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14011330300 = 225211172413109
BaseRepresentation
bin11010000110010001…
…11110111011111100
31100011110210022211021
431003020332323330
5212143400032200
610234155233524
71004133225322
oct150310767374
940143708737
1014011330300
115a40037920
1228704488a4
131423a780b6
1496cbc5d12
1557012041a
hex34323eefc

14011330300 has 144 divisors (see below), whose sum is σ = 35276804640. Its totient is φ = 4773888000.

The previous prime is 14011330273. The next prime is 14011330301. The reversal of 14011330300 is 303311041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011330301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4505146 + ... + 4508254.

It is an arithmetic number, because the mean of its divisors is an integer number (244977810).

Almost surely, 214011330300 is an apocalyptic number.

14011330300 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 14011330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17638402320).

14011330300 is an abundant number, since it is smaller than the sum of its proper divisors (21265474340).

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

14011330300 is a wasteful number, since it uses less digits than its factorization.

14011330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 14011330300 its reverse (303311041), we get a palindrome (14314641341).

The spelling of 14011330300 in words is "fourteen billion, eleven million, three hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 241 275 340 374 425 482 550 748 850 935 964 1100 1205 1700 1870 2410 2651 3109 3740 4097 4675 4820 5302 6025 6218 8194 9350 10604 12050 12436 13255 15545 16388 18700 20485 24100 26510 31090 34199 40970 45067 52853 53020 62180 66275 68398 77725 81940 90134 102425 105706 132550 136796 155450 170995 180268 204850 211412 225335 264265 265100 310900 341990 409700 450670 528530 581383 683980 749269 854975 901340 1057060 1126675 1162766 1321325 1498538 1709950 2253350 2325532 2642650 2906915 2997076 3419900 3746345 4506700 5285300 5813830 7492690 8241959 11627660 12737573 14534575 14985380 16483918 18731725 25475146 29069150 32967836 37463450 41209795 50950292 58138300 63687865 74926900 82419590 127375730 140113303 164839180 206048975 254751460 280226606 318439325 412097950 560453212 636878650 700566515 824195900 1273757300 1401133030 2802266060 3502832575 7005665150 14011330300