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3135311452 = 22721329151281
BaseRepresentation
bin1011101011100001…
…0000111001011100
322002111122022202101
42322320100321130
522410114431302
61235040334444
7140460464500
oct27270207134
98074568671
103135311452
11136988a999
12736014424
133ac73c7a0
1421a58a300
151353c1287
hexbae10e5c

3135311452 has 144 divisors (see below), whose sum is σ = 7183149120. Its totient is φ = 1185408000.

The previous prime is 3135311381. The next prime is 3135311483. The reversal of 3135311452 is 2541135313.

It is a happy number.

3135311452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3135311452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11157552 + ... + 11157832.

It is an arithmetic number, because the mean of its divisors is an integer number (49882980).

Almost surely, 23135311452 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 3135311452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591574560).

3135311452 is an abundant number, since it is smaller than the sum of its proper divisors (4047837668).

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

3135311452 is a wasteful number, since it uses less digits than its factorization.

3135311452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 3135311452 is about 55993.8519125091. The cubic root of 3135311452 is about 1463.6151499933.

Adding to 3135311452 its reverse (2541135313), we get a palindrome (5676446765).

The spelling of 3135311452 in words is "three billion, one hundred thirty-five million, three hundred eleven thousand, four hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 29 49 52 58 91 98 116 151 182 196 203 281 302 364 377 406 562 604 637 754 812 1057 1124 1274 1421 1508 1963 1967 2114 2548 2639 2842 3653 3926 3934 4228 4379 5278 5684 7306 7399 7852 7868 8149 8758 10556 13741 13769 14612 14798 16298 17516 18473 25571 27482 27538 29596 30653 32596 36946 42431 51142 54964 55076 56927 57043 61306 73892 84862 96187 102284 105937 113854 114086 122612 169724 178997 192374 211874 214571 227708 228172 297017 357994 384748 398489 399301 423748 429142 551603 594034 715988 741559 796978 798602 858284 1103206 1188068 1230499 1483118 1593956 1597204 2079119 2206412 2460998 2789423 2966236 3861221 4158238 4921996 5190913 5578846 7722442 8316476 8613493 10381826 11157692 15444884 15996487 17226986 20763652 27028547 31992974 34453972 54057094 60294451 63985948 108114188 111975409 120588902 223950818 241177804 447901636 783827863 1567655726 3135311452