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144442432033240 = 23511425377187457
BaseRepresentation
bin100000110101111010011111…
…110110100001000111011000
3200221102120011102212020102211
4200311322133312201013120
5122413021100100030430
61231111534235004504
742265423055365015
oct4065723766410730
9627376142766384
10144442432033240
1142029767304880
1214249ab2299734
136279b2aa1cc33
14279509dd9870c
1511a742c12972a
hex835e9fda11d8

144442432033240 has 64 divisors (see below), whose sum is σ = 354623882038560. Its totient is φ = 52512170065920.

The previous prime is 144442432033217. The next prime is 144442432033241. The reversal of 144442432033240 is 42330234244441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 144442432033193 and 144442432033202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144442432033241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36722409 + ... + 40465048.

Almost surely, 2144442432033240 is an apocalyptic number.

144442432033240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144442432033240 is an abundant number, since it is smaller than the sum of its proper divisors (210181450005320).

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

144442432033240 is a wasteful number, since it uses less digits than its factorization.

144442432033240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77191732 (or 77191728 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 144442432033240 its reverse (42330234244441), we get a palindrome (186772666277681).

The spelling of 144442432033240 in words is "one hundred forty-four trillion, four hundred forty-two billion, four hundred thirty-two million, thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 4253 8506 17012 21265 34024 42530 46783 85060 93566 170120 187132 233915 374264 467830 935660 1871320 77187457 154374914 308749828 385937285 617499656 771874570 849062027 1543749140 1698124054 3087498280 3396248108 4245310135 6792496216 8490620270 16981240540 33962481080 328278254621 656556509242 1313113018484 1641391273105 2626226036968 3282782546210 3611060800831 6565565092420 7222121601662 13131130184840 14444243203324 18055304004155 28888486406648 36110608008310 72221216016620 144442432033240