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14706012000 = 253531225501
BaseRepresentation
bin11011011001000101…
…11110111101100000
31101221212221210222010
431230202332331200
5220104214341000
610431132512520
71030300016361
oct155442767540
941855853863
1014706012000
116267184529
122a2501b740
131504974864
149d7177b68
155b10e1d50
hex36c8bef60

14706012000 has 96 divisors (see below), whose sum is σ = 48176934624. Its totient is φ = 3921600000.

The previous prime is 14706011963. The next prime is 14706012001. The reversal of 14706012000 is 21060741.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14706012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600751 + ... + 624750.

It is an arithmetic number, because the mean of its divisors is an integer number (501843069).

Almost surely, 214706012000 is an apocalyptic number.

14706012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14706012000 is an abundant number, since it is smaller than the sum of its proper divisors (33470922624).

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

14706012000 is a wasteful number, since it uses less digits than its factorization.

14706012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225529 (or 1225511 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 14706012000 its reverse (21060741), we get a palindrome (14727072741).

The spelling of 14706012000 in words is "fourteen billion, seven hundred six million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1225501 2451002 3676503 4902004 6127505 7353006 9804008 12255010 14706012 18382515 19608016 24510020 29412024 30637525 36765030 39216032 49020040 58824048 61275050 73530060 91912575 98040080 117648096 122550100 147060120 153187625 183825150 196080160 245100200 294120240 306375250 367650300 459562875 490200400 588240480 612750500 735300600 919125750 980400800 1225501000 1470601200 1838251500 2451002000 2941202400 3676503000 4902004000 7353006000 14706012000