Search a number
-
+
5140090729228 = 22713191254159263
BaseRepresentation
bin100101011001100010101…
…0010000011001100001100
3200012101110202112112021011
41022303011102003030030
51133203401211313403
614533154115015004
71040234145212140
oct112630522031414
920171422475234
105140090729228
11170199a23a934
126b0225b9a464
132b39296a20a0
1413aad3071220
158da8b3b5a6d
hex4acc548330c

5140090729228 has 96 divisors (see below), whose sum is σ = 11654772899840. Its totient is φ = 1926233084160.

The previous prime is 5140090729223. The next prime is 5140090729273. The reversal of 5140090729228 is 8229270900415.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5140090729223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 86703925 + ... + 86763187.

Almost surely, 25140090729228 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 5140090729228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827386449920).

5140090729228 is an abundant number, since it is smaller than the sum of its proper divisors (6514682170612).

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

5140090729228 is a wasteful number, since it uses less digits than its factorization.

5140090729228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71847 (or 71845 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 5140090729228 in words is "five trillion, one hundred forty billion, ninety million, seven hundred twenty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 494 532 988 1729 3458 6916 12541 25082 50164 59263 87787 118526 163033 175574 237052 238279 326066 351148 414841 476558 652132 770419 829682 953116 1125997 1141231 1540838 1659364 1667953 2251994 2282462 3081676 3097627 3335906 4503988 4564924 5392933 6195254 6671812 7881979 10785866 12390508 14637961 15763958 21571732 21683389 29275922 31527916 43366778 58551844 86733556 102465727 204931454 409862908 743217283 1486434566 2972869132 5202520981 9661824679 10405041962 14121128377 19323649358 20810083924 28242256754 38647298716 56484513508 67632772753 98847898639 135265545506 183574668901 197695797278 270531091012 367149337802 395391594556 734298675604 1285022682307 2570045364614 5140090729228