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114024443200 = 2652327121787
BaseRepresentation
bin110101000110001100…
…0101110110101000000
3101220022120002212120221
41222030120232311000
53332010224140300
6124214311312424
711144426530003
oct1521430566500
9356276085527
10114024443200
11443a2909928
121a12267b714
13a9a21c9245
14573989b53a
152e7559a31a
hex1a8c62ed40

114024443200 has 84 divisors (see below), whose sum is σ = 280670052832. Its totient is φ = 45593740800.

The previous prime is 114024443189. The next prime is 114024443209. The reversal of 114024443200 is 2344420411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114024443209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5222707 + ... + 5244493.

Almost surely, 2114024443200 is an apocalyptic number.

114024443200 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 114024443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140335026416).

114024443200 is an abundant number, since it is smaller than the sum of its proper divisors (166645609632).

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

114024443200 is a wasteful number, since it uses less digits than its factorization.

114024443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25080 (or 25065 counting only the distinct ones).

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

Adding to 114024443200 its reverse (2344420411), we get a palindrome (116368863611).

The spelling of 114024443200 in words is "one hundred fourteen billion, twenty-four million, four hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 3271 6542 13084 16355 21787 26168 32710 43574 52336 65420 81775 87148 104672 108935 130840 163550 174296 209344 217870 261680 327100 348592 435740 523360 544675 654200 697184 871480 1046720 1089350 1308400 1394368 1742960 2178700 2616800 3485920 4357400 5233600 6971840 8714800 17429600 34859200 71265277 142530554 285061108 356326385 570122216 712652770 1140244432 1425305540 1781631925 2280488864 2850611080 3563263850 4560977728 5701222160 7126527700 11402444320 14253055400 22804888640 28506110800 57012221600 114024443200