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14406840832 = 29237316759
BaseRepresentation
bin11010110101011011…
…01111001000000000
31101012001000100021111
431122231233020000
5214001122401312
610341324333104
71020005061256
oct153255571000
941161010244
1014406840832
11612331682a
1229609a4194
1314879a70b7
149a953c5d6
15594be88a7
hex35ab6f200

14406840832 has 80 divisors (see below), whose sum is σ = 30450372480. Its totient is φ = 6795436032.

The previous prime is 14406840829. The next prime is 14406840841. The reversal of 14406840832 is 23804860441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 851269 + ... + 868027.

It is an arithmetic number, because the mean of its divisors is an integer number (380629656).

Almost surely, 214406840832 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 14406840832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15225186240).

14406840832 is an abundant number, since it is smaller than the sum of its proper divisors (16043531648).

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

14406840832 is an equidigital number, since it uses as much as digits as its factorization.

14406840832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16873 (or 16857 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

It can be divided in two parts, 144068 and 40832, that added together give a square (184900 = 4302).

The spelling of 14406840832 in words is "fourteen billion, four hundred six million, eight hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 128 146 184 256 292 368 512 584 736 1168 1472 1679 2336 2944 3358 4672 5888 6716 9344 11776 13432 16759 18688 26864 33518 37376 53728 67036 107456 134072 214912 268144 385457 429824 536288 770914 859648 1072576 1223407 1541828 2145152 2446814 3083656 4290304 4893628 6167312 8580608 9787256 12334624 19574512 24669248 28138361 39149024 49338496 56276722 78298048 98676992 112553444 156596096 197353984 225106888 313192192 450213776 626384384 900427552 1800855104 3601710208 7203420416 14406840832