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144231244000 = 2553347103913
BaseRepresentation
bin1000011001010011011…
…0100010000011100000
3111210021201112100022221
42012110312202003200
54330341144302000
6150131532040424
713264120226434
oct2062466420340
9453251470287
10144231244000
1156193860408
1223b52903114
13107a7389c7c
146da35789c4
153b4242361a
hex2194da20e0

144231244000 has 96 divisors (see below), whose sum is σ = 355400843616. Its totient is φ = 57525683200.

The previous prime is 144231243983. The next prime is 144231244013. The reversal of 144231244000 is 442132441.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1336044 + ... + 1439956.

It is an arithmetic number, because the mean of its divisors is an integer number (3702092121).

Almost surely, 2144231244000 is an apocalyptic number.

144231244000 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 144231244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177700421808).

144231244000 is an abundant number, since it is smaller than the sum of its proper divisors (211169599616).

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

144231244000 is a wasteful number, since it uses less digits than its factorization.

144231244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104285 (or 104267 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 144231244000 its reverse (442132441), we get a palindrome (144673376441).

The spelling of 144231244000 in words is "one hundred forty-four billion, two hundred thirty-one million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 347 400 500 694 800 1000 1388 1735 2000 2776 3470 4000 5552 6940 8675 11104 13880 17350 27760 34700 43375 55520 69400 86750 103913 138800 173500 207826 277600 347000 415652 519565 694000 831304 1039130 1388000 1662608 2078260 2597825 3325216 4156520 5195650 8313040 10391300 12989125 16626080 20782600 25978250 36057811 41565200 51956500 72115622 83130400 103913000 144231244 180289055 207826000 288462488 360578110 415652000 576924976 721156220 901445275 1153849952 1442312440 1802890550 2884624880 3605781100 4507226375 5769249760 7211562200 9014452750 14423124400 18028905500 28846248800 36057811000 72115622000 144231244000