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144462427470 = 23252007179973
BaseRepresentation
bin1000011010001010100…
…0011011010101001110
3111210212211112200102200
42012202220123111032
54331324340134340
6150210511102330
713302625241634
oct2064250332516
9453784480380
10144462427470
11562a2301a29
1223bb82119a6
1310813241b1a
146dc6157354
153b5788c330
hex21a2a1b54e

144462427470 has 48 divisors (see below), whose sum is σ = 375625721952. Its totient is φ = 38520912960.

The previous prime is 144462427469. The next prime is 144462427477. The reversal of 144462427470 is 74724264441.

144462427470 is a `hidden beast` number, since 14 + 4 + 4 + 624 + 2 + 7 + 4 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144462427477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1766404 + ... + 1846376.

It is an arithmetic number, because the mean of its divisors is an integer number (7825535874).

Almost surely, 2144462427470 is an apocalyptic number.

144462427470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144462427470 is an abundant number, since it is smaller than the sum of its proper divisors (231163294482).

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

144462427470 is a wasteful number, since it uses less digits than its factorization.

144462427470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100057 (or 100054 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 144462427470 in words is "one hundred forty-four billion, four hundred sixty-two million, four hundred twenty-seven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 20071 40142 60213 79973 100355 120426 159946 180639 200710 239919 301065 361278 399865 479838 602130 719757 799730 903195 1199595 1439514 1806390 2399190 3598785 7197570 1605138083 3210276166 4815414249 8025690415 9630828498 14446242747 16051380830 24077071245 28892485494 48154142490 72231213735 144462427470