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42001222210024 = 237112310334982469
BaseRepresentation
bin10011000110011001010111…
…11011100001000111101000
312111201021111101120120020111
421203030223323201013220
521001122000341210044
6225155032313304104
711563326304132240
oct1143145373410750
9174637441516214
1042001222210024
1112423688a71390
124864150405034
131a589100cb61c
14a52c273dab20
154cc835170b34
hex26332bee11e8

42001222210024 has 256 divisors, whose sum is σ = 103745940480000. Its totient is φ = 15456060195840.

The previous prime is 42001222210021. The next prime is 42001222210063.

42001222210024 is nontrivially palindromic in base 10.

42001222210024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42001222209977 and 42001222210004.

It is not an unprimeable number, because it can be changed into a prime (42001222210021) 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 63 ways as a sum of consecutive naturals, for example, 509255862 + ... + 509338330.

It is an arithmetic number, because the mean of its divisors is an integer number (405257580000).

Almost surely, 242001222210024 is an apocalyptic number.

42001222210024 is a gapful number since it is divisible by the number (44) 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 42001222210024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51872970240000).

42001222210024 is an abundant number, since it is smaller than the sum of its proper divisors (61744718269976).

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

42001222210024 is a wasteful number, since it uses less digits than its factorization.

42001222210024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82968 (or 82964 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 4200122 and 2210024, that added together give a palindrome (6410146).

The spelling of 42001222210024 in words is "forty-two trillion, one billion, two hundred twenty-two million, two hundred ten thousand, twenty-four".