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4042423131040 = 2557191311450103
BaseRepresentation
bin111010110100110011001…
…100011101101110100000
3112022110012102022001022201
4322310303030131232200
51012212340310143130
612333021420542544
7565025004446650
oct72646314355640
915273172261281
104042423131040
111319422520948
125535473b1a54
13234277ba5238
14dd92366c360
1570245586bca
hex3ad3331dba0

4042423131040 has 192 divisors, whose sum is σ = 11576702269440. Its totient is φ = 1303003653120.

The previous prime is 4042423131037. The next prime is 4042423131041. The reversal of 4042423131040 is 401313242404.

It is a super-2 number, since 2×40424231310402 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4042423131041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2062629 + ... + 3512731.

It is an arithmetic number, because the mean of its divisors is an integer number (60295324320).

Almost surely, 24042423131040 is an apocalyptic number.

4042423131040 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 4042423131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788351134720).

4042423131040 is an abundant number, since it is smaller than the sum of its proper divisors (7534279138400).

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

4042423131040 is a wasteful number, since it uses less digits than its factorization.

4042423131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450275 (or 1450267 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4042423131040 its reverse (401313242404), we get a palindrome (4443736373444).

The spelling of 4042423131040 in words is "four trillion, forty-two billion, four hundred twenty-three million, one hundred thirty-one thousand, forty".