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13487221440 = 2633571121997
BaseRepresentation
bin11001000111110011…
…01010101011000000
31021210221120211122000
430203321222223000
5210110212041230
610110153544000
7655140330210
oct144371525300
937727524560
1013487221440
1157a1204100
122744a15000
13136c301604
1491d356240
1553e0e3b60
hex323e6aac0

13487221440 has 1344 divisors, whose sum is σ = 63564211200. Its totient is φ = 2627665920.

The previous prime is 13487221427. The next prime is 13487221453. The reversal of 13487221440 is 4412278431.

13487221440 is a `hidden beast` number, since 13 + 487 + 22 + 144 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13487221427) and next prime (13487221453).

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 13487221395 and 13487221404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139043472 + ... + 139043568.

It is an arithmetic number, because the mean of its divisors is an integer number (47294800).

Almost surely, 213487221440 is an apocalyptic number.

13487221440 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 13487221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31782105600).

13487221440 is an abundant number, since it is smaller than the sum of its proper divisors (50076989760).

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

13487221440 is a wasteful number, since it uses less digits than its factorization.

13487221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

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

Adding to 13487221440 its reverse (4412278431), we get a palindrome (17899499871).

The spelling of 13487221440 in words is "thirteen billion, four hundred eighty-seven million, two hundred twenty-one thousand, four hundred forty".