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14214132210300 = 22352114791644953
BaseRepresentation
bin1100111011010111110001…
…0011010001101001111100
31212022212011022110022021020
43032311330103101221330
53330341020321212200
650121514315304140
72664636306200631
oct316657423215174
955285138408236
1014214132210300
1145901a8086630
12171696414b050
137c1505092829
14371d79400188
15199b1edbdea0
hexced7c4d1a7c

14214132210300 has 144 divisors (see below), whose sum is σ = 45819544361472. Its totient is φ = 3372534233600.

The previous prime is 14214132210293. The next prime is 14214132210331. The reversal of 14214132210300 is 301223141241.

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, 45667377 + ... + 45977576.

It is an arithmetic number, because the mean of its divisors is an integer number (318191280288).

Almost surely, 214214132210300 is an apocalyptic number.

14214132210300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214132210300 is an abundant number, since it is smaller than the sum of its proper divisors (31605412151172).

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

14214132210300 is a wasteful number, since it uses less digits than its factorization.

14214132210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91645028 (or 91645021 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14214132210300 its reverse (301223141241), we get a palindrome (14515355351541).

The spelling of 14214132210300 in words is "fourteen trillion, two hundred fourteen billion, one hundred thirty-two million, two hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 47 50 55 60 66 75 94 100 110 132 141 150 165 188 220 235 275 282 300 330 470 517 550 564 660 705 825 940 1034 1100 1175 1410 1551 1650 2068 2350 2585 2820 3102 3300 3525 4700 5170 6204 7050 7755 10340 12925 14100 15510 25850 31020 38775 51700 77550 155100 91644953 183289906 274934859 366579812 458224765 549869718 916449530 1008094483 1099739436 1374674295 1832899060 2016188966 2291123825 2749348590 3024283449 4032377932 4307312791 4582247650 5040472415 5498697180 6048566898 6873371475 8614625582 9164495300 10080944830 12097133796 12921938373 13746742950 15121417245 17229251164 20161889660 21536563955 25202362075 25843876746 27493485900 30242834490 43073127910 47380440701 50404724150 51687753492 60485668980 64609691865 75607086225 86146255820 94760881402 100809448300 107682819775 129219383730 142141322103 151214172450 189521762804 215365639550 236902203505 258438767460 284282644206 302428344900 323048459325 430731279100 473804407010 568565288412 646096918650 710706610515 947608814020 1184511017525 1292193837300 1421413221030 2369022035050 2842826442060 3553533052575 4738044070100 7107066105150 14214132210300