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35240031144 = 23324353214763
BaseRepresentation
bin100000110100011110…
…000011001110101000
310100221221100001202200
4200310132003032220
51034132421444034
624104500100200
72355165215403
oct406436031650
9110857301680
1035240031144
1113a44095a8a
1269b5994660
133427b85a46
1419c434cd3a
15db3b95a99
hex8347833a8

35240031144 has 96 divisors (see below), whose sum is σ = 99504456480. Its totient is φ = 11256964992.

The previous prime is 35240031109. The next prime is 35240031163. The reversal of 35240031144 is 44113004253.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56707 + ... + 271469.

It is an arithmetic number, because the mean of its divisors is an integer number (1036504755).

Almost surely, 235240031144 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 35240031144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49752228240).

35240031144 is an abundant number, since it is smaller than the sum of its proper divisors (64264425336).

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

35240031144 is a wasteful number, since it uses less digits than its factorization.

35240031144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214871 (or 214864 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 35240031144 its reverse (44113004253), we get a palindrome (79353035397).

The spelling of 35240031144 in words is "thirty-five billion, two hundred forty million, thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 53 72 86 106 129 159 172 212 258 318 344 387 424 477 516 636 774 954 1032 1272 1548 1908 2279 3096 3816 4558 6837 9116 13674 18232 20511 27348 41022 54696 82044 164088 214763 429526 644289 859052 1288578 1718104 1932867 2577156 3865734 5154312 7731468 9234809 11382439 15462936 18469618 22764878 27704427 34147317 36939236 45529756 55408854 68294634 73878472 83113281 91059512 102441951 110817708 136589268 166226562 204883902 221635416 273178536 332453124 409767804 489444877 664906248 819535608 978889754 1468334631 1957779508 2936669262 3915559016 4405003893 5873338524 8810007786 11746677048 17620015572 35240031144