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13448174040 = 233557197651
BaseRepresentation
bin11001000011001001…
…01101100111011000
31021201020010000200000
430201210231213120
5210020213032130
610102241013000
7654154410330
oct144144554730
937636100600
1013448174040
115781164224
122733924160
1313641ac542
149180b00c0
1553a97e260
hex32192d9d8

13448174040 has 192 divisors, whose sum is σ = 51800636160. Its totient is φ = 3073852800.

The previous prime is 13448174039. The next prime is 13448174059. The reversal of 13448174040 is 4047184431.

It is a happy number.

13448174040 is a `hidden beast` number, since 1 + 3 + 448 + 174 + 0 + 40 = 666.

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 = 13448173986 and 13448174004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30786 + ... + 166865.

It is an arithmetic number, because the mean of its divisors is an integer number (269794980).

Almost surely, 213448174040 is an apocalyptic number.

13448174040 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 13448174040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25900318080).

13448174040 is an abundant number, since it is smaller than the sum of its proper divisors (38352462120).

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

13448174040 is a wasteful number, since it uses less digits than its factorization.

13448174040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197684 (or 197668 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 13448174040 in words is "thirteen billion, four hundred forty-eight million, one hundred seventy-four thousand, forty".