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144431304000 = 263536017971
BaseRepresentation
bin1000011010000011000…
…1101100110101000000
3111210210122222110001120
42012200301230311000
54331243403212000
6150203440032240
713302066553644
oct2064061546500
9453718873046
10144431304000
1156286784455
1223ba9902680
1310809965679
146dc1d74c24
153b54c906a0
hex21a0c6cd40

144431304000 has 112 divisors (see below), whose sum is σ = 476912245056. Its totient is φ = 38515008000.

The previous prime is 144431303987. The next prime is 144431304023. The reversal of 144431304000 is 403134441.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2984986 + ... + 3032985.

Almost surely, 2144431304000 is an apocalyptic number.

144431304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144431304000 is an abundant number, since it is smaller than the sum of its proper divisors (332480941056).

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

144431304000 is an equidigital number, since it uses as much as digits as its factorization.

144431304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6018001 (or 6017981 counting only the distinct ones).

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

Adding to 144431304000 its reverse (403134441), we get a palindrome (144834438441).

The spelling of 144431304000 in words is "one hundred forty-four billion, four hundred thirty-one million, three hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 6017971 12035942 18053913 24071884 30089855 36107826 48143768 60179710 72215652 90269565 96287536 120359420 144431304 150449275 180539130 192575072 240718840 288862608 300898550 361078260 385150144 451347825 481437680 577725216 601797100 722156520 752246375 902695650 962875360 1155450432 1203594200 1444313040 1504492750 1805391300 1925750720 2256739125 2407188400 2888626080 3008985500 3610782600 4513478250 4814376800 5777252160 6017971000 7221565200 9026956500 9628753600 12035942000 14443130400 18053913000 24071884000 28886260800 36107826000 48143768000 72215652000 144431304000