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345145141431 = 322312647131839
BaseRepresentation
bin1010000010111000100…
…00001110100010110111
31012222212202110211102100
411001130100032202313
521123324124011211
6422320230113143
733636006203436
oct5013420164267
91188782424370
10345145141431
11123414486242
1256a844ab7b3
1326715b2a34c
14129c2b9311d
158ea0c1c156
hex505c40e8b7

345145141431 has 24 divisors (see below), whose sum is σ = 520263843840. Its totient is φ = 220073481936.

The previous prime is 345145141423. The next prime is 345145141463. The reversal of 345145141431 is 134141541543.

345145141431 is a `hidden beast` number, since 3 + 45 + 1 + 45 + 141 + 431 = 666.

It is not a de Polignac number, because 345145141431 - 23 = 345145141423 is a prime.

It is a super-2 number, since 2×3451451414312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345145141531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2552010 + ... + 2683848.

It is an arithmetic number, because the mean of its divisors is an integer number (21677660160).

Almost surely, 2345145141431 is an apocalyptic number.

345145141431 is a deficient number, since it is larger than the sum of its proper divisors (175118702409).

345145141431 is a wasteful number, since it uses less digits than its factorization.

345145141431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144515 (or 144512 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 345145141431 its reverse (134141541543), we get a palindrome (479286682974).

The spelling of 345145141431 in words is "three hundred forty-five billion, one hundred forty-five million, one hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 23 69 207 12647 37941 113823 131839 290881 395517 872643 1186551 2617929 3032297 9096891 27290673 1667367833 5002103499 15006310497 38349460159 115048380477 345145141431