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35142745050 = 235527413201
BaseRepresentation
bin100000101110101010…
…111011101111011010
310100201011021102100000
4200232222323233122
51033433020320200
624051102553430
72352604255440
oct405652735732
9110634242300
1035142745050
11139a4188556
126989298876
1334109825ca
1419b5466b90
15daa37a300
hex82eabbbda

35142745050 has 144 divisors (see below), whose sum is σ = 111901712832. Its totient is φ = 8032608000.

The previous prime is 35142745039. The next prime is 35142745067. The reversal of 35142745050 is 5054724153.

35142745050 is a `hidden beast` number, since 3 + 5 + 142 + 7 + 4 + 505 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 35142744996 and 35142745014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121551 + ... + 291650.

It is an arithmetic number, because the mean of its divisors is an integer number (777095228).

Almost surely, 235142745050 is an apocalyptic number.

35142745050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

35142745050 is an abundant number, since it is smaller than the sum of its proper divisors (76758967782).

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

35142745050 is a wasteful number, since it uses less digits than its factorization.

35142745050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413235 (or 413218 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 35142745050 in words is "thirty-five billion, one hundred forty-two million, seven hundred forty-five thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 243 270 315 350 378 405 450 486 525 567 630 675 810 945 1050 1134 1215 1350 1575 1701 1890 2025 2430 2835 3150 3402 4050 4725 5670 6075 8505 9450 12150 14175 17010 28350 42525 85050 413201 826402 1239603 2066005 2479206 2892407 3718809 4132010 5784814 6198015 7437618 8677221 10330025 11156427 12396030 14462035 17354442 18594045 20660050 22312854 26031663 28924070 30990075 33469281 37188090 43386105 52063326 55782135 61980150 66938562 72310175 78094989 86772210 92970225 100407843 111564270 130158315 144620350 156189978 167346405 185940450 200815686 216930525 234284967 260316630 278910675 334692810 390474945 433861050 468569934 502039215 557821350 650791575 702854901 780949890 836732025 1004078430 1171424835 1301583150 1405709802 1673464050 1952374725 2342849670 2510196075 3514274505 3904749450 5020392150 5857124175 7028549010 11714248350 17571372525 35142745050