Search a number
-
+
40344334215444 = 22337232320240063
BaseRepresentation
bin10010010110001011001011…
…01101011010100100010100
312021211212210000111112102000
421023011211231122210110
520242000144024343234
6221445533053315300
711332532132426460
oct1113054555324424
9167755700445360
1040344334215444
1111944a32987646
124637003a95b30
1319685ba3b7a3c
149d696769b4a0
1549e6ae654899
hex24b165b5a914

40344334215444 has 96 divisors (see below), whose sum is σ = 124736105840640. Its totient is φ = 11025780774624.

The previous prime is 40344334215443. The next prime is 40344334215461. The reversal of 40344334215444 is 44451243344304.

40344334215444 is a `hidden beast` number, since 4 + 0 + 34 + 4 + 33 + 42 + 1 + 544 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40344334215444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40344334215443) 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, 1160102644 + ... + 1160137419.

It is an arithmetic number, because the mean of its divisors is an integer number (1299334435840).

Almost surely, 240344334215444 is an apocalyptic number.

It is an amenable number.

40344334215444 is an abundant number, since it is smaller than the sum of its proper divisors (84391771625196).

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

40344334215444 is a wasteful number, since it uses less digits than its factorization.

40344334215444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320240106 (or 2320240098 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 45.

Adding to 40344334215444 its reverse (44451243344304), we get a palindrome (84795577559748).

The spelling of 40344334215444 in words is "forty trillion, three hundred forty-four billion, three hundred thirty-four million, two hundred fifteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1932 2484 2898 4347 5796 8694 17388 2320240063 4640480126 6960720189 9280960252 13921440378 16241680441 20882160567 27842880756 32483360882 41764321134 48725041323 53365521449 62646481701 64966721764 83528642268 97450082646 106731042898 125292963402 146175123969 160096564347 194900165292 213462085796 250585926804 292350247938 320193128694 373558650143 438525371907 480289693041 584700495876 640386257388 747117300286 877050743814 960579386082 1120675950429 1440869079123 1494234600572 1754101487628 1921158772164 2241351900858 2881738158246 3362027851287 4482703801716 5763476316492 6724055702574 10086083553861 13448111405148 20172167107722 40344334215444