Search a number
-
+
245233435041 = 32759674212339
BaseRepresentation
bin1110010001100100001…
…1010100000110100001
3212102222201222021020100
43210121003110012201
513004214224410131
6304354135333013
723501053542630
oct3443103240641
9772881867210
10245233435041
1195003976471
123b640221169
131a1826c2c5a
14bc25757517
1565a46237e6
hex39190d41a1

245233435041 has 96 divisors (see below), whose sum is σ = 419007513600. Its totient is φ = 135321943680.

The previous prime is 245233435019. The next prime is 245233435079. The reversal of 245233435041 is 140534332542.

245233435041 is a `hidden beast` number, since 2 + 4 + 523 + 3 + 43 + 50 + 41 = 666.

It is not a de Polignac number, because 245233435041 - 29 = 245233434529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 245233434987 and 245233435005.

It is not an unprimeable number, because it can be changed into a prime (245233435091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104844250 + ... + 104846588.

It is an arithmetic number, because the mean of its divisors is an integer number (4364661600).

Almost surely, 2245233435041 is an apocalyptic number.

245233435041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

245233435041 is a deficient number, since it is larger than the sum of its proper divisors (173774078559).

245233435041 is a wasteful number, since it uses less digits than its factorization.

245233435041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 245233435041 its reverse (140534332542), we get a palindrome (385767767583).

The spelling of 245233435041 in words is "two hundred forty-five billion, two hundred thirty-three million, four hundred thirty-five thousand, forty-one".

Divisors: 1 3 7 9 21 59 63 67 177 201 413 421 469 531 603 1239 1263 1407 2339 2947 3717 3789 3953 4221 7017 8841 11859 16373 21051 24839 26523 27671 28207 35577 49119 74517 83013 84621 138001 147357 156713 173873 197449 223551 249039 253863 414003 470139 521619 592347 966007 984719 1096991 1242009 1410417 1564857 1664213 1777041 2898021 2954157 3290973 4992639 6893033 8694063 8862471 9246067 9872919 11649491 14977917 20679099 27738201 34948473 58098421 62037297 64722469 65976173 83214603 104845419 174295263 194167407 197928519 406688947 461833211 522885789 582502221 593785557 1220066841 1385499633 3660200523 3892594207 4156498899 11677782621 27248159449 35033347863 81744478347 245233435041