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1231340505344 = 28172571100921
BaseRepresentation
bin10001111010110001100…
…111010000100100000000
311100201022020101201222122
4101322301213100210000
5130133241132132334
62341400420223412
7154650523413515
oct21726147204400
94321266351878
101231340505344
11435232683684
1217a78553ab68
138c1655ca621
14438509d930c
152206b35632e
hex11eb19d0900

1231340505344 has 72 divisors (see below), whose sum is σ = 2612580383448. Its totient is φ = 577199144960.

The previous prime is 1231340505341. The next prime is 1231340505389. The reversal of 1231340505344 is 4435050431321.

It can be written as a sum of positive squares in 4 ways, for example, as 1007694745600 + 223645759744 = 1003840^2 + 472912^2 .

It is not an unprimeable number, because it can be changed into a prime (1231340505341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568004 + ... + 1668924.

It is an arithmetic number, because the mean of its divisors is an integer number (36285838659).

Almost surely, 21231340505344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231340505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306290191724).

1231340505344 is an abundant number, since it is smaller than the sum of its proper divisors (1381239878104).

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

1231340505344 is a wasteful number, since it uses less digits than its factorization.

1231340505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101211 (or 1101197 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 1231340505344 its reverse (4435050431321), we get a palindrome (5666390936665).

The spelling of 1231340505344 in words is "one trillion, two hundred thirty-one billion, three hundred forty million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 257 272 514 544 1028 1088 2056 2176 4112 4352 4369 8224 8738 16448 17476 32896 34952 65792 69904 139808 279616 559232 1100921 1118464 2201842 4403684 8807368 17614736 18715657 35229472 37431314 70458944 74862628 140917888 149725256 281835776 282936697 299450512 565873394 598901024 1131746788 1197802048 2263493576 2395604096 4526987152 4791208192 4809923849 9053974304 9619847698 18107948608 19239695396 36215897216 38479390792 72431794432 76958781584 153917563168 307835126336 615670252672 1231340505344