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144055334300 = 2252191573371433
BaseRepresentation
bin1000011000101001011…
…1011111010110011100
3111202211110112012120212
42012022113133112130
54330011131144200
6150102245431552
713256553065243
oct2061227372634
9452743465525
10144055334300
1156103531899
1223b03a0b5b8
1310779ab8aa7
146d8806795a
153b31c77035
hex218a5df59c

144055334300 has 144 divisors (see below), whose sum is σ = 332362998240. Its totient is φ = 54042992640.

The previous prime is 144055334273. The next prime is 144055334321. The reversal of 144055334300 is 3433550441.

It is a congruent number.

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, 100526384 + ... + 100527816.

Almost surely, 2144055334300 is an apocalyptic number.

144055334300 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 144055334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166181499120).

144055334300 is an abundant number, since it is smaller than the sum of its proper divisors (188307663940).

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

144055334300 is a wasteful number, since it uses less digits than its factorization.

144055334300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 144055334300 its reverse (3433550441), we get a palindrome (147488884741).

The spelling of 144055334300 in words is "one hundred forty-four billion, fifty-five million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 157 190 314 337 380 475 628 674 785 950 1348 1433 1570 1685 1900 2866 2983 3140 3370 3925 5732 5966 6403 6740 7165 7850 8425 11932 12806 14330 14915 15700 16850 25612 27227 28660 29830 32015 33700 35825 52909 54454 59660 64030 71650 74575 105818 108908 128060 136135 143300 149150 160075 211636 224981 264545 272270 298300 320150 449962 482921 529090 544540 640300 680675 899924 965842 1005271 1058180 1124905 1322725 1361350 1931684 2010542 2249810 2414605 2645450 2722700 4021084 4274639 4499620 4829210 5026355 5290900 5624525 8549278 9175499 9658420 10052710 11249050 12073025 17098556 18350998 20105420 21373195 22498100 24146050 25131775 36701996 42746390 45877495 48292100 50263550 75818597 85492780 91754990 100527100 106865975 151637194 183509980 213731950 229387475 303274388 379092985 427463900 458774950 758185970 917549900 1440553343 1516371940 1895464925 2881106686 3790929850 5762213372 7202766715 7581859700 14405533430 28811066860 36013833575 72027667150 144055334300