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40344210013240 = 2357260134249219
BaseRepresentation
bin10010010110001010111100…
…10011100111110000111000
312021211212110100210102000101
421023011132103213300320
520241444420230410430
6221445512455245144
711332526063634100
oct1113053623476070
9167755410712011
1040344210013240
11119449798656a1
124636b8a3797b4
13196859a74c203
149d6954daa200
1549e6a37bddca
hex24b15e4e7c38

40344210013240 has 96 divisors (see below), whose sum is σ = 105770496157200. Its totient is φ = 13809284697600.

The previous prime is 40344210013223. The next prime is 40344210013369. The reversal of 40344210013240 is 4231001244304.

40344210013240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40344210013199 and 40344210013208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15946650 + ... + 18302569.

Almost surely, 240344210013240 is an apocalyptic number.

40344210013240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40344210013240 is an abundant number, since it is smaller than the sum of its proper divisors (65426286143960).

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

40344210013240 is a wasteful number, since it uses less digits than its factorization.

40344210013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34249845 (or 34249834 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 40344210013240 its reverse (4231001244304), we get a palindrome (44575211257544).

The spelling of 40344210013240 in words is "forty trillion, three hundred forty-four billion, two hundred ten million, thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 601 980 1202 1960 2404 3005 4207 4808 6010 8414 12020 16828 21035 24040 29449 33656 42070 58898 84140 117796 147245 168280 235592 294490 588980 1177960 34249219 68498438 136996876 171246095 239744533 273993752 342492190 479489066 684984380 958978132 1198722665 1369968760 1678211731 1917956264 2397445330 3356423462 4794890660 6712846924 8391058655 9589781320 13425693848 16782117310 20583780619 33564234620 41167561238 67128469240 82335122476 102918903095 144086464333 164670244952 205837806190 288172928666 411675612380 576345857332 720432321665 823351224760 1008605250331 1152691714664 1440864643330 2017210500662 2881729286660 4034421001324 5043026251655 5763458573320 8068842002648 10086052503310 20172105006620 40344210013240