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14215214260 = 22513373134721
BaseRepresentation
bin11010011110100101…
…01111010010110100
31100200200102201001001
431033102233102310
5213103043324020
610310321213044
71012160220232
oct151722572264
940620381031
1014215214260
116035132965
122908791184
1314570921b0
1498bcd9952
15582e9550a
hex34f4af4b4

14215214260 has 96 divisors (see below), whose sum is σ = 33129627552. Its totient is φ = 5089443840.

The previous prime is 14215214243. The next prime is 14215214261. The reversal of 14215214260 is 6241251241.

It can be written as a sum of positive squares in 16 ways, for example, as 6800971024 + 7414243236 = 82468^2 + 86106^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14215214261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3008700 + ... + 3013420.

It is an arithmetic number, because the mean of its divisors is an integer number (345100287).

Almost surely, 214215214260 is an apocalyptic number.

14215214260 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 14215214260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16564813776).

14215214260 is an abundant number, since it is smaller than the sum of its proper divisors (18914413292).

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

14215214260 is a wasteful number, since it uses less digits than its factorization.

14215214260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 14215214260 in words is "fourteen billion, two hundred fifteen million, two hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 313 370 481 626 740 962 1252 1565 1924 2405 3130 4069 4721 4810 6260 8138 9442 9620 11581 16276 18884 20345 23162 23605 40690 46324 47210 57905 61373 81380 94420 115810 122746 150553 174677 231620 245492 301106 306865 349354 602212 613730 698708 752765 873385 1227460 1477673 1505530 1746770 2270801 2955346 3011060 3493540 4541602 5910692 7388365 9083204 11354005 14776730 19209749 22708010 29553460 38419498 45416020 54673901 76838996 96048745 109347802 192097490 218695604 273369505 384194980 546739010 710760713 1093478020 1421521426 2843042852 3553803565 7107607130 14215214260