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114200144320 = 2652411480811
BaseRepresentation
bin110101001011011011…
…0111110100111000000
3101220202210201102012211
41222112312332213000
53332340214104240
6124243545231504
711151662132113
oct1522666764700
9356683642184
10114200144320
1144483005769
121a171492594
13a9cc7264c2
145754d5657a
152e85c04bea
hex1a96dbe9c0

114200144320 has 56 divisors (see below), whose sum is σ = 273067656048. Its totient is φ = 45490483200.

The previous prime is 114200144207. The next prime is 114200144329. The reversal of 114200144320 is 23441002411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114200144291 and 114200144300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114200144329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663286 + ... + 817525.

Almost surely, 2114200144320 is an apocalyptic number.

114200144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114200144320 is an abundant number, since it is smaller than the sum of its proper divisors (158867511728).

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

114200144320 is a wasteful number, since it uses less digits than its factorization.

114200144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481069 (or 1481059 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 114200144320 its reverse (23441002411), we get a palindrome (137641146731).

The spelling of 114200144320 in words is "one hundred fourteen billion, two hundred million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 241 320 482 964 1205 1928 2410 3856 4820 7712 9640 15424 19280 38560 77120 1480811 2961622 5923244 7404055 11846488 14808110 23692976 29616220 47385952 59232440 94771904 118464880 236929760 356875451 473859520 713750902 1427501804 1784377255 2855003608 3568754510 5710007216 7137509020 11420014432 14275018040 22840028864 28550036080 57100072160 114200144320