Search a number
-
+
44041011432 = 233112311364187
BaseRepresentation
bin101001000001000011…
…001000000011101000
311012200021221012001120
4221001003020003220
51210143444331212
632122051415240
73116243264145
oct510103100350
9135607835046
1044041011432
1117750003810
1286512b4520
1341cb332ca2
1421bb1593cc
15122b65d88c
hexa410c80e8

44041011432 has 128 divisors (see below), whose sum is σ = 126445224960. Its totient is φ = 12652344320.

The previous prime is 44041011419. The next prime is 44041011433. The reversal of 44041011432 is 23411014044.

It is a super-2 number, since 2×440410114322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (44041011433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654043 + ... + 718229.

It is an arithmetic number, because the mean of its divisors is an integer number (987853320).

Almost surely, 244041011432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44041011432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63222612480).

44041011432 is an abundant number, since it is smaller than the sum of its proper divisors (82404213528).

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

44041011432 is a wasteful number, since it uses less digits than its factorization.

44041011432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64343 (or 64339 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 44041011432 its reverse (23411014044), we get a palindrome (67452025476).

The spelling of 44041011432 in words is "forty-four billion, forty-one million, eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 113 132 138 184 226 253 264 276 339 452 506 552 678 759 904 1012 1243 1356 1518 2024 2486 2599 2712 3036 3729 4972 5198 6072 7458 7797 9944 10396 14916 15594 20792 28589 29832 31188 57178 62376 64187 85767 114356 128374 171534 192561 228712 256748 343068 385122 513496 686136 706057 770244 1412114 1476301 1540488 2118171 2824228 2952602 4236342 4428903 5648456 5905204 7253131 8472684 8857806 11810408 14506262 16239311 16945368 17715612 21759393 29012524 32478622 35431224 43518786 48717933 58025048 64957244 79784441 87037572 97435866 129914488 159568882 166822013 174075144 194871732 239353323 319137764 333644026 389743464 478706646 500466039 638275528 667288052 957413292 1000932078 1334576104 1835042143 1914826584 2001864156 3670084286 4003728312 5505126429 7340168572 11010252858 14680337144 22020505716 44041011432