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20434332144 = 243676353959
BaseRepresentation
bin10011000001111110…
…110010100111110000
31221202002210121221110
4103001332302213300
5313322142112034
613215402353320
71322244646242
oct230176624760
957662717843
1020434332144
118736714206
123b634bb840
131c08679cc5
14dbbc66092
157e8e61de9
hex4c1fb29f0

20434332144 has 40 divisors (see below), whose sum is σ = 53576590720. Its totient is φ = 6709779648.

The previous prime is 20434332143. The next prime is 20434332151. The reversal of 20434332144 is 44123343402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434332143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3173764 + ... + 3180195.

It is an arithmetic number, because the mean of its divisors is an integer number (1339414768).

Almost surely, 220434332144 is an apocalyptic number.

20434332144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20434332144 is an abundant number, since it is smaller than the sum of its proper divisors (33142258576).

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

20434332144 is a wasteful number, since it uses less digits than its factorization.

20434332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354037 (or 6354031 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 20434332144 its reverse (44123343402), we get a palindrome (64557675546).

The spelling of 20434332144 in words is "twenty billion, four hundred thirty-four million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 6353959 12707918 19061877 25415836 38123754 50831672 76247508 101663344 152495016 304990032 425715253 851430506 1277145759 1702861012 2554291518 3405722024 5108583036 6811444048 10217166072 20434332144