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23023440142200 = 23325212790800079
BaseRepresentation
bin1010011110000100011111…
…11110001001111101111000
310000112000112010111101021200
411033002033332021331320
511004204001134022300
6120544453345134200
74564250211140001
oct517021776117570
9100460463441250
1023023440142200
117377205816563
1226ba11b62a360
13cb014112a864
145984aa2961a8
1529dd5c37c200
hex14f08ff89f78

23023440142200 has 72 divisors (see below), whose sum is σ = 77320386483600. Its totient is φ = 6139584037440.

The previous prime is 23023440142163. The next prime is 23023440142201. The reversal of 23023440142200 is 224104432032.

23023440142200 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 3 + 440 + 14 + 2 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023440142201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6395398240 + ... + 6395401839.

Almost surely, 223023440142200 is an apocalyptic number.

23023440142200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23023440142200 is an abundant number, since it is smaller than the sum of its proper divisors (54296946341400).

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

23023440142200 is a wasteful number, since it uses less digits than its factorization.

23023440142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12790800101 (or 12790800089 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 23023440142200 its reverse (224104432032), we get a palindrome (23247544574232).

The spelling of 23023440142200 in words is "twenty-three trillion, twenty-three billion, four hundred forty million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 12790800079 25581600158 38372400237 51163200316 63954000395 76744800474 102326400632 115117200711 127908000790 153489600948 191862001185 230234401422 255816001580 306979201896 319770001975 383724002370 460468802844 511632003160 575586003555 639540003950 767448004740 920937605688 959310005925 1151172007110 1279080007900 1534896009480 1918620011850 2302344014220 2558160015800 2877930017775 3837240023700 4604688028440 5755860035550 7674480047400 11511720071100 23023440142200