Search a number
-
+
35244542352140 = 22511311515120467
BaseRepresentation
bin10000000001110000000100…
…11011010101101100001100
311121210100022202101111121122
420000320002123111230030
514104421310320232030
6202543041431020112
710265222421012332
oct1000700233255414
9147710282344548
1035244542352140
1110259143375190
123b52765b0a638
131688713989a64
1489bbb8793b52
15411bd110d8e5
hex200e026d5b0c

35244542352140 has 48 divisors (see below), whose sum is σ = 81001663352064. Its totient is φ = 12774987556800.

The previous prime is 35244542352109. The next prime is 35244542352163. The reversal of 35244542352140 is 4125324544253.

It is a super-2 number, since 2×352445423521402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 35244542352091 and 35244542352100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 257491814 + ... + 257628653.

It is an arithmetic number, because the mean of its divisors is an integer number (1687534653168).

Almost surely, 235244542352140 is an apocalyptic number.

It is an amenable number.

35244542352140 is an abundant number, since it is smaller than the sum of its proper divisors (45757120999924).

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

35244542352140 is a wasteful number, since it uses less digits than its factorization.

35244542352140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515120798 (or 515120796 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 44.

Adding to 35244542352140 its reverse (4125324544253), we get a palindrome (39369866896393).

The spelling of 35244542352140 in words is "thirty-five trillion, two hundred forty-four billion, five hundred forty-two million, three hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 311 622 1244 1555 3110 3421 6220 6842 13684 17105 34210 68420 515120467 1030240934 2060481868 2575602335 5151204670 5666325137 10302409340 11332650274 22665300548 28331625685 56663251370 113326502740 160202465237 320404930474 640809860948 801012326185 1602024652370 1762227117607 3204049304740 3524454235214 7048908470428 8811135588035 17622271176070 35244542352140