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14412054142044 = 2232132313710320051
BaseRepresentation
bin1101000110111001000101…
…0111100001110001011100
31220000210000211111012000200
43101232101113201301130
53342111341330021134
650352450053223500
73015144064643616
oct321562127416134
956023024435020
1014412054142044
114657132929349
12174919b931b90
13807087a02600
1437b793503db6
1519ed55bae499
hexd1b915e1c5c

14412054142044 has 432 divisors, whose sum is σ = 42229612099584. Its totient is φ = 4134701376000.

The previous prime is 14412054142043. The next prime is 14412054142069. The reversal of 14412054142044 is 44024145021441.

14412054142044 is a `hidden beast` number, since 1 + 44 + 12 + 0 + 541 + 4 + 20 + 44 = 666.

14412054142044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14412054142043) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 718759819 + ... + 718779869.

It is an arithmetic number, because the mean of its divisors is an integer number (97753731712).

Almost surely, 214412054142044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14412054142044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21114806049792).

14412054142044 is an abundant number, since it is smaller than the sum of its proper divisors (27817557957540).

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

14412054142044 is a wasteful number, since it uses less digits than its factorization.

14412054142044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20258 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 14412054142044 its reverse (44024145021441), we get a palindrome (58436199163485).

The spelling of 14412054142044 in words is "fourteen trillion, four hundred twelve billion, fifty-four million, one hundred forty-two thousand, forty-four".