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424442345202400 = 255272233728344959
BaseRepresentation
bin110000010000001110010111…
…1001101101010001011100000
32001122211021212210221212010011
41200200130233031222023200
5421113030410332434100
64102414042132014304
7155254642663110100
oct14040345715521340
92048737783855104
10424442345202400
11113270a9574aa38
123b72b92a761394
13152aa983b5b715
1476b5194c0d200
153410abd19ebba
hex182072f36a2e0

424442345202400 has 864 divisors, whose sum is σ = 1296333009377280. Its totient is φ = 134952377978880.

The previous prime is 424442345202391. The next prime is 424442345202433. The reversal of 424442345202400 is 4202543244424.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9440631121 + ... + 9440676079.

It is an arithmetic number, because the mean of its divisors is an integer number (1500385427520).

Almost surely, 2424442345202400 is an apocalyptic number.

424442345202400 is a gapful number since it is divisible by the number (40) 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 424442345202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648166504688640).

424442345202400 is an abundant number, since it is smaller than the sum of its proper divisors (871890664174880).

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

424442345202400 is a wasteful number, since it uses less digits than its factorization.

424442345202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45336 (or 45316 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 40.

Adding to 424442345202400 its reverse (4202543244424), we get a palindrome (428644888446824).

The spelling of 424442345202400 in words is "four hundred twenty-four trillion, four hundred forty-two billion, three hundred forty-five million, two hundred two thousand, four hundred".