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13402124320 = 255136443329
BaseRepresentation
bin11000111101101010…
…00011000000100000
31021121000110110022211
430132311003000200
5204421420434240
610053514011504
7653055114514
oct143665030040
937530413284
1013402124320
115758171402
122720416b94
1313577a81a0
14911d24144
155368d4bea
hex31ed43020

13402124320 has 48 divisors (see below), whose sum is σ = 34098102360. Its totient is φ = 4948475904.

The previous prime is 13402124269. The next prime is 13402124327. The reversal of 13402124320 is 2342120431.

It can be written as a sum of positive squares in 4 ways, for example, as 11730622864 + 1671501456 = 108308^2 + 40884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13402124291 and 13402124300.

It is not an unprimeable number, because it can be changed into a prime (13402124327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3219585 + ... + 3223744.

Almost surely, 213402124320 is an apocalyptic number.

13402124320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13402124320 is an abundant number, since it is smaller than the sum of its proper divisors (20695978040).

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

13402124320 is a wasteful number, since it uses less digits than its factorization.

13402124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6443357 (or 6443349 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13402124320 its reverse (2342120431), we get a palindrome (15744244751).

The spelling of 13402124320 in words is "thirteen billion, four hundred two million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 6443329 12886658 25773316 32216645 51546632 64433290 83763277 103093264 128866580 167526554 206186528 257733160 335053108 418816385 515466320 670106216 837632770 1030932640 1340212432 1675265540 2680424864 3350531080 6701062160 13402124320