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5340114252 = 22321170119237
BaseRepresentation
bin1001111100100101…
…11010110101001100
3111210011100220121100
410332102322311030
541414032124002
62241521103100
7246222136134
oct47622726514
914704326540
105340114252
1122a039a970
121050487a90
13671463225
14389317ac4
15213c3b11c
hex13e4bad4c

5340114252 has 72 divisors (see below), whose sum is σ = 14747542992. Its totient is φ = 1615824000.

The previous prime is 5340114223. The next prime is 5340114253. The reversal of 5340114252 is 2524110435.

5340114252 is a `hidden beast` number, since 5 + 3 + 401 + 1 + 4 + 252 = 666.

It is not an unprimeable number, because it can be changed into a prime (5340114253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267978 + ... + 287214.

It is an arithmetic number, because the mean of its divisors is an integer number (204826986).

Almost surely, 25340114252 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 5340114252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373771496).

5340114252 is an abundant number, since it is smaller than the sum of its proper divisors (9407428740).

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

5340114252 is a wasteful number, since it uses less digits than its factorization.

5340114252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19959 (or 19954 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5340114252 is about 73076.0853631337. The cubic root of 5340114252 is about 1747.9010756418.

Adding to 5340114252 its reverse (2524110435), we get a palindrome (7864224687).

The spelling of 5340114252 in words is "five billion, three hundred forty million, one hundred fourteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 701 1402 2103 2804 4206 6309 7711 8412 12618 15422 19237 23133 25236 30844 38474 46266 57711 69399 76948 92532 115422 138798 173133 211607 230844 277596 346266 423214 634821 692532 846428 1269642 1904463 2539284 3808926 7617852 13485137 26970274 40455411 53940548 80910822 121366233 148336507 161821644 242732466 296673014 445009521 485464932 593346028 890019042 1335028563 1780038084 2670057126 5340114252