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133440342030 = 2355419131059
BaseRepresentation
bin111110001000110101…
…0100000100000001110
3110202102200112201200000
41330101222200200032
54141241211421110
6141145053345130
712432530123022
oct1742152404016
9422380481600
10133440342030
115165665a006
1221a40a981a6
13c777883a88
14665c378382
15370edd91c0
hex1f11aa080e

133440342030 has 96 divisors (see below), whose sum is σ = 360656150400. Its totient is φ = 35498894112.

The previous prime is 133440342029. The next prime is 133440342041. The reversal of 133440342030 is 30243044331.

133440342030 is a `hidden beast` number, since 13 + 3 + 440 + 3 + 4 + 203 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133440341985 and 133440342003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952641 + ... + 1083699.

It is an arithmetic number, because the mean of its divisors is an integer number (3756834900).

Almost surely, 2133440342030 is an apocalyptic number.

133440342030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133440342030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180328075200).

133440342030 is an abundant number, since it is smaller than the sum of its proper divisors (227215808370).

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

133440342030 is a wasteful number, since it uses less digits than its factorization.

133440342030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131500 (or 131488 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 133440342030 its reverse (30243044331), we get a palindrome (163683386361).

The spelling of 133440342030 in words is "one hundred thirty-three billion, four hundred forty million, three hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 419 486 810 838 1215 1257 2095 2430 2514 3771 4190 6285 7542 11313 12570 18855 22626 33939 37710 56565 67878 101817 113130 131059 169695 203634 262118 339390 393177 509085 655295 786354 1018170 1179531 1310590 1965885 2359062 3538593 3931770 5897655 7077186 10615779 11795310 17692965 21231558 31847337 35385930 53078895 54913721 63694674 106157790 109827442 159236685 164741163 274568605 318473370 329482326 494223489 549137210 823705815 988446978 1482670467 1647411630 2471117445 2965340934 4448011401 4942234890 7413352335 8896022802 13344034203 14826704670 22240057005 26688068406 44480114010 66720171015 133440342030