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340431122014224 = 24315791614931119
BaseRepresentation
bin100110101100111101100110…
…0000110010010000000010000
31122122100220020020000002200220
41031121323030012102000100
5324110110414213423344
63204011522021313040
7131464223363305143
oct11531731406220020
91578326206002626
10340431122014224
11995210343a08aa
12322219b9b65780
13117c5694c90837
14600cd5054c05a
1529555dc331c19
hex1359ecc192010

340431122014224 has 80 divisors (see below), whose sum is σ = 885145428852480. Its totient is φ = 112741926036480.

The previous prime is 340431122014171. The next prime is 340431122014229. The reversal of 340431122014224 is 422410221134043.

It is not an unprimeable number, because it can be changed into a prime (340431122014229) by changing a digit.

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, 66571737 + ... + 71502855.

It is an arithmetic number, because the mean of its divisors is an integer number (11064317860656).

Almost surely, 2340431122014224 is an apocalyptic number.

It is an amenable number.

340431122014224 is an abundant number, since it is smaller than the sum of its proper divisors (544714306838256).

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

340431122014224 is a wasteful number, since it uses less digits than its factorization.

340431122014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940448 (or 4940442 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 340431122014224 its reverse (422410221134043), we get a palindrome (762841343148267).

The spelling of 340431122014224 in words is "three hundred forty trillion, four hundred thirty-one billion, one hundred twenty-two million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 314 471 628 942 1256 1884 2512 3768 7536 9161 18322 27483 36644 54966 73288 109932 146576 219864 439728 1438277 2876554 4314831 4931119 5753108 8629662 9862238 11506216 14793357 17259324 19724476 23012432 29586714 34518648 39448952 59173428 69037296 78897904 118346856 236693712 774185683 1548371366 2322557049 3096742732 4645114098 6193485464 9290228196 12386970928 18580456392 37160912784 45173981159 90347962318 135521943477 180695924636 271043886954 361391849272 542087773908 722783698544 1084175547816 2168351095632 7092315041963 14184630083926 21276945125889 28369260167852 42553890251778 56738520335704 85107780503556 113477040671408 170215561007112 340431122014224