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14022131060 = 2257223361409
BaseRepresentation
bin11010000111100100…
…01011110101110100
31100012020010001200102
431003302023311310
5212204131143220
610235222533232
71004324101400
oct150362136564
940166101612
1014022131060
115a46144673
122873b97218
13142608a292
149703d8100
15571055775
hex343c8bd74

14022131060 has 72 divisors (see below), whose sum is σ = 34401636360. Its totient is φ = 4786876416.

The previous prime is 14022131059. The next prime is 14022131089. The reversal of 14022131060 is 6013122041.

It can be written as a sum of positive squares in 4 ways, for example, as 2929407376 + 11092723684 = 54124^2 + 105322^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197636 + ... + 259044.

It is an arithmetic number, because the mean of its divisors is an integer number (477800505).

Almost surely, 214022131060 is an apocalyptic number.

14022131060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14022131060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200818180).

14022131060 is an abundant number, since it is smaller than the sum of its proper divisors (20379505300).

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

14022131060 is a wasteful number, since it uses less digits than its factorization.

14022131060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61665 (or 61656 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 14022131060 in words is "fourteen billion, twenty-two million, one hundred thirty-one thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 233 245 466 490 932 980 1165 1631 2330 3262 4660 6524 8155 11417 16310 22834 32620 45668 57085 61409 114170 122818 228340 245636 307045 429863 614090 859726 1228180 1719452 2149315 3009041 4298630 6018082 8597260 12036164 14308297 15045205 28616594 30090410 57233188 60180820 71541485 100158079 143082970 200316158 286165940 400632316 500790395 701106553 1001580790 1402213106 2003161580 2804426212 3505532765 7011065530 14022131060