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14423144200 = 2352298927941
BaseRepresentation
bin11010110111010111…
…11011011100001000
31101020011200122021221
431123223323130020
5214014311103300
610343110011424
71020263463043
oct153353733410
941204618257
1014423144200
116131541793
122966346b74
13148b194a6a
149ab783c5a
1559636931a
hex35bafb708

14423144200 has 96 divisors (see below), whose sum is σ = 35081181000. Its totient is φ = 5507532800.

The previous prime is 14423144137. The next prime is 14423144209. The reversal of 14423144200 is 244132441.

It can be written as a sum of positive squares in 12 ways, for example, as 117548964 + 14305595236 = 10842^2 + 119606^2 .

It is a super-2 number, since 2×144231442002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14423144209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502230 + ... + 530170.

Almost surely, 214423144200 is an apocalyptic number.

14423144200 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 14423144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17540590500).

14423144200 is an abundant number, since it is smaller than the sum of its proper divisors (20658036800).

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

14423144200 is a wasteful number, since it uses less digits than its factorization.

14423144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28075 (or 28066 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14423144200 its reverse (244132441), we get a palindrome (14667276641).

The spelling of 14423144200 in words is "fourteen billion, four hundred twenty-three million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 89 100 116 145 178 200 232 290 356 445 580 712 725 890 1160 1450 1780 2225 2581 2900 3560 4450 5162 5800 8900 10324 12905 17800 20648 25810 27941 51620 55882 64525 103240 111764 129050 139705 223528 258100 279410 516200 558820 698525 810289 1117640 1397050 1620578 2486749 2794100 3241156 4051445 4973498 5588200 6482312 8102890 9946996 12433745 16205780 19893992 20257225 24867490 32411560 40514450 49734980 62168725 72115721 81028900 99469960 124337450 144231442 162057800 248674900 288462884 360578605 497349800 576925768 721157210 1442314420 1802893025 2884628840 3605786050 7211572100 14423144200