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42233012204320 = 2557229686323993
BaseRepresentation
bin10011001101001001000111…
…01100001011001100100000
312112112102210020100021200001
421212210203230023030200
521013421202111014240
6225453324501305344
711616143261440330
oct1146444354131440
9175472706307601
1042233012204320
1112502a13416843
1248a105a405254
131a7472c5ab5c2
14a601355570c0
154d389e44c89a
hex266923b0b320

42233012204320 has 192 divisors, whose sum is σ = 114548538424320. Its totient is φ = 14413957521408.

The previous prime is 42233012204309. The next prime is 42233012204371. The reversal of 42233012204320 is 2340221033224.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1760210244 + ... + 1760234236.

It is an arithmetic number, because the mean of its divisors is an integer number (596606970960).

Almost surely, 242233012204320 is an apocalyptic number.

42233012204320 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 42233012204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57274269212160).

42233012204320 is an abundant number, since it is smaller than the sum of its proper divisors (72315526220000).

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

42233012204320 is a wasteful number, since it uses less digits than its factorization.

42233012204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31107 (or 31099 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42233012204320 its reverse (2340221033224), we get a palindrome (44573233237544).

The spelling of 42233012204320 in words is "forty-two trillion, two hundred thirty-three billion, twelve million, two hundred four thousand, three hundred twenty".