Search a number
-
+
3135441012 = 22311593671097
BaseRepresentation
bin1011101011100011…
…0000100001110100
322002111212220110220
42322320300201310
522410133103022
61235043214340
7140461544304
oct27270604164
98074786426
103135441012
111369969270
127360773b0
133ac786752
1421a5c1604
151353e985c
hexbae30874

3135441012 has 96 divisors (see below), whose sum is σ = 8145930240. Its totient is φ = 930635520.

The previous prime is 3135440989. The next prime is 3135441059. The reversal of 3135441012 is 2101445313.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2857648 + ... + 2858744.

It is an arithmetic number, because the mean of its divisors is an integer number (84853440).

Almost surely, 23135441012 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 3135441012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072965120).

3135441012 is an abundant number, since it is smaller than the sum of its proper divisors (5010489228).

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

3135441012 is a wasteful number, since it uses less digits than its factorization.

3135441012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3135441012 is about 55995.0088132862. The cubic root of 3135441012 is about 1463.6353099646.

Adding to 3135441012 its reverse (2101445313), we get a palindrome (5236886325).

The spelling of 3135441012 in words is "three billion, one hundred thirty-five million, four hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 367 649 708 734 1097 1101 1298 1468 1947 2194 2202 2596 3291 3894 4037 4388 4404 6582 7788 8074 12067 12111 13164 16148 21653 24134 24222 36201 43306 48268 48444 64723 64959 72402 86612 129446 129918 144804 194169 238183 258892 259836 388338 402599 476366 711953 714549 776676 805198 952732 1207797 1423906 1429098 1610396 2135859 2415594 2847812 2858196 4271718 4428589 4831188 8543436 8857178 13285767 17714356 23753341 26571534 47506682 53143068 71260023 95013364 142520046 261286751 285040092 522573502 783860253 1045147004 1567720506 3135441012