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145431441434420 = 22564491127550329
BaseRepresentation
bin100001000100010011100101…
…011001111110011100110100
3201001221002222012112101200022
4201010103211121332130310
5123030222043001400140
61233150140514504312
742430034456524631
oct4104234531763464
9631832865471608
10145431441434420
1142380145333149
1214389707595098
13631c18400325b
1427cacc289b188
1511c3013a5c0b5
hex8444e567e734

145431441434420 has 24 divisors (see below), whose sum is σ = 305453384397000. Its totient is φ = 58163556119552.

The previous prime is 145431441434413. The next prime is 145431441434497. The reversal of 145431441434420 is 24434144134541.

It can be written as a sum of positive squares in 4 ways, for example, as 64284026423824 + 81147415010596 = 8017732^2 + 9008186^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 563646185 + ... + 563904144.

It is an arithmetic number, because the mean of its divisors is an integer number (12727224349875).

Almost surely, 2145431441434420 is an apocalyptic number.

145431441434420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145431441434420 is an abundant number, since it is smaller than the sum of its proper divisors (160021942962580).

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

145431441434420 is a wasteful number, since it uses less digits than its factorization.

145431441434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127556787 (or 1127556785 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 44.

Adding to 145431441434420 its reverse (24434144134541), we get a palindrome (169865585568961).

The spelling of 145431441434420 in words is "one hundred forty-five trillion, four hundred thirty-one billion, four hundred forty-one million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 6449 12898 25796 32245 64490 128980 1127550329 2255100658 4510201316 5637751645 11275503290 22551006580 7271572071721 14543144143442 29086288286884 36357860358605 72715720717210 145431441434420