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14130607104 = 210322935233
BaseRepresentation
bin11010010100011111…
…11111010000000000
31100110210020012211200
431022033333100000
5212414413411404
610254055541200
71010112115155
oct151217772000
940423205750
1014130607104
115aa13a5299
1228a438a800
1314426aaaa3
1498099422c
1557a831839
hex34a3ff400

14130607104 has 132 divisors (see below), whose sum is σ = 40948900356. Its totient is φ = 4693229568.

The previous prime is 14130607103. The next prime is 14130607109. The reversal of 14130607104 is 40170603141.

It is a happy number.

14130607104 is a `hidden beast` number, since 1 + 41 + 3 + 0 + 607 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13493145600 + 637461504 = 116160^2 + 25248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130607103) 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, 2697672 + ... + 2702904.

Almost surely, 214130607104 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 14130607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20474450178).

14130607104 is an abundant number, since it is smaller than the sum of its proper divisors (26818293252).

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

14130607104 is a wasteful number, since it uses less digits than its factorization.

14130607104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 14130607104 in words is "fourteen billion, one hundred thirty million, six hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 293 384 512 576 586 768 879 1024 1152 1172 1536 1758 2304 2344 2637 3072 3516 4608 4688 5233 5274 7032 9216 9376 10466 10548 14064 15699 18752 20932 21096 28128 31398 37504 41864 42192 47097 56256 62796 75008 83728 84384 94194 112512 125592 150016 167456 168768 188388 225024 251184 300032 334912 337536 376776 450048 502368 669824 675072 753552 900096 1004736 1339648 1350144 1507104 1533269 2009472 2679296 2700288 3014208 3066538 4018944 4599807 5358592 6028416 6133076 8037888 9199614 12056832 12266152 13799421 16075776 18399228 24113664 24532304 27598842 36798456 48227328 49064608 55197684 73596912 98129216 110395368 147193824 196258432 220790736 294387648 392516864 441581472 588775296 785033728 883162944 1177550592 1570067456 1766325888 2355101184 3532651776 4710202368 7065303552 14130607104