Search a number
-
+
40444444440 = 23325891262311
BaseRepresentation
bin100101101010101011…
…010011111100011000
310212101122100122122200
4211222223103330120
51130312234210230
630325132450200
72631152051121
oct455253237430
9125348318580
1040444444440
111617491a7a4
127a08919960
133a7718563a
141d59621048
1510baa29160
hex96aad3f18

40444444440 has 96 divisors (see below), whose sum is σ = 132921453600. Its totient is φ = 10663994880.

The previous prime is 40444444433. The next prime is 40444444457. The reversal of 40444444440 is 4444444404.

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 = 40444444395 and 40444444404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599116 + ... + 663195.

It is an arithmetic number, because the mean of its divisors is an integer number (1384598475).

Almost surely, 240444444440 is an apocalyptic number.

40444444440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444444440 is an abundant number, since it is smaller than the sum of its proper divisors (92477009160).

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

40444444440 is a wasteful number, since it uses less digits than its factorization.

40444444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262417 (or 1262410 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Subtracting from 40444444440 its sum of digits (36), we obtain a palindrome (40444444404).

Adding to 40444444440 its reverse (4444444404), we get a palindrome (44888888844).

The spelling of 40444444440 in words is "forty billion, four hundred forty-four million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1780 2136 2670 3204 3560 4005 5340 6408 8010 10680 16020 32040 1262311 2524622 3786933 5049244 6311555 7573866 10098488 11360799 12623110 15147732 18934665 22721598 25246220 30295464 37869330 45443196 50492440 56803995 75738660 90886392 112345679 113607990 151477320 224691358 227215980 337037037 449382716 454431960 561728395 674074074 898765432 1011111111 1123456790 1348148148 1685185185 2022222222 2246913580 2696296296 3370370370 4044444444 4493827160 5055555555 6740740740 8088888888 10111111110 13481481480 20222222220 40444444440