Search a number
-
+
5145235321324 = 227319936751349
BaseRepresentation
bin100101011011111011111…
…1011000111000111101100
3200012212202021222212220011
41022313313323013013230
51133244420220240244
614535404413303004
71040505504424000
oct112676773070754
920185667885804
105145235321324
11170409a22603a
126b1220a94a64
132b4269488217
1413b060410700
158dc8cd7e434
hex4adf7ec71ec

5145235321324 has 96 divisors (see below), whose sum is σ = 10582208000000. Its totient is φ = 2187999076032.

The previous prime is 5145235321313. The next prime is 5145235321327. The reversal of 5145235321324 is 4231235325415.

It is a super-2 number, since 2×51452353213242 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5145235321327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100175602 + ... + 100226950.

Almost surely, 25145235321324 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 5145235321324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291104000000).

5145235321324 is an abundant number, since it is smaller than the sum of its proper divisors (5436972678676).

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

5145235321324 is a wasteful number, since it uses less digits than its factorization.

5145235321324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51940 (or 51924 counting only the distinct ones).

The product of its digits is 432000, while the sum is 40.

The spelling of 5145235321324 in words is "five trillion, one hundred forty-five billion, two hundred thirty-five million, three hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 199 343 367 398 686 734 796 1372 1393 1468 2569 2786 5138 5572 9751 10276 17983 19502 35966 39004 51349 68257 71932 73033 102698 125881 136514 146066 205396 251762 273028 292132 359443 503524 511231 718886 1022462 1437772 2044924 2516101 3578617 5032202 7157234 10064404 10218451 14314468 17612707 18845083 20436902 25050319 35225414 37690166 40873804 50100638 70450828 71529157 75380332 100201276 131915581 143058314 263831162 286116628 500704099 527662324 923409067 1001408198 1846818134 2002816396 3504928693 3693636268 3750171517 6463863469 7009857386 7500343034 12927726938 14019714772 15000686068 25855453876 26251200619 52502401238 105004802476 183758404333 367516808666 735033617332 1286308830331 2572617660662 5145235321324