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12400144848 = 2434713105143
BaseRepresentation
bin10111000110001101…
…10011000111010000
31012000012001121220000
423203012303013100
5200343414113343
65410242050000
7616200330540
oct134306630720
935005047800
1012400144848
1152936163a3
1224a0949900
131228027020
14858c1d320
154c8961ed3
hex2e31b31d0

12400144848 has 200 divisors, whose sum is σ = 44172256128. Its totient is φ = 3270336768.

The previous prime is 12400144793. The next prime is 12400144871. The reversal of 12400144848 is 84844100421.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65365 + ... + 170507.

Almost surely, 212400144848 is an apocalyptic number.

12400144848 is a gapful number since it is divisible by the number (18) 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 12400144848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22086128064).

12400144848 is an abundant number, since it is smaller than the sum of its proper divisors (31772111280).

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

12400144848 is a wasteful number, since it uses less digits than its factorization.

12400144848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105183 (or 105168 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 12400144848 in words is "twelve billion, four hundred million, one hundred forty-four thousand, eight hundred forty-eight".