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14440132423000 = 23531033136110271
BaseRepresentation
bin1101001000100001101011…
…1101101010110101011000
31220010110111122201122110101
43102020122331222311120
53343041342400014000
650413412200225144
73020156641254214
oct322103275526530
956113448648411
1014440132423000
114668031332419
12175271716b1b4
13809910bcb13b
1437cc9862d944
151a094ac39e6a
hexd221af6ad58

14440132423000 has 128 divisors (see below), whose sum is σ = 33850767075840. Its totient is φ = 5765660160000.

The previous prime is 14440132422959. The next prime is 14440132423009. The reversal of 14440132423000 is 32423104441.

14440132423000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14440132423000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14440132423009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1405907865 + ... + 1405918135.

It is an arithmetic number, because the mean of its divisors is an integer number (264459117780).

Almost surely, 214440132423000 is an apocalyptic number.

14440132423000 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 14440132423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925383537920).

14440132423000 is an abundant number, since it is smaller than the sum of its proper divisors (19410634652840).

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

14440132423000 is a wasteful number, since it uses less digits than its factorization.

14440132423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12686 (or 12672 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14440132423000 its reverse (32423104441), we get a palindrome (14472555527441).

The spelling of 14440132423000 in words is "fourteen trillion, four hundred forty billion, one hundred thirty-two million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1033 1361 2066 2722 4132 5165 5444 6805 8264 10271 10330 10888 13610 20542 20660 25825 27220 34025 41084 41320 51355 51650 54440 68050 82168 102710 103300 129125 136100 170125 205420 206600 256775 258250 272200 340250 410840 513550 516500 680500 1027100 1033000 1283875 1361000 1405913 2054200 2567750 2811826 5135500 5623652 7029565 10271000 10609943 11247304 13978831 14059130 21219886 27957662 28118260 35147825 42439772 53049715 55915324 56236520 69894155 70295650 84879544 106099430 111830648 139788310 140591300 175739125 212198860 265248575 279576620 281182600 349470775 351478250 424397720 530497150 559153240 698941550 702956500 1060994300 1326242875 1397883100 1405913000 1747353875 2121988600 2652485750 2795766200 3494707750 5304971500 6989415500 10609943000 13978831000 14440132423 28880264846 57760529692 72200662115 115521059384 144401324230 288802648460 361003310575 577605296920 722006621150 1444013242300 1805016552875 2888026484600 3610033105750 7220066211500 14440132423000