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44134102432305 = 3251516989992921
BaseRepresentation
bin10100000100011110001010…
…11111110111101000110001
312210021011211111000010000200
422002033011133313220301
521241043120210313210
6233510532102505413
712203404125653214
oct1202170537675061
9183234744003020
1044134102432305
1113076193281996
124b49599735269
131b81a9c172052
14ac815da9d77b
15518068c960c0
hex2823c57f7a31

44134102432305 has 48 divisors (see below), whose sum is σ = 77007657916800. Its totient is φ = 23381719776000.

The previous prime is 44134102432283. The next prime is 44134102432309. The reversal of 44134102432305 is 50323420143144.

44134102432305 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 410 + 2 + 4 + 3 + 230 + 5 = 666.

It is not a de Polignac number, because 44134102432305 - 224 = 44134085655089 is a prime.

It is a super-2 number, since 2×441341024323052 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44134102432305.

It is not an unprimeable number, because it can be changed into a prime (44134102432309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474917245 + ... + 475010165.

It is an arithmetic number, because the mean of its divisors is an integer number (1604326206600).

Almost surely, 244134102432305 is an apocalyptic number.

44134102432305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44134102432305 is a deficient number, since it is larger than the sum of its proper divisors (32873555484495).

44134102432305 is a wasteful number, since it uses less digits than its factorization.

44134102432305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162982 (or 162979 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 44134102432305 its reverse (50323420143144), we get a palindrome (94457522575449).

The spelling of 44134102432305 in words is "forty-four trillion, one hundred thirty-four billion, one hundred two million, four hundred thirty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 45 151 453 755 1359 2265 6795 69899 92921 209697 278763 349495 464605 629091 836289 1048485 1393815 3145455 4181445 10554749 14031071 31664247 42093213 52773745 70155355 94992741 126279639 158321235 210466065 474963705 631398195 6495084979 19485254937 32475424895 58455764811 97426274685 292278824055 980757831829 2942273495487 4903789159145 8826820486461 14711367477435 44134102432305