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1424112033300 = 22352111319327179
BaseRepresentation
bin10100101110010011101…
…100010001111000010100
312001010212211000222222020
4110232103230101320110
5141313040140031200
63010121131133140
7204613552361145
oct24562354217024
95033784028866
101424112033300
114a9a65130840
121b00042a41b0
13a43a719abb8
144ccdaa89acc
152709edd0ea0
hex14b93b11e14

1424112033300 has 144 divisors (see below), whose sum is σ = 4498437081600. Its totient is φ = 344976483200.

The previous prime is 1424112033299. The next prime is 1424112033307. The reversal of 1424112033300 is 33302114241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424112033307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4189111 + ... + 4516289.

It is an arithmetic number, because the mean of its divisors is an integer number (31239146400).

Almost surely, 21424112033300 is an apocalyptic number.

1424112033300 is a gapful number since it is divisible by the number (10) 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 1424112033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249218540800).

1424112033300 is an abundant number, since it is smaller than the sum of its proper divisors (3074325048300).

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

1424112033300 is a wasteful number, since it uses less digits than its factorization.

1424112033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328526 (or 328519 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1424112033300 its reverse (33302114241), we get a palindrome (1457414147541).

The spelling of 1424112033300 in words is "one trillion, four hundred twenty-four billion, one hundred twelve million, thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1319 1650 2638 3300 3957 5276 6595 7914 13190 14509 15828 19785 26380 29018 32975 39570 43527 58036 65950 72545 79140 87054 98925 131900 145090 174108 197850 217635 290180 327179 362725 395700 435270 654358 725450 870540 981537 1088175 1308716 1450900 1635895 1963074 2176350 3271790 3598969 3926148 4352700 4907685 6543580 7197938 8179475 9815370 10796907 14395876 16358950 17994845 19630740 21593814 24538425 32717900 35989690 43187628 49076850 53984535 71979380 89974225 98153700 107969070 179948450 215938140 269922675 359896900 431549101 539845350 863098202 1079690700 1294647303 1726196404 2157745505 2589294606 4315491010 4747040111 5178589212 6473236515 8630982020 9494080222 10788727525 12946473030 14241120333 18988160444 21577455050 23735200555 25892946060 28482240666 32366182575 43154910100 47470401110 56964481332 64732365150 71205601665 94940802220 118676002775 129464730300 142411203330 237352005550 284822406660 356028008325 474704011100 712056016650 1424112033300