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14252463400 = 2352721785549
BaseRepresentation
bin11010100011000001…
…10101010100101000
31100210021112011020211
431101200311110220
5213142112312100
610314131430504
71013121640300
oct152140652450
940707464224
1014252463400
11605416477a
122919155434
131461a048c6
14992c34600
155863a21ba
hex351835528

14252463400 has 144 divisors (see below), whose sum is σ = 40815049500. Its totient is φ = 4599060480.

The previous prime is 14252463397. The next prime is 14252463403. The reversal of 14252463400 is 436425241.

It is an interprime number because it is at equal distance from previous prime (14252463397) and next prime (14252463403).

It can be written as a sum of positive squares in 6 ways, for example, as 2743035876 + 11509427524 = 52374^2 + 107282^2 .

It is not an unprimeable number, because it can be changed into a prime (14252463403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123826 + ... + 209374.

Almost surely, 214252463400 is an apocalyptic number.

14252463400 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 14252463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407524750).

14252463400 is an abundant number, since it is smaller than the sum of its proper divisors (26562586100).

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

14252463400 is a wasteful number, since it uses less digits than its factorization.

14252463400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85596 (or 85580 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 14252463400 its reverse (436425241), we get a palindrome (14688888641).

The spelling of 14252463400 in words is "fourteen billion, two hundred fifty-two million, four hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 49 50 56 68 70 85 98 100 119 136 140 170 175 196 200 238 245 280 340 350 392 425 476 490 595 680 700 833 850 952 980 1190 1225 1400 1666 1700 1960 2380 2450 2975 3332 3400 4165 4760 4900 5950 6664 8330 9800 11900 16660 20825 23800 33320 41650 83300 85549 166600 171098 342196 427745 598843 684392 855490 1197686 1454333 1710980 2138725 2395372 2908666 2994215 3421960 4191901 4277450 4790744 5817332 5988430 7271665 8383802 8554900 10180331 11634664 11976860 14543330 14971075 16767604 17109800 20360662 20959505 23953720 29086660 29942150 33535208 36358325 40721324 41919010 50901655 58173320 59884300 71262317 72716650 81442648 83838020 101803310 104797525 119768600 142524634 145433300 167676040 203606620 209595050 254508275 285049268 290866600 356311585 407213240 419190100 509016550 570098536 712623170 838380200 1018033100 1425246340 1781557925 2036066200 2850492680 3563115850 7126231700 14252463400