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144531052320 = 2535943731907
BaseRepresentation
bin1000011010011010111…
…0001101011100100000
3111211001121200012000210
42012212232031130200
54331444422133240
6150221402014120
713304420450244
oct2064656153440
9454047605023
10144531052320
1156328013886
12240171a7340
131082451b745
146dd12dc424
153b5d8e5780
hex21a6b8d720

144531052320 has 96 divisors (see below), whose sum is σ = 455335328448. Its totient is φ = 38536322048.

The previous prime is 144531052273. The next prime is 144531052361. The reversal of 144531052320 is 23250135441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4513807 + ... + 4545713.

It is an arithmetic number, because the mean of its divisors is an integer number (4743076338).

Almost surely, 2144531052320 is an apocalyptic number.

144531052320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144531052320 is an abundant number, since it is smaller than the sum of its proper divisors (310804276128).

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

144531052320 is a wasteful number, since it uses less digits than its factorization.

144531052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41362 (or 41354 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 144531052320 its reverse (23250135441), we get a palindrome (167781187761).

The spelling of 144531052320 in words is "one hundred forty-four billion, five hundred thirty-one million, fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 9437 18874 28311 31907 37748 47185 56622 63814 75496 94370 95721 113244 127628 141555 150992 159535 188740 191442 226488 255256 283110 301984 319070 377480 382884 452976 478605 510512 566220 638140 754960 765768 905952 957210 1021024 1132440 1276280 1509920 1531536 1914420 2264880 2552560 3063072 3828840 4529760 5105120 7657680 15315360 301106359 602212718 903319077 1204425436 1505531795 1806638154 2408850872 3011063590 3613276308 4516595385 4817701744 6022127180 7226552616 9033190770 9635403488 12044254360 14453105232 18066381540 24088508720 28906210464 36132763080 48177017440 72265526160 144531052320