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12371473440 = 253456115649
BaseRepresentation
bin10111000010110010…
…11011010000100000
31011221012002222010000
423201121123100200
5200314044122230
65403335340000
7615401534454
oct134131332040
934835088100
1012371473440
115279413117
122493221600
1312220c89b1
148550b8664
154c619bb60
hex2e165b420

12371473440 has 240 divisors, whose sum is σ = 44379581400. Its totient is φ = 3244769280.

The previous prime is 12371473423. The next prime is 12371473463. The reversal of 12371473440 is 4437417321.

It can be written as a sum of positive squares in 4 ways, for example, as 4213048464 + 8158424976 = 64908^2 + 90324^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 12371473395 and 12371473404.

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, 782736 + ... + 798384.

Almost surely, 212371473440 is an apocalyptic number.

12371473440 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 12371473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22189790700).

12371473440 is an abundant number, since it is smaller than the sum of its proper divisors (32008107960).

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

12371473440 is a wasteful number, since it uses less digits than its factorization.

12371473440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15737 (or 15720 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 12371473440 in words is "twelve billion, three hundred seventy-one million, four hundred seventy-three thousand, four hundred forty".