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2044400040 = 233357325931
BaseRepresentation
bin111100111011011…
…0001000110101000
312021110220021122000
41321312301012220
513141331300130
6534510331000
7101443053654
oct17166610650
95243807560
102044400040
1195a013011
124907b9a60
13267721887
14155735a64
15be733260
hex79db11a8

2044400040 has 128 divisors (see below), whose sum is σ = 6908284800. Its totient is φ = 537684480.

The previous prime is 2044400021. The next prime is 2044400047. The reversal of 2044400040 is 400044402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2044399986 and 2044400022.

It is not an unprimeable number, because it can be changed into a prime (2044400047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65875 + ... + 91805.

It is an arithmetic number, because the mean of its divisors is an integer number (53970975).

Almost surely, 22044400040 is an apocalyptic number.

2044400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454142400).

2044400040 is an abundant number, since it is smaller than the sum of its proper divisors (4863884760).

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

2044400040 is a wasteful number, since it uses less digits than its factorization.

2044400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26024 (or 26014 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2044400040 is about 45215.0421873075. The cubic root of 2044400040 is about 1269.1763191899.

Adding to 2044400040 its reverse (400044402), we get a palindrome (2444444442).

The spelling of 2044400040 in words is "two billion, forty-four million, four hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 90 108 120 135 146 180 216 219 270 292 360 365 438 540 584 657 730 876 1080 1095 1314 1460 1752 1971 2190 2628 2920 3285 3942 4380 5256 6570 7884 8760 9855 13140 15768 19710 25931 26280 39420 51862 77793 78840 103724 129655 155586 207448 233379 259310 311172 388965 466758 518620 622344 700137 777930 933516 1037240 1166895 1400274 1555860 1867032 1892963 2333790 2800548 3111720 3500685 3785926 4667580 5601096 5678889 7001370 7571852 9335160 9464815 11357778 14002740 15143704 17036667 18929630 22715556 28005480 28394445 34073334 37859260 45431112 51110001 56788890 68146668 75718520 85183335 102220002 113577780 136293336 170366670 204440004 227155560 255550005 340733340 408880008 511100010 681466680 1022200020 2044400040