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405142141037 is a prime number
BaseRepresentation
bin1011110010101000101…
…10100111100001101101
31102201202001102012101212
411321110112213201231
523114212342003122
6510041510044205
741161541243564
oct5712426474155
91381661365355
10405142141037
111469021a4037
1266629349665
132c287a7694a
14158750a4bdb
15a81307ace2
hex5e545a786d

405142141037 has 2 divisors, whose sum is σ = 405142141038. Its totient is φ = 405142141036.

The previous prime is 405142140989. The next prime is 405142141043. The reversal of 405142141037 is 730141241504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405139888036 + 2253001 = 636506^2 + 1501^2 .

It is a cyclic number.

It is not a de Polignac number, because 405142141037 - 26 = 405142140973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405142140994 and 405142141012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405142141097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202571070518 + 202571070519.

It is an arithmetic number, because the mean of its divisors is an integer number (202571070519).

Almost surely, 2405142141037 is an apocalyptic number.

It is an amenable number.

405142141037 is a deficient number, since it is larger than the sum of its proper divisors (1).

405142141037 is an equidigital number, since it uses as much as digits as its factorization.

405142141037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 405142141037 in words is "four hundred five billion, one hundred forty-two million, one hundred forty-one thousand, thirty-seven".