Search a number
-
+
23442342453252 = 2233785692762651
BaseRepresentation
bin1010101010010000110000…
…11111101010000000000100
310002000001210011002122101000
411111020120133222000010
511033034404132001002
6121505132523333300
74636440046055412
oct525103037520004
9102001704078330
1023442342453252
1175189291a0a28
122767349081230
1310107ac8c1a28
145b0888a442b2
152a9bc846561c
hex1552187ea004

23442342453252 has 48 divisors (see below), whose sum is σ = 60777238939200. Its totient is φ = 7814011867200.

The previous prime is 23442342453223. The next prime is 23442342453263. The reversal of 23442342453252 is 25235424324432.

23442342453252 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 2 + 342 + 4 + 53 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23442342453198 and 23442342453207.

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 15 ways as a sum of consecutive naturals, for example, 7104127 + ... + 9866777.

It is an arithmetic number, because the mean of its divisors is an integer number (1266192477900).

Almost surely, 223442342453252 is an apocalyptic number.

It is an amenable number.

23442342453252 is an abundant number, since it is smaller than the sum of its proper divisors (37334896485948).

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

23442342453252 is a wasteful number, since it uses less digits than its factorization.

23442342453252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841233 (or 2841225 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 45.

Adding to 23442342453252 its reverse (25235424324432), we get a palindrome (48677766777684).

The spelling of 23442342453252 in words is "twenty-three trillion, four hundred forty-two billion, three hundred forty-two million, four hundred fifty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 78569 157138 235707 314276 471414 707121 942828 1414242 2121363 2762651 2828484 4242726 5525302 8287953 8485452 11050604 16575906 24863859 33151812 49727718 74591577 99455436 149183154 298366308 217058726419 434117452838 651176179257 868234905676 1302352358514 1953528537771 2604704717028 3907057075542 5860585613313 7814114151084 11721171226626 23442342453252