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144263340600 = 233521912654679
BaseRepresentation
bin1000011001011011000…
…0111110001000111000
3111210100221221000120220
42012112300332020320
54330422403344400
6150135040020040
713264660106511
oct2062660761070
9453327830526
10144263340600
11561aa993025
1223b61601620
13107b0c17342
146da7931a08
153b451637a0
hex2196c3e238

144263340600 has 96 divisors (see below), whose sum is σ = 470754096000. Its totient is φ = 36445472640.

The previous prime is 144263340563. The next prime is 144263340623. The reversal of 144263340600 is 6043362441.

144263340600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1442633406002 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 6315940 + ... + 6338739.

It is an arithmetic number, because the mean of its divisors is an integer number (4903688500).

Almost surely, 2144263340600 is an apocalyptic number.

144263340600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144263340600 is an abundant number, since it is smaller than the sum of its proper divisors (326490755400).

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

144263340600 is a wasteful number, since it uses less digits than its factorization.

144263340600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12654717 (or 12654708 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 144263340600 in words is "one hundred forty-four billion, two hundred sixty-three million, three hundred forty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 12654679 25309358 37964037 50618716 63273395 75928074 101237432 126546790 151856148 189820185 240438901 253093580 303712296 316366975 379640370 480877802 506187160 632733950 721316703 759280740 949100925 961755604 1202194505 1265467900 1442633406 1518561480 1898201850 1923511208 2404389010 2530935800 2885266812 3606583515 3796403700 4808778020 5770533624 6010972525 7213167030 7592807400 9617556040 12021945050 14426334060 18032917575 24043890100 28852668120 36065835150 48087780200 72131670300 144263340600