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40423233200 = 2452714999631
BaseRepresentation
bin100101101001011010…
…011001011010110000
310212100011110000022012
4211221122121122300
51130241321430300
630323054102052
72630503545560
oct455132313260
9125304400265
1040423233200
1116163952449
127a017aa928
133a72969acc
141d5689cda0
1510b8c39435
hex9696996b0

40423233200 has 120 divisors (see below), whose sum is σ = 111076224000. Its totient is φ = 13848710400.

The previous prime is 40423233173. The next prime is 40423233247. The reversal of 40423233200 is 233232404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4192385 + ... + 4202015.

It is an arithmetic number, because the mean of its divisors is an integer number (925635200).

Almost surely, 240423233200 is an apocalyptic number.

40423233200 is a gapful number since it is divisible by the number (40) 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 40423233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55538112000).

40423233200 is an abundant number, since it is smaller than the sum of its proper divisors (70652990800).

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

40423233200 is a wasteful number, since it uses less digits than its factorization.

40423233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11155 (or 11144 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 40423233200 its reverse (233232404), we get a palindrome (40656465604).

The spelling of 40423233200 in words is "forty billion, four hundred twenty-three million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 1499 2800 2998 5996 7495 9631 10493 11992 14990 19262 20986 23984 29980 37475 38524 41972 48155 52465 59960 67417 74950 77048 83944 96310 104930 119920 134834 149900 154096 167888 192620 209860 240775 262325 269668 299800 337085 385240 419720 481550 524650 539336 599600 674170 770480 839440 963100 1049300 1078672 1348340 1685425 1926200 2098600 2696680 3370850 3852400 4197200 5393360 6741700 13483400 14436869 26966800 28873738 57747476 72184345 101058083 115494952 144368690 202116166 230989904 288737380 360921725 404232332 505290415 577474760 721843450 808464664 1010580830 1154949520 1443686900 1616929328 2021161660 2526452075 2887373800 4042323320 5052904150 5774747600 8084646640 10105808300 20211616600 40423233200