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133141403430 = 236572609081
BaseRepresentation
bin111101111111111011…
…0001001011100100110
3110201122212001002000000
41323333312021130212
54140133144402210
6141055254202130
712422240153640
oct1737766113446
9421585032000
10133141403430
1151512940012
1221978953346
13c72a968129
14663079d890
1536e3a39ac0
hex1effd89726

133141403430 has 112 divisors (see below), whose sum is σ = 410648634144. Its totient is φ = 30432309120.

The previous prime is 133141403429. The next prime is 133141403431. The reversal of 133141403430 is 34304141331.

133141403430 is a `hidden beast` number, since 1 + 3 + 314 + 1 + 4 + 0 + 343 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133141403429) and next prime (133141403431).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133141403394 and 133141403403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133141403431) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1253511 + ... + 1355570.

It is an arithmetic number, because the mean of its divisors is an integer number (3666505662).

Almost surely, 2133141403430 is an apocalyptic number.

133141403430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133141403430 is an abundant number, since it is smaller than the sum of its proper divisors (277507230714).

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

133141403430 is an equidigital number, since it uses as much as digits as its factorization.

133141403430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609113 (or 2609098 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133141403430 its reverse (34304141331), we get a palindrome (167445544761).

The spelling of 133141403430 in words is "one hundred thirty-three billion, one hundred forty-one million, four hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 729 810 945 1134 1215 1458 1701 1890 2430 2835 3402 3645 5103 5670 7290 8505 10206 17010 25515 51030 2609081 5218162 7827243 13045405 15654486 18263567 23481729 26090810 36527134 39136215 46963458 54790701 70445187 78272430 91317835 109581402 117408645 140890374 164372103 182635670 211335561 234817290 273953505 328744206 352225935 422671122 493116309 547907010 634006683 704451870 821860515 986232618 1056677805 1268013366 1479348927 1643721030 1902020049 2113355610 2465581545 2958697854 3170033415 3804040098 4438046781 4931163090 6340066830 7396744635 8876093562 9510100245 13314140343 14793489270 19020200490 22190233905 26628280686 44380467810 66570701715 133141403430