Search a number
-
+
144042203454000 = 24353231043784083
BaseRepresentation
bin100000110000000101110000…
…010111101001101000110000
3200220000022002211011211200020
4200300011300113221220300
5122334441413041012000
61230204024051323440
742224464036526145
oct4060056027515060
9626008084154606
10144042203454000
1141994a5674a515
12141a44165b0580
13624b176c2c207
14277d9736d43cc
15119bd0562dba0
hex8301705e9a30

144042203454000 has 160 divisors (see below), whose sum is σ = 484583023701504. Its totient is φ = 36741199686400.

The previous prime is 144042203453921. The next prime is 144042203454001. The reversal of 144042203454000 is 454302240441.

It is not an unprimeable number, because it can be changed into a prime (144042203454001) 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, 521754042 + ... + 522030041.

Almost surely, 2144042203454000 is an apocalyptic number.

144042203454000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144042203454000 is an abundant number, since it is smaller than the sum of its proper divisors (340540820247504).

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

144042203454000 is a wasteful number, since it uses less digits than its factorization.

144042203454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043784132 (or 1043784116 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 144042203454000 its reverse (454302240441), we get a palindrome (144496505694441).

The spelling of 144042203454000 in words is "one hundred forty-four trillion, forty-two billion, two hundred three million, four hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1104 1150 1200 1380 1500 1725 1840 2000 2300 2760 2875 3000 3450 4600 5520 5750 6000 6900 8625 9200 11500 13800 17250 23000 27600 34500 46000 69000 138000 1043784083 2087568166 3131352249 4175136332 5218920415 6262704498 8350272664 10437840830 12525408996 15656761245 16700545328 20875681660 24007033909 25050817992 26094602075 31313522490 41751363320 48014067818 50101635984 52189204150 62627044980 72021101727 78283806225 83502726640 96028135636 104378408300 120035169545 125254089960 130473010375 144042203454 156567612450 192056271272 208756816600 240070339090 250508179920 260946020750 288084406908 313135224900 360105508635 384112542544 391419031125 417513633200 480140678180 521892041500 576168813816 600175847725 626270449800 720211017270 782838062250 960281356360 1043784083000 1152337627632 1200351695450 1252540899600 1440422034540 1565676124500 1800527543175 1920562712720 2087568166000 2400703390900 2880844069080 3000879238625 3131352249000 3601055086350 4801406781800 5761688138160 6001758477250 6262704498000 7202110172700 9002637715875 9602813563600 12003516954500 14404220345400 18005275431750 24007033909000 28808440690800 36010550863500 48014067818000 72021101727000 144042203454000