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235034153145 = 33511672362271
BaseRepresentation
bin1101101011100100100…
…0001001000010111001
3211110122221020001202000
43122321020021002321
512322322220400040
6255550113331213
722660236224121
oct3327110110271
9743587201660
10235034153145
119074a719a80
1239674566b09
13192186402cc
14b538d5bc81
1561a8eee130
hex36b92090b9

235034153145 has 64 divisors (see below), whose sum is σ = 462627348480. Its totient is φ = 112255070400.

The previous prime is 235034153131. The next prime is 235034153201. The reversal of 235034153145 is 541351430532.

235034153145 is a `hidden beast` number, since 2 + 3 + 50 + 34 + 1 + 531 + 45 = 666.

It is not a de Polignac number, because 235034153145 - 27 = 235034153017 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 1081641 + ... + 1280630.

It is an arithmetic number, because the mean of its divisors is an integer number (7228552320).

Almost surely, 2235034153145 is an apocalyptic number.

It is an amenable number.

235034153145 is a deficient number, since it is larger than the sum of its proper divisors (227593195335).

235034153145 is a wasteful number, since it uses less digits than its factorization.

235034153145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362363 (or 2362357 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 235034153145 its reverse (541351430532), we get a palindrome (776385583677).

The spelling of 235034153145 in words is "two hundred thirty-five billion, thirty-four million, one hundred fifty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 67 99 135 165 201 297 335 495 603 737 1005 1485 1809 2211 3015 3685 6633 9045 11055 19899 33165 99495 2362271 7086813 11811355 21260439 25984981 35434065 63781317 77954943 106302195 129924905 158272157 233864829 318906585 389774715 474816471 701594487 791360785 1169324145 1424449413 1740993727 2374082355 3507972435 4273348239 5222981181 7122247065 8704968635 15668943543 21366741195 26114905905 47006830629 78344717715 235034153145