Search a number
-
+
440022141316120 = 235115783172929331
BaseRepresentation
bin110010000001100101010001…
…1011011010010110000011000
32010200222201001120222112012111
41210003022203123102300120
5430133310321134103440
64155503214152322104
7161453356601046166
oct14403124333226030
92120881046875174
10440022141316120
11118228384468230
12414272a49a3334
1315b6abaa0158ac
147a9328456c236
1535d0ebba904ea
hex19032a36d2c18

440022141316120 has 64 divisors (see below), whose sum is σ = 1080241116791040. Its totient is φ = 159980381769600.

The previous prime is 440022141316067. The next prime is 440022141316133. The reversal of 440022141316120 is 21613141220044.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83920146 + ... + 89009185.

It is an arithmetic number, because the mean of its divisors is an integer number (16878767449860).

Almost surely, 2440022141316120 is an apocalyptic number.

440022141316120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440022141316120 is an abundant number, since it is smaller than the sum of its proper divisors (640218975474920).

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

440022141316120 is a wasteful number, since it uses less digits than its factorization.

440022141316120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172935136 (or 172935132 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 440022141316120 its reverse (21613141220044), we get a palindrome (461635282536164).

The spelling of 440022141316120 in words is "four hundred forty trillion, twenty-two billion, one hundred forty-one million, three hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5783 11566 23132 28915 46264 57830 63613 115660 127226 231320 254452 318065 508904 636130 1272260 2544520 172929331 345858662 691717324 864646655 1383434648 1729293310 1902222641 3458586620 3804445282 6917173240 7608890564 9511113205 15217781128 19022226410 38044452820 76088905640 1000050321173 2000100642346 4000201284692 5000251605865 8000402569384 10000503211730 11000553532903 20001006423460 22001107065806 40002012846920 44002214131612 55002767664515 88004428263224 110005535329030 220011070658060 440022141316120