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144243224204040 = 233251330821201753
BaseRepresentation
bin100000110011000000111110…
…001000111101001100001000
3200220201111222022011222222200
4200303000332020331030020
5122401240110344012130
61230440231123520200
742245141363645613
oct4063007610751410
9626644868158880
10144243224204040
1141a62231717295
1214217377b29060
1362641018721a0
1427895a31a517a
1511a216d4d2760
hex83303e23d308

144243224204040 has 96 divisors (see below), whose sum is σ = 504851284730520. Its totient is φ = 35506024418304.

The previous prime is 144243224204003. The next prime is 144243224204069. The reversal of 144243224204040 is 40402422342441.

144243224204040 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 4 + 3 + 2 + 242 + 0 + 404 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113051289623364 + 31191934580676 = 10632558^2 + 5584974^2 .

It is a super-2 number, since 2×1442432242040402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144243224203986 and 144243224204004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15410596197 + ... + 15410605556.

Almost surely, 2144243224204040 is an apocalyptic number.

144243224204040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144243224204040 is an abundant number, since it is smaller than the sum of its proper divisors (360608060526480).

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

144243224204040 is a wasteful number, since it uses less digits than its factorization.

144243224204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30821201783 (or 30821201776 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 144243224204040 its reverse (40402422342441), we get a palindrome (184645646546481).

The spelling of 144243224204040 in words is "one hundred forty-four trillion, two hundred forty-three billion, two hundred twenty-four million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 30821201753 61642403506 92463605259 123284807012 154106008765 184927210518 246569614024 277390815777 308212017530 369854421036 400675622789 462318026295 554781631554 616424035060 739708842072 801351245578 924636052590 1109563263108 1202026868367 1232848070120 1386954078885 1602702491156 1849272105180 2003378113945 2219126526216 2404053736734 2773908157770 3205404982312 3606080605101 3698544210360 4006756227890 4808107473468 5547816315540 6010134341835 7212161210202 8013512455780 9616214946936 11095632631080 12020268683670 14424322420404 16027024911560 18030403025505 24040537367340 28848644840808 36060806051010 48081074734680 72121612102020 144243224204040