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432120314345 = 5208941371021
BaseRepresentation
bin1100100100111000110…
…00001011100111101001
31112022101012121101211212
412102130120023213221
524034440300024340
6530302514002505
743135226032226
oct6223430134751
91468335541755
10432120314345
11157296719a35
126b8b8276435
13319970847c5
1416cb406494d
15b39174da65
hex649c60b9e9

432120314345 has 8 divisors (see below), whose sum is σ = 518792615880. Its totient is φ = 345530759040.

The previous prime is 432120314317. The next prime is 432120314347. The reversal of 432120314345 is 543413021234.

It can be written as a sum of positive squares in 4 ways, for example, as 205488142864 + 226632171481 = 453308^2 + 476059^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 432120314345 - 222 = 432116120041 is a prime.

It is a super-2 number, since 2×4321203143452 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (432120314347) 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 7 ways as a sum of consecutive naturals, for example, 20675066 + ... + 20695955.

It is an arithmetic number, because the mean of its divisors is an integer number (64849076985).

Almost surely, 2432120314345 is an apocalyptic number.

It is an amenable number.

432120314345 is a deficient number, since it is larger than the sum of its proper divisors (86672301535).

432120314345 is a wasteful number, since it uses less digits than its factorization.

432120314345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41373115.

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 432120314345 its reverse (543413021234), we get a palindrome (975533335579).

The spelling of 432120314345 in words is "four hundred thirty-two billion, one hundred twenty million, three hundred fourteen thousand, three hundred forty-five".

Divisors: 1 5 2089 10445 41371021 206855105 86424062869 432120314345