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4023193524100 = 22522005792
BaseRepresentation
bin111010100010111001000…
…001010101011110000100
3112020121120021101210200021
4322202321001111132010
51011404000020232400
612320121331424524
7563444325465652
oct72427101253604
915217507353607
104023193524100
111311254950603
1254b87b455144
13232501cb53aa
14dca1b805dd2
156e9bc29571a
hex3a8b9055784

4023193524100 has 27 divisors (see below), whose sum is σ = 8730373473157. Its totient is φ = 1609269386480.

The previous prime is 4023193524089. The next prime is 4023193524101. The reversal of 4023193524100 is 14253913204.

The square root of 4023193524100 is 2005790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1448349668676 + 2574843855424 = 1203474^2 + 1604632^2 .

It is a super-2 number, since 2×40231935241002 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4023193524101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19957611 + ... + 20158189.

Almost surely, 24023193524100 is an apocalyptic number.

4023193524100 is the 2005790-th square number.

It is an amenable number.

4023193524100 is an abundant number, since it is smaller than the sum of its proper divisors (4707179949057).

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

4023193524100 is an frugal number, since it uses more digits than its factorization.

4023193524100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401172 (or 200586 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 4023193524100 in words is "four trillion, twenty-three billion, one hundred ninety-three million, five hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 200579 401158 802316 1002895 2005790 4011580 5014475 10028950 20057900 40231935241 80463870482 160927740964 201159676205 402319352410 804638704820 1005798381025 2011596762050 4023193524100