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14401044200040 = 233510110910900963
BaseRepresentation
bin1101000110010000000100…
…0111111011101001101000
31212222201121112100011220220
43101210001013323221220
53341421314303400130
650343425352050040
73014304204662421
oct321440107735150
955881545304826
1014401044200040
1146524a301aa23
121747028693920
13806021a06924
1437b02b1a6648
1519e90e309410
hexd19011fba68

14401044200040 has 128 divisors (see below), whose sum is σ = 44031173788800. Its totient is φ = 3767372467200.

The previous prime is 14401044200033. The next prime is 14401044200069. The reversal of 14401044200040 is 4000244010441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4129402 + ... + 6771561.

It is an arithmetic number, because the mean of its divisors is an integer number (343993545225).

Almost surely, 214401044200040 is an apocalyptic number.

14401044200040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14401044200040 is an abundant number, since it is smaller than the sum of its proper divisors (29630129588760).

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

14401044200040 is a wasteful number, since it uses less digits than its factorization.

14401044200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10901187 (or 10901183 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14401044200040 its reverse (4000244010441), we get a palindrome (18401288210481).

The spelling of 14401044200040 in words is "fourteen trillion, four hundred one billion, forty-four million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 109 120 202 218 303 327 404 436 505 545 606 654 808 872 1010 1090 1212 1308 1515 1635 2020 2180 2424 2616 3030 3270 4040 4360 6060 6540 11009 12120 13080 22018 33027 44036 55045 66054 88072 110090 132108 165135 220180 264216 330270 440360 660540 1321080 10900963 21801926 32702889 43603852 54504815 65405778 87207704 109009630 130811556 163514445 218019260 261623112 327028890 436038520 654057780 1100997263 1188204967 1308115560 2201994526 2376409934 3302991789 3564614901 4403989052 4752819868 5504986315 5941024835 6605983578 7129229802 8807978104 9505639736 11009972630 11882049670 13211967156 14258459604 16514958945 17823074505 22019945260 23764099340 26423934312 28516919208 33029917890 35646149010 44039890520 47528198680 66059835780 71292298020 120008701667 132119671560 142584596040 240017403334 360026105001 480034806668 600043508335 720052210002 960069613336 1200087016670 1440104420004 1800130525005 2400174033340 2880208840008 3600261050010 4800348066680 7200522100020 14401044200040