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14012032210020 = 2232513232467105533
BaseRepresentation
bin1100101111100110111000…
…1100111101010001100100
31211121112111121122112221200
43023321232030331101210
53314033120221210040
645445012211042500
72644223135426055
oct313715614752144
954545447575850
1014012032210020
114512518987109
1216a37612a0430
137a8437985650
1436628647272c
151947423d2630
hexcbe6e33d464

14012032210020 has 288 divisors, whose sum is σ = 47782566703872. Its totient is φ = 3297785508864.

The previous prime is 14012032209983. The next prime is 14012032210037. The reversal of 14012032210020 is 2001223021041.

It is a happy number.

14012032210020 is a `hidden beast` number, since 1 + 401 + 2 + 0 + 32 + 210 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14012032209975 and 14012032210002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132721174 + ... + 132826706.

It is an arithmetic number, because the mean of its divisors is an integer number (165911689944).

Almost surely, 214012032210020 is an apocalyptic number.

14012032210020 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 14012032210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23891283351936).

14012032210020 is an abundant number, since it is smaller than the sum of its proper divisors (33770534493852).

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

14012032210020 is a wasteful number, since it uses less digits than its factorization.

14012032210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108051 (or 108046 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14012032210020 its reverse (2001223021041), we get a palindrome (16013255231061).

The spelling of 14012032210020 in words is "fourteen trillion, twelve billion, thirty-two million, two hundred ten thousand, twenty".