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14144124312 = 2333173378509
BaseRepresentation
bin11010010110000111…
…00011010110011000
31100111201122221222000
431023003203112120
5212431343434222
610255301401000
71010335034013
oct151303432630
940451587860
1014144124312
115aa8a97a3a
1228a8a09160
131445431536
149826b237a
1557bb019ac
hex34b0e3598

14144124312 has 64 divisors (see below), whose sum is σ = 39516444000. Its totient is φ = 4687443072.

The previous prime is 14144124307. The next prime is 14144124317. The reversal of 14144124312 is 21342144141.

14144124312 is a `hidden beast` number, since 1 + 414 + 4 + 1 + 243 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (14144124307) and next prime (14144124317).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14144124317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151887 + ... + 226622.

Almost surely, 214144124312 is an apocalyptic number.

14144124312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14144124312 is an abundant number, since it is smaller than the sum of its proper divisors (25372319688).

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

14144124312 is a wasteful number, since it uses less digits than its factorization.

14144124312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378697 (or 378687 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 14144124312 its reverse (21342144141), we get a palindrome (35486268453).

The spelling of 14144124312 in words is "fourteen billion, one hundred forty-four million, one hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 173 216 346 519 692 1038 1384 1557 2076 3114 4152 4671 6228 9342 12456 18684 37368 378509 757018 1135527 1514036 2271054 3028072 3406581 4542108 6813162 9084216 10219743 13626324 20439486 27252648 40878972 65482057 81757944 130964114 196446171 261928228 392892342 523856456 589338513 785784684 1178677026 1571569368 1768015539 2357354052 3536031078 4714708104 7072062156 14144124312