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144435115531005 = 35134411116791569
BaseRepresentation
bin100000110101110011101011…
…110000010001101011111101
3200221101212021112120102012120
4200311303223300101223331
5122412411104033443010
61231104324232553153
742265043544215505
oct4065635360215375
9627355245512176
10144435115531005
1142026652335412
12142485abb527b9
136279232c8bb80
1427949a83b0a05
1511a714eb41e70
hex835cebc11afd

144435115531005 has 32 divisors (see below), whose sum is σ = 248878471242240. Its totient is φ = 71104902190080.

The previous prime is 144435115530989. The next prime is 144435115531043. The reversal of 144435115531005 is 500135511534441.

It is not a de Polignac number, because 144435115531005 - 24 = 144435115530989 is a prime.

It is a super-3 number, since 3×1444351155310053 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205861 + ... + 16997429.

It is an arithmetic number, because the mean of its divisors is an integer number (7777452226320).

Almost surely, 2144435115531005 is an apocalyptic number.

144435115531005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144435115531005 is a deficient number, since it is larger than the sum of its proper divisors (104443355711235).

144435115531005 is a wasteful number, since it uses less digits than its factorization.

144435115531005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16835701.

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 144435115531005 in words is "one hundred forty-four trillion, four hundred thirty-five billion, one hundred fifteen million, five hundred thirty-one thousand, five".

Divisors: 1 3 5 13 15 39 65 195 44111 132333 220555 573443 661665 1720329 2867215 8601645 16791569 50374707 83957845 218290397 251873535 654871191 1091451985 3274355955 740692900159 2222078700477 3703464500795 9629007702067 11110393502385 28887023106201 48145038510335 144435115531005