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20423040313200 = 24352723931016011
BaseRepresentation
bin1001010010011000111000…
…00100000010011101110000
32200022102102210110001112220
410221030130010002131300
510134102341310010300
6111234114252121040
74205341656243450
oct451143404023560
980272383401486
1020423040313200
1165643a9913798
12235a156a66180
13b51b661574a5
145086a2403d60
152563b43a3da0
hex12931c102770

20423040313200 has 240 divisors, whose sum is σ = 74799096051456. Its totient is φ = 4666168166400.

The previous prime is 20423040313111. The next prime is 20423040313217. The reversal of 20423040313200 is 231304032402.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19593195 + ... + 20609205.

Almost surely, 220423040313200 is an apocalyptic number.

20423040313200 is a gapful number since it is divisible by the number (20) 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 20423040313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37399548025728).

20423040313200 is an abundant number, since it is smaller than the sum of its proper divisors (54376055738256).

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

20423040313200 is a wasteful number, since it uses less digits than its factorization.

20423040313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018432 (or 1018421 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20423040313200 its reverse (231304032402), we get a palindrome (20654344345602).

The spelling of 20423040313200 in words is "twenty trillion, four hundred twenty-three billion, forty million, three hundred thirteen thousand, two hundred".