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144322431440 = 24511164002763
BaseRepresentation
bin1000011001101001001…
…0011000100111010000
3111210112002010010222112
42012122102120213100
54331033020301230
6150144550324452
713266305266145
oct2063222304720
9453462103875
10144322431440
1156230282930
1223b79359728
13107c0236535
146db17143cc
153b4a436d95
hex219a4989d0

144322431440 has 40 divisors (see below), whose sum is σ = 366054169248. Its totient is φ = 52480883840.

The previous prime is 144322431433. The next prime is 144322431511. The reversal of 144322431440 is 44134223441.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 144322431397 and 144322431406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82000502 + ... + 82002261.

Almost surely, 2144322431440 is an apocalyptic number.

144322431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144322431440 is an abundant number, since it is smaller than the sum of its proper divisors (221731737808).

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

144322431440 is a wasteful number, since it uses less digits than its factorization.

144322431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164002787 (or 164002781 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144322431440 its reverse (44134223441), we get a palindrome (188456654881).

The spelling of 144322431440 in words is "one hundred forty-four billion, three hundred twenty-two million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 164002763 328005526 656011052 820013815 1312022104 1640027630 1804030393 2624044208 3280055260 3608060786 6560110520 7216121572 9020151965 13120221040 14432243144 18040303930 28864486288 36080607860 72161215720 144322431440