Search a number
-
+
3481013146710 = 2351149127977681
BaseRepresentation
bin110010101001111100100…
…011010101010001010110
3110022210002210100220110010
4302221330203111101112
5424013103331143320
611223053320341050
7506331515354151
oct62517443252126
913283083326403
103481013146710
111122320198290
12482788314786
131c3348164138
14c06a6604c98
1560838537ae0
hex32a7c8d5456

3481013146710 has 128 divisors (see below), whose sum is σ = 9136941792768. Its totient is φ = 841752576000.

The previous prime is 3481013146669. The next prime is 3481013146733. The reversal of 3481013146710 is 176413101843.

It is a happy number.

3481013146710 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 453194070 + ... + 453201750.

It is an arithmetic number, because the mean of its divisors is an integer number (71382357756).

Almost surely, 23481013146710 is an apocalyptic number.

3481013146710 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481013146710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568470896384).

3481013146710 is an abundant number, since it is smaller than the sum of its proper divisors (5655928646058).

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

3481013146710 is a wasteful number, since it uses less digits than its factorization.

3481013146710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990.

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 3481013146710 in words is "three trillion, four hundred eighty-one billion, thirteen million, one hundred forty-six thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 491 982 1473 2455 2797 2946 4910 5401 5594 7365 7681 8391 10802 13985 14730 15362 16203 16782 23043 27005 27970 30767 32406 38405 41955 46086 54010 61534 76810 81015 83910 84491 92301 115215 153835 162030 168982 184602 230430 253473 307670 422455 461505 506946 844910 923010 1267365 1373327 2534730 2746654 3771371 4119981 6866635 7542742 8239962 11314113 13733270 15106597 18856855 20599905 21483757 22628226 30213194 37713710 41199810 41485081 42967514 45319791 56570565 64451271 75532985 82970162 90639582 107418785 113141130 124455243 128902542 151065970 207425405 214837570 226598955 236321327 248910486 322256355 414850810 453197910 472642654 622276215 644512710 708963981 1181606635 1244552430 1417927962 2363213270 3544819905 7089639810 10548524687 21097049374 31645574061 52742623435 63291148122 105485246870 116033771557 158227870305 232067543114 316455740610 348101314671 580168857785 696202629342 1160337715570 1740506573355 3481013146710