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14134643072 = 271124122259
BaseRepresentation
bin11010010100111110…
…11000100110000000
31100111001211021010222
431022133120212000
5212421432034242
610254322242212
71010161324634
oct151237304600
940431737128
1014134643072
115aa3701600
1228a57b6368
131443491b34
14981324dc4
1557ad7c5d2
hex34a7d8980

14134643072 has 96 divisors (see below), whose sum is σ = 31707811800. Its totient is φ = 6267852800.

The previous prime is 14134643071. The next prime is 14134643119. The reversal of 14134643072 is 27034643141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134643071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 623879 + ... + 646137.

Almost surely, 214134643072 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 14134643072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15853905900).

14134643072 is an abundant number, since it is smaller than the sum of its proper divisors (17573168728).

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

14134643072 is a wasteful number, since it uses less digits than its factorization.

14134643072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22336 (or 22313 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 14134643072 in words is "fourteen billion, one hundred thirty-four million, six hundred forty-three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 121 128 164 176 242 328 352 451 484 656 704 902 968 1312 1408 1804 1936 2624 3608 3872 4961 5248 7216 7744 9922 14432 15488 19844 22259 28864 39688 44518 57728 79376 89036 158752 178072 244849 317504 356144 489698 635008 712288 912619 979396 1424576 1825238 1958792 2693339 2849152 3650476 3917584 5386678 7300952 7835168 10038809 10773356 14601904 15670336 20077618 21546712 29203808 31340672 40155236 43093424 58407616 80310472 86186848 110426899 116815232 160620944 172373696 220853798 321241888 344747392 441707596 642483776 883415192 1284967552 1766830384 3533660768 7067321536 14134643072