Search a number
-
+
23234041251232 = 257217871625197
BaseRepresentation
bin1010100100001100110001…
…10001101000010110100000
310001021011010021122012110221
411102012120301220112200
511021131304030014412
6121225323213532424
74615414126054300
oct522063061502640
9101234107565427
1023234041251232
117448557637899
122732ab54a4114
13cc6c648307c6
145a4768291600
152a458634ab07
hex152198c685a0

23234041251232 has 72 divisors (see below), whose sum is σ = 56340109548324. Its totient is φ = 9371714107392.

The previous prime is 23234041251173. The next prime is 23234041251331. The reversal of 23234041251232 is 23215214043232.

It can be written as a sum of positive squares in 2 ways, for example, as 20137440850576 + 3096600400656 = 4487476^2 + 1759716^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435785943 + ... + 435839254.

Almost surely, 223234041251232 is an apocalyptic number.

It is an amenable number.

23234041251232 is an abundant number, since it is smaller than the sum of its proper divisors (33106068297092).

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

23234041251232 is a wasteful number, since it uses less digits than its factorization.

23234041251232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871625238 (or 871625223 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 23234041251232 its reverse (23215214043232), we get a palindrome (46449255294464).

The spelling of 23234041251232 in words is "twenty-three trillion, two hundred thirty-four billion, forty-one million, two hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1666 1904 3332 3808 6664 13328 26656 871625197 1743250394 3486500788 6101376379 6973001576 12202752758 13946003152 14817628349 24405505516 27892006304 29635256698 42709634653 48811011032 59270513396 85419269306 97622022064 103723398443 118541026792 170838538612 195244044128 207446796886 237082053584 341677077224 414893593772 474164107168 683354154448 726063789101 829787187544 1366708308896 1452127578202 1659574375088 2904255156404 3319148750176 5808510312808 11617020625616 23234041251232