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1241131424424 = 23337282745677
BaseRepresentation
bin10010000011111001001…
…100101001101010101000
311101122120120201222000020
4102003321030221222220
5130313314121040144
62350100133440440
7155445252020223
oct22037114515250
94348516658006
101241131424424
114393a7373041
121806584a0120
1390065ba1378
14440dd0945ba
1522440bb4419
hex120f9329aa8

1241131424424 has 96 divisors (see below), whose sum is σ = 3192881237280. Its totient is φ = 402033574656.

The previous prime is 1241131424411. The next prime is 1241131424441. The reversal of 1241131424424 is 4244241311421.

It is a super-3 number, since 3×12411314244243 (a number of 37 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27149074 + ... + 27194750.

It is an arithmetic number, because the mean of its divisors is an integer number (33259179555).

Almost surely, 21241131424424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241131424424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596440618640).

1241131424424 is an abundant number, since it is smaller than the sum of its proper divisors (1951749812856).

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

1241131424424 is a wasteful number, since it uses less digits than its factorization.

1241131424424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46587 (or 46546 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 1241131424424 its reverse (4244241311421), we get a palindrome (5485372735845).

The spelling of 1241131424424 in words is "one trillion, two hundred forty-one billion, one hundred thirty-one million, four hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 827 888 1369 1654 2481 2738 3308 4107 4962 5476 6616 8214 9924 10952 16428 19848 30599 32856 45677 61198 91354 91797 122396 137031 182708 183594 244792 274062 365416 367188 548124 734376 1096248 1132163 1690049 2264326 3380098 3396489 4528652 5070147 6760196 6792978 9057304 10140294 13520392 13585956 20280588 27171912 37774879 40561176 62531813 75549758 113324637 125063626 151099516 187595439 226649274 250127252 302199032 375190878 453298548 500254504 750381756 906597096 1397670523 1500763512 2795341046 4193011569 5590682092 8386023138 11181364184 16772046276 33544092552 51713809351 103427618702 155141428053 206855237404 310282856106 413710474808 620565712212 1241131424424