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44135253144 = 23325711073537
BaseRepresentation
bin101001000110101010…
…101000010010011000
311012220212021011101100
4221012222220102120
51210342111100034
632135255351400
73121466314263
oct510652502230
9135825234340
1044135253144
1117799221a24
128678982560
134214a0b808
1421c988bcda
151234a77099
hexa46aa8498

44135253144 has 48 divisors (see below), whose sum is σ = 119742428520. Its totient is φ = 14685972480.

The previous prime is 44135253131. The next prime is 44135253179.

44135253144 is a `hidden beast` number, since 4 + 413 + 52 + 53 + 144 = 666.

44135253144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44135253099 and 44135253108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495657 + ... + 577880.

Almost surely, 244135253144 is an apocalyptic number.

It is an amenable number.

44135253144 is an abundant number, since it is smaller than the sum of its proper divisors (75607175376).

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

44135253144 is a wasteful number, since it uses less digits than its factorization.

44135253144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074120 (or 1074113 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 44135253144 in words is "forty-four billion, one hundred thirty-five million, two hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 571 1142 1713 2284 3426 4568 5139 6852 10278 13704 20556 41112 1073537 2147074 3220611 4294148 6441222 8588296 9661833 12882444 19323666 25764888 38647332 77294664 612989627 1225979254 1838968881 2451958508 3677937762 4903917016 5516906643 7355875524 11033813286 14711751048 22067626572 44135253144