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4040230320100 = 22521329107167913
BaseRepresentation
bin111010110010110000011…
…111100011011111100100
3112022020112121010201012201
4322302300133203133210
51012143342430220400
612332020045224244
7564616450042102
oct72626037433744
915266477121181
104040230320100
1113184a77615a7
12553034b62084
13233cb87bcb80
14dd796342c72
1570167cda06a
hex3acb07e37e4

4040230320100 has 72 divisors (see below), whose sum is σ = 9767283681960. Its totient is φ = 1440336737280.

The previous prime is 4040230320053. The next prime is 4040230320101. The reversal of 4040230320100 is 10230320404.

It can be written as a sum of positive squares in 12 ways, for example, as 1249011878464 + 2791218441636 = 1117592^2 + 1670694^2 .

It is a super-2 number, since 2×40402303201002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4040230320101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53546257 + ... + 53621656.

It is an arithmetic number, because the mean of its divisors is an integer number (135656717805).

Almost surely, 24040230320100 is an apocalyptic number.

It is an amenable number.

4040230320100 is an abundant number, since it is smaller than the sum of its proper divisors (5727053361860).

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

4040230320100 is a wasteful number, since it uses less digits than its factorization.

4040230320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107167969 (or 107167962 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 4040230320100 its reverse (10230320404), we get a palindrome (4050460640504).

The spelling of 4040230320100 in words is "four trillion, forty billion, two hundred thirty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 145 260 290 325 377 580 650 725 754 1300 1450 1508 1885 2900 3770 7540 9425 18850 37700 107167913 214335826 428671652 535839565 1071679130 1393182869 2143358260 2679197825 2786365738 3107869477 5358395650 5572731476 6215738954 6965914345 10716791300 12431477908 13931828690 15539347385 27863657380 31078694770 34829571725 40402303201 62157389540 69659143450 77696736925 80804606402 139318286900 155393473850 161609212804 202011516005 310786947700 404023032010 808046064020 1010057580025 2020115160050 4040230320100