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440424441204 = 2231123510128439
BaseRepresentation
bin1100110100010110101…
…01111010010101110100
31120002210221021202100220
412122023111322111310
524203442124104304
6534154520134340
743551061660506
oct6321325722564
91502727252326
10440424441204
1115a86812a3a0
12714353073b0
13326bb60bc37
1417460c97d76
15b6ca7c0ad9
hex668b57a574

440424441204 has 96 divisors (see below), whose sum is σ = 1170093496320. Its totient is φ = 127629744000.

The previous prime is 440424441187. The next prime is 440424441293. The reversal of 440424441204 is 402144424044.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15472417 + ... + 15500855.

It is an arithmetic number, because the mean of its divisors is an integer number (12188473920).

Almost surely, 2440424441204 is an apocalyptic number.

440424441204 is a gapful number since it is divisible by the number (44) 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 440424441204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585046748160).

440424441204 is an abundant number, since it is smaller than the sum of its proper divisors (729669055116).

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

440424441204 is a wasteful number, since it uses less digits than its factorization.

440424441204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33581 (or 33579 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 440424441204 its reverse (402144424044), we get a palindrome (842568865248).

The spelling of 440424441204 in words is "four hundred forty billion, four hundred twenty-four million, four hundred forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 5101 10202 15303 20404 28439 30606 56111 56878 61212 85317 112222 113756 117323 168333 170634 224444 234646 312829 336666 341268 351969 469292 625658 654097 673332 703938 938487 1251316 1290553 1308194 1407876 1876974 1962291 2581106 2616388 3753948 3871659 3924582 5162212 7195067 7743318 7849164 14390134 15486636 21585201 28780268 43170402 86340804 145067339 290134678 435202017 580269356 870404034 1595740729 1740808068 3191481458 3336548797 4787222187 6382962916 6673097594 9574444374 10009646391 13346195188 19148888748 20019292782 36702036767 40038585564 73404073534 110106110301 146808147068 220212220602 440424441204