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144433020120 = 23354409272989
BaseRepresentation
bin1000011010000011100…
…0001111110011011000
3111210210210012122010120
42012200320033303120
54331244323120440
6150203540513240
713302120262134
oct2064070176330
9453723178116
10144433020120
1156287746834
1223baa3ab820
131080a11681c
146dc22a03c4
153b54ecddd0
hex21a0e0fcd8

144433020120 has 64 divisors (see below), whose sum is σ = 433398924000. Its totient is φ = 38506595328.

The previous prime is 144433020037. The next prime is 144433020133. The reversal of 144433020120 is 21020334441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 392586 + ... + 665574.

Almost surely, 2144433020120 is an apocalyptic number.

144433020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144433020120 is an abundant number, since it is smaller than the sum of its proper divisors (288965903880).

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

144433020120 is a wasteful number, since it uses less digits than its factorization.

144433020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277412 (or 277408 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144433020120 its reverse (21020334441), we get a palindrome (165453354561).

The spelling of 144433020120 in words is "one hundred forty-four billion, four hundred thirty-three million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4409 8818 13227 17636 22045 26454 35272 44090 52908 66135 88180 105816 132270 176360 264540 272989 529080 545978 818967 1091956 1364945 1637934 2183912 2729890 3275868 4094835 5459780 6551736 8189670 10919560 16379340 32758680 1203608501 2407217002 3610825503 4814434004 6018042505 7221651006 9628868008 12036085010 14443302012 18054127515 24072170020 28886604024 36108255030 48144340040 72216510060 144433020120