 17396480 22644416 28305520 34792960 45288832 56611040 90577664 113222080 181155328 226444160 452888320 905776640 4808754029 9617508058 19235016116 24043770145 38470032232 48087540290 76940064464 96175080580 153880128928 192350161160 307760257856 384700322320 615520515712 769400644640 1231041031424 1538801289280 2462082062848 3077602578560 6155205157120 12310410314240