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23442998189209 = 31231324992
BaseRepresentation
bin1010101010010001111111…
…00101000101110010011001
310002000010110211222110222221
411111020333211011302121
511033042230014023314
6121505321550144041
74636462230532144
oct525107745056231
9102003424873887
1023442998189209
117519135358075
1227674b07b2021
131010885703781
145b090bb7905b
152a9c15ce2824
hex15523f945c99

23442998189209 has 27 divisors (see below), whose sum is σ = 24350054835519. Its totient is φ = 22568971520160.

The previous prime is 23442998189197. The next prime is 23442998189213. The reversal of 23442998189209 is 90298189924432.

The square root of 23442998189209 is 4841797.

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., 149556225625 + 23293441963584 = 386725^2 + 4826328^2 .

It is not a de Polignac number, because 23442998189209 - 27 = 23442998189081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23442998184209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46979956042 + ... + 46979956540.

It is an arithmetic number, because the mean of its divisors is an integer number (901853882797).

Almost surely, 223442998189209 is an apocalyptic number.

23442998189209 is the 4841797-th square number.

23442998189209 is the 2420899-th centered octagonal number.

It is an amenable number.

23442998189209 is a deficient number, since it is larger than the sum of its proper divisors (907056646310).

23442998189209 is an frugal number, since it uses more digits than its factorization.

23442998189209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 70.

The spelling of 23442998189209 in words is "twenty-three trillion, four hundred forty-two billion, nine hundred ninety-eight million, one hundred eighty-nine thousand, two hundred nine".

Divisors: 1 31 313 499 961 9703 15469 97969 156187 249001 300793 479539 3037039 4841797 7719031 48886531 77937313 94148209 150095707 239289961 1515482461 2416056703 24394378969 46979956291 74897757793 756225748039 23442998189209