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10044324405 = 345731811877
BaseRepresentation
bin10010101101011000…
…00011101000110101
3221221000011112210000
421112230003220311
5131032321340110
64340404421513
7503623230423
oct112654035065
927830145700
1010044324405
114294839655
121b439a7899
13c40c3942b
146b3dc0113
153dbc161c0
hex256b03a35

10044324405 has 80 divisors (see below), whose sum is σ = 18362648304. Its totient is φ = 5251599360.

The previous prime is 10044324403. The next prime is 10044324427. The reversal of 10044324405 is 50442344001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 955180836 + 9089143569 = 30906^2 + 95337^2 .

It is not a de Polignac number, because 10044324405 - 21 = 10044324403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044324403) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5350327 + ... + 5352203.

Almost surely, 210044324405 is an apocalyptic number.

10044324405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10044324405 is a deficient number, since it is larger than the sum of its proper divisors (8318323899).

10044324405 is a wasteful number, since it uses less digits than its factorization.

10044324405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10044324405 its reverse (50442344001), we get a palindrome (60486668406).

The spelling of 10044324405 in words is "ten billion, forty-four million, three hundred twenty-four thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 73 81 135 181 219 365 405 543 657 905 1095 1629 1877 1971 2715 3285 4887 5631 5913 8145 9385 9855 13213 14661 16893 24435 28155 29565 39639 50679 66065 73305 84465 118917 137021 152037 198195 253395 339737 356751 411063 594585 685105 760185 1019211 1070253 1233189 1698685 1783755 2055315 3057633 3699567 5096055 5351265 6165945 9172899 11098701 15288165 18497835 24800801 27518697 45864495 55493505 74402403 124004005 137593485 223207209 372012015 669621627 1116036045 2008864881 3348108135 10044324405