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14041269000 = 2336531117103
BaseRepresentation
bin11010001001110110…
…01100001100001000
31100020120010101000000
431010323030030020
5212224031102000
610241145043000
71004645550213
oct150473141410
940216111000
1014041269000
115a55a26250
12287a486460
13142a02b1c5
14972b7a77a
15572a86000
hex344ecc308

14041269000 has 896 divisors, whose sum is σ = 57454375680. Its totient is φ = 3172608000.

The previous prime is 14041268987. The next prime is 14041269001. The reversal of 14041269000 is 96214041.

It is a super-2 number, since 2×140412690002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14041269001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 136322949 + ... + 136323051.

Almost surely, 214041269000 is an apocalyptic number.

14041269000 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 14041269000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28727187840).

14041269000 is an abundant number, since it is smaller than the sum of its proper divisors (43413106680).

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

14041269000 is a wasteful number, since it uses less digits than its factorization.

14041269000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 14041269000 in words is "fourteen billion, forty-one million, two hundred sixty-nine thousand".