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14001200000040 = 23351119913761099
BaseRepresentation
bin1100101110111110100010…
…0011010110110000101000
31211120111112200221021100110
43023233220203112300220
53313343424200000130
645440021255134320
72643360534236001
oct313575043266050
954514480837313
1014001200000040
11450896a431460
1216a16396743a0
137a73cc748446
1436593999c1a8
1519430b438ab0
hexcbbe88d6c28

14001200000040 has 256 divisors, whose sum is σ = 48239867520000. Its totient is φ = 3215182049280.

The previous prime is 14001199999999. The next prime is 14001200000069. The reversal of 14001200000040 is 4000000210041.

14001200000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140012000000402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14001199999971 and 14001200000025.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229125411 + ... + 229186509.

It is an arithmetic number, because the mean of its divisors is an integer number (188436982500).

Almost surely, 214001200000040 is an apocalyptic number.

14001200000040 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 14001200000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24119933760000).

14001200000040 is an abundant number, since it is smaller than the sum of its proper divisors (34238667519960).

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

14001200000040 is a wasteful number, since it uses less digits than its factorization.

14001200000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70280 (or 70276 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 14001200000040 its reverse (4000000210041), we get a palindrome (18001200210081).

The spelling of 14001200000040 in words is "fourteen trillion, one billion, two hundred million, forty", and thus it is an aban number.