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144241131223000 = 2353782125098509
BaseRepresentation
bin100000110010111111000001…
…011000110111011111011000
3200220201022120102212112202101
4200302333001120313133120
5122401221314043114000
61230435243320013144
742245035460624230
oct4062770130673730
9626638512775671
10144241131223000
1141a61358242699
1214216a930011b4
136263b5a071076
142789445224cc0
1511a20998a4e6a
hex832fc16377d8

144241131223000 has 128 divisors (see below), whose sum is σ = 386211856118400. Its totient is φ = 49393863744000.

The previous prime is 144241131222983. The next prime is 144241131223061. The reversal of 144241131223000 is 322131142441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 144241131223000.

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, 6802255 + ... + 18296254.

It is an arithmetic number, because the mean of its divisors is an integer number (3017280125925).

Almost surely, 2144241131223000 is an apocalyptic number.

144241131223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144241131223000 is an abundant number, since it is smaller than the sum of its proper divisors (241970724895400).

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

144241131223000 is a wasteful number, since it uses less digits than its factorization.

144241131223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25099358 (or 25099344 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 144241131223000 its reverse (322131142441), we get a palindrome (144563262365441).

The spelling of 144241131223000 in words is "one hundred forty-four trillion, two hundred forty-one billion, one hundred thirty-one million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 821 875 1000 1400 1642 1750 3284 3500 4105 5747 6568 7000 8210 11494 16420 20525 22988 28735 32840 41050 45976 57470 82100 102625 114940 143675 164200 205250 229880 287350 410500 574700 718375 821000 1149400 1436750 2873500 5747000 25098509 50197018 100394036 125492545 175689563 200788072 250985090 351379126 501970180 627462725 702758252 878447815 1003940360 1254925450 1405516504 1756895630 2509850900 3137313625 3513791260 4392239075 5019701800 6274627250 7027582520 8784478150 12549254500 17568956300 20605875889 21961195375 25098509000 35137912600 41211751778 43922390750 82423503556 87844781500 103029379445 144241131223 164847007112 175689563000 206058758890 288482262446 412117517780 515146897225 576964524892 721205656115 824235035560 1030293794450 1153929049784 1442411312230 2060587588900 2575734486125 2884822624460 3606028280575 4121175177800 5151468972250 5769645248920 7212056561150 10302937944500 14424113122300 18030141402875 20605875889000 28848226244600 36060282805750 72120565611500 144241131223000