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12014154240 = 293511712003
BaseRepresentation
bin10110011000001100…
…10111001000000000
31011000021202021022120
423030012113020000
5144101110413430
65304053004240
7603502424514
oct131406271000
934007667276
1012014154240
1151057499a0
1223b3623680
13119607c20a
1481d864144
154a4b19610
hex2cc197200

12014154240 has 320 divisors, whose sum is σ = 42510707712. Its totient is φ = 2870067200.

The previous prime is 12014154239. The next prime is 12014154263. The reversal of 12014154240 is 4245141021.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12014154240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5997079 + ... + 5999081.

Almost surely, 212014154240 is an apocalyptic number.

12014154240 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 12014154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21255353856).

12014154240 is an abundant number, since it is smaller than the sum of its proper divisors (30496553472).

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

12014154240 is a wasteful number, since it uses less digits than its factorization.

12014154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 12014154240 its reverse (4245141021), we get a palindrome (16259295261).

The spelling of 12014154240 in words is "twelve billion, fourteen million, one hundred fifty-four thousand, two hundred forty".