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42344001220388 = 22721271918906329
BaseRepresentation
bin10011010000010111110110…
…01001101010111100100100
312112221001021020202111000212
421220023323021222330210
521022231003303023023
6230020322101154552
711630152552503500
oct1150137311527444
9175831236674025
1042344001220388
1112545a988682aa
1248ba6743bba58
131a8203996acca
14a65663c29300
154d66e82a6e78
hex2682fb26af24

42344001220388 has 72 divisors (see below), whose sum is σ = 87333904465920. Its totient is φ = 17910269354880.

The previous prime is 42344001220387. The next prime is 42344001220427. The reversal of 42344001220388 is 88302210044324.

42344001220388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42344001220387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301208 + ... + 9207536.

It is an arithmetic number, because the mean of its divisors is an integer number (1212970895360).

Almost surely, 242344001220388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42344001220388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43666952232960).

42344001220388 is an abundant number, since it is smaller than the sum of its proper divisors (44989903245532).

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

42344001220388 is a wasteful number, since it uses less digits than its factorization.

42344001220388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8906665 (or 8906656 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 41.

The spelling of 42344001220388 in words is "forty-two trillion, three hundred forty-four billion, one million, two hundred twenty thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 98 127 191 196 254 382 508 764 889 1337 1778 2674 3556 5348 6223 9359 12446 18718 24257 24892 37436 48514 97028 169799 339598 679196 1188593 2377186 4754372 8906329 17812658 35625316 62344303 124688606 249377212 436410121 872820242 1131103783 1701108839 1745640484 2262207566 3402217678 4524415132 6804435356 7917726481 11907761873 15835452962 23815523746 31670905924 47631047492 55424085367 83354333111 110848170734 166708666222 216040822553 221696341468 333417332444 432081645106 864163290212 1512285757871 3024571515742 6049143031484 10586000305097 21172000610194 42344001220388