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13042714048 = 267133975641
BaseRepresentation
bin11000010010110100…
…00000010111000000
31020122222011112010021
430021122000113000
5203202413322143
65554114343224
7641132145250
oct141132002700
936588145107
1013042714048
1155932aa121
12263bb8ab14
1312cb1a89a0
148ba2c7960
1551508cced
hex3096805c0

13042714048 has 112 divisors (see below), whose sum is σ = 31940219584. Its totient is φ = 5145845760.

The previous prime is 13042714037. The next prime is 13042714049. The reversal of 13042714048 is 84041724031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×130427140482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042714049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2309308 + ... + 2314948.

It is an arithmetic number, because the mean of its divisors is an integer number (285180532).

Almost surely, 213042714048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13042714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15970109792).

13042714048 is an abundant number, since it is smaller than the sum of its proper divisors (18897505536).

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

13042714048 is a wasteful number, since it uses less digits than its factorization.

13042714048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 13042714048 in words is "thirteen billion, forty-two million, seven hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 397 416 448 728 794 832 1456 1588 2779 2912 3176 5161 5558 5641 5824 6352 10322 11116 11282 12704 20644 22232 22564 25408 36127 39487 41288 44464 45128 72254 73333 78974 82576 88928 90256 144508 146666 157948 165152 177856 180512 289016 293332 315896 330304 361024 513331 578032 586664 631792 1026662 1156064 1173328 1263584 2053324 2239477 2312128 2346656 2527168 4106648 4478954 4693312 8213296 8957908 15676339 16426592 17915816 29113201 31352678 32853184 35831632 58226402 62705356 71663264 116452804 125410712 143326528 203792407 232905608 250821424 407584814 465811216 501642848 815169628 931622432 1003285696 1630339256 1863244864 3260678512 6521357024 13042714048