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144132422231000 = 2353724359845287
BaseRepresentation
bin100000110001011001110001…
…110100111110001111011000
3200220022220222022201120102102
4200301121301310332033120
5122342431200042343000
61230313304245022532
742234136533503420
oct4061316164761730
9626286868646372
10144132422231000
1141a1a242908a45
12141b99b46b4a48
136256824181328
1427840916a1480
15119e335cc33d5
hex831671d3e3d8

144132422231000 has 128 divisors (see below), whose sum is σ = 385467557529600. Its totient is φ = 49414743331200.

The previous prime is 144132422230943. The next prime is 144132422231027. The reversal of 144132422231000 is 132224231441.

144132422231000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1441324222310002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 170090357 + ... + 170935643.

It is an arithmetic number, because the mean of its divisors is an integer number (3011465293200).

Almost surely, 2144132422231000 is an apocalyptic number.

144132422231000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144132422231000 is an abundant number, since it is smaller than the sum of its proper divisors (241335135298600).

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

144132422231000 is a wasteful number, since it uses less digits than its factorization.

144132422231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869674 (or 869660 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 144132422231000 its reverse (132224231441), we get a palindrome (144264646462441).

The spelling of 144132422231000 in words is "one hundred forty-four trillion, one hundred thirty-two billion, four hundred twenty-two million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 24359 48718 97436 121795 170513 194872 243590 341026 487180 608975 682052 845287 852565 974360 1217950 1364104 1690574 1705130 2435900 3044875 3381148 3410260 4226435 4262825 4871800 5917009 6089750 6762296 6820520 8452870 8525650 11834018 12179500 16905740 17051300 21132175 21314125 23668036 24359000 29585045 33811480 34102600 42264350 42628250 47336072 59170090 84528700 85256500 105660875 118340180 147925225 169057400 170513000 211321750 236680360 295850450 422643500 591700900 739626125 845287000 1183401800 1479252250 2958504500 5917009000 20590346033 41180692066 82361384132 102951730165 144132422231 164722768264 205903460330 288264844462 411806920660 514758650825 576529688924 720662111155 823613841320 1029517301650 1153059377848 1441324222310 2059034603300 2573793254125 2882648444620 3603310555775 4118069206600 5147586508250 5765296889240 7206621111550 10295173016500 14413242223100 18016552778875 20590346033000 28826484446200 36033105557750 72066211115500 144132422231000