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23234331214440 = 233457171089881
BaseRepresentation
bin1010100100001101010100…
…00011110000001001101000
310001021011212111020212020000
411102012222003300021220
511021132402242330230
6121225412052503000
74615424246522133
oct522065203601150
9101234774225200
1023234331214440
117448696286505
122732b7661aa60
13cc6cac926078
145a47949b121a
152a45a1a25b60
hex1521aa0f0268

23234331214440 has 80 divisors (see below), whose sum is σ = 78093168814980. Its totient is φ = 6195821656320.

The previous prime is 23234331214439. The next prime is 23234331214483. The reversal of 23234331214440 is 4441213343232.

23234331214440 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 433 + 1 + 214 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23060106784836 + 174224429604 = 4802094^2 + 417402^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23234331214395 and 23234331214404.

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 19 ways as a sum of consecutive naturals, for example, 3585541701 + ... + 3585548180.

Almost surely, 223234331214440 is an apocalyptic number.

23234331214440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23234331214440 is an abundant number, since it is smaller than the sum of its proper divisors (54858837600540).

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

23234331214440 is a wasteful number, since it uses less digits than its factorization.

23234331214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171089904 (or 7171089891 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 23234331214440 its reverse (4441213343232), we get a palindrome (27675544557672).

The spelling of 23234331214440 in words is "twenty-three trillion, two hundred thirty-four billion, three hundred thirty-one million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 7171089881 14342179762 21513269643 28684359524 35855449405 43026539286 57368719048 64539808929 71710898810 86053078572 107566348215 129079617858 143421797620 172106157144 193619426787 215132696430 258159235716 286843595240 322699044645 387238853574 430265392860 516318471432 580858280361 645398089290 774477707148 860530785720 968097133935 1161716560722 1290796178580 1548955414296 1936194267870 2323433121444 2581592357160 2904291401805 3872388535740 4646866242888 5808582803610 7744777071480 11617165607220 23234331214440