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40642375100 = 22528922720117
BaseRepresentation
bin100101110110011110…
…010110110110111100
310212220102210120110212
4211312132112312330
51131213422000400
630400523051552
72636104326335
oct456636266674
9125812716425
1040642375100
1116266619a58
127a63070bb8
133aa9196a82
141d77a2528c
1510cd0c5335
hex976796dbc

40642375100 has 72 divisors (see below), whose sum is σ = 89582235120. Its totient is φ = 16002680320.

The previous prime is 40642375097. The next prime is 40642375117. The reversal of 40642375100 is 157324604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2010242 + ... + 2030358.

It is an arithmetic number, because the mean of its divisors is an integer number (1244197710).

Almost surely, 240642375100 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 40642375100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44791117560).

40642375100 is an abundant number, since it is smaller than the sum of its proper divisors (48939860020).

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

40642375100 is a wasteful number, since it uses less digits than its factorization.

40642375100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20447 (or 20440 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 40642375100 its reverse (157324604), we get a palindrome (40799699704).

The spelling of 40642375100 in words is "forty billion, six hundred forty-two million, three hundred seventy-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 227 356 445 454 890 908 1135 1780 2225 2270 4450 4540 5675 8900 11350 20117 20203 22700 40234 40406 80468 80812 100585 101015 201170 202030 402340 404060 502925 505075 1005850 1010150 1790413 2011700 2020300 3580826 4566559 7161652 8952065 9133118 17904130 18266236 22832795 35808260 44760325 45665590 89520650 91331180 114163975 179041300 228327950 406423751 456655900 812847502 1625695004 2032118755 4064237510 8128475020 10160593775 20321187550 40642375100