Search a number
-
+
23140214142329 = 1929223188326273
BaseRepresentation
bin1010100001011110000000…
…01111100111010101111001
310000221011221022101012220102
411100233000033213111321
511013112124310023304
6121114245001205145
74605553035563654
oct520570017472571
9100834838335812
1023140214142329
11741178968a189
12271888aa907b5
13cbb160b7205b
1459ddc6da689b
152a1de3eead1e
hex150bc03e7579

23140214142329 has 16 divisors (see below), whose sum is σ = 25311051225600. Its totient is φ = 21071449921536.

The previous prime is 23140214142323. The next prime is 23140214142341. The reversal of 23140214142329 is 92324141204132.

It is a cyclic number.

It is not a de Polignac number, because 23140214142329 - 224 = 23140197365113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23140214142292 and 23140214142301.

It is not an unprimeable number, because it can be changed into a prime (23140214142323) 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 15 ways as a sum of consecutive naturals, for example, 94040264 + ... + 94286009.

It is an arithmetic number, because the mean of its divisors is an integer number (1581940701600).

Almost surely, 223140214142329 is an apocalyptic number.

23140214142329 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

23140214142329 is a deficient number, since it is larger than the sum of its proper divisors (2170837083271).

23140214142329 is a wasteful number, since it uses less digits than its factorization.

23140214142329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188326544.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 23140214142329 in words is "twenty-three trillion, one hundred forty billion, two hundred fourteen million, one hundred forty-two thousand, three hundred twenty-nine".

Divisors: 1 19 29 223 551 4237 6467 122873 188326273 3578199187 5461461917 41996758879 103767776423 797938418701 1217906007491 23140214142329