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144250351300 = 2252111016831901
BaseRepresentation
bin1000011001010111111…
…1011010111011000100
3111210100001111002121201
42012111333122323010
54330411042220200
6150133453352244
713264441520026
oct2062577327304
9453301432551
10144250351300
11561a3620a70
1223b59198684
13107ab319c73
146da5d10016
153b43e49c6a
hex2195fdaec4

144250351300 has 144 divisors (see below), whose sum is σ = 345547508544. Its totient is φ = 51832000000.

The previous prime is 144250351283. The next prime is 144250351351. The reversal of 144250351300 is 3153052441.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75880350 + ... + 75882250.

It is an arithmetic number, because the mean of its divisors is an integer number (2399635476).

Almost surely, 2144250351300 is an apocalyptic number.

144250351300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144250351300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172773754272).

144250351300 is an abundant number, since it is smaller than the sum of its proper divisors (201297157244).

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

144250351300 is a wasteful number, since it uses less digits than its factorization.

144250351300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 144250351300 in words is "one hundred forty-four billion, two hundred fifty million, three hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 683 1010 1100 1111 1366 1901 2020 2222 2525 2732 3415 3802 4444 5050 5555 6830 7513 7604 9505 10100 11110 13660 15026 17075 19010 20911 22220 27775 30052 34150 37565 38020 41822 47525 55550 68300 68983 75130 83644 95050 104555 111100 137966 150260 187825 190100 192001 209110 275932 344915 375650 384002 418220 522775 689830 751300 758813 768004 960005 1045550 1298383 1379660 1517626 1724575 1920010 2091100 2112011 2596766 3035252 3449150 3794065 3840020 4224022 4800025 5193532 6491915 6898300 7588130 8448044 9600050 10560055 12983830 14282213 15176260 18970325 19200100 21120110 25967660 28564426 32459575 37940650 42240220 52800275 57128852 64919150 71411065 75881300 105600550 129838300 131136683 142822130 211201100 262273366 285644260 357055325 524546732 655683415 714110650 1311366830 1428221300 1442503513 2622733660 2885007026 3278417075 5770014052 6556834150 7212517565 13113668300 14425035130 28850070260 36062587825 72125175650 144250351300