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14205540150 = 23252241130987
BaseRepresentation
bin11010011101011011…
…10101011100110110
31100200000020012122200
431032231311130312
5213043104241100
610305334005330
71012012045644
oct151655653466
940600205580
1014205540150
11602a72562a
1229054a6846
131455085a79
1498a8dc194
155821d3e00
hex34eb75736

14205540150 has 72 divisors (see below), whose sum is σ = 38324207064. Its totient is φ = 3772396800.

The previous prime is 14205540137. The next prime is 14205540199. The reversal of 14205540150 is 5104550241.

14205540150 is a `hidden beast` number, since 1 + 4 + 205 + 5 + 401 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42957 + ... + 173943.

Almost surely, 214205540150 is an apocalyptic number.

14205540150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14205540150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19162103532).

14205540150 is an abundant number, since it is smaller than the sum of its proper divisors (24118666914).

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

14205540150 is a wasteful number, since it uses less digits than its factorization.

14205540150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131246 (or 131238 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 14205540150 in words is "fourteen billion, two hundred five million, five hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 241 450 482 723 1205 1446 2169 2410 3615 4338 6025 7230 10845 12050 18075 21690 36150 54225 108450 130987 261974 392961 654935 785922 1178883 1309870 1964805 2357766 3274675 3929610 5894415 6549350 9824025 11788830 19648050 29472075 31567867 58944150 63135734 94703601 157839335 189407202 284110803 315678670 473518005 568221606 789196675 947036010 1420554015 1578393350 2367590025 2841108030 4735180050 7102770075 14205540150