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144105553133037 = 342467077211311
BaseRepresentation
bin100000110001000000110000…
…010011011111110111101101
3200220020100121202202222020000
4200301000300103133313231
5122342011133100224122
61230253102135014513
742232165642106016
oct4061006023376755
9626210552688200
10144105553133037
1141a09904a12a61
12141b475620a439
1362541316439b2
142782a62db600d
15119d7b1e990ac
hex8310304dfded

144105553133037 has 20 divisors (see below), whose sum is σ = 215269691668416. Its totient is φ = 96069966022440.

The previous prime is 144105553133021. The next prime is 144105553133071. The reversal of 144105553133037 is 730331355501441.

144105553133037 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 0 + 55 + 531 + 3 + 30 + 37 = 666.

It is not a de Polignac number, because 144105553133037 - 24 = 144105553133021 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 144105553132983 and 144105553133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144105553173037) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 16377612 + ... + 23588922.

Almost surely, 2144105553133037 is an apocalyptic number.

It is an amenable number.

144105553133037 is a deficient number, since it is larger than the sum of its proper divisors (71164138535379).

144105553133037 is an equidigital number, since it uses as much as digits as its factorization.

144105553133037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7458030 (or 7458021 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 144105553133037 in words is "one hundred forty-four trillion, one hundred five billion, five hundred fifty-three million, one hundred thirty-three thousand, thirty-seven".

Divisors: 1 3 9 27 81 246707 740121 2220363 6661089 7211311 19983267 21633933 64901799 194705397 584116191 1779080902877 5337242708631 16011728125893 48035184377679 144105553133037