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133143334236 = 2232114167712113
BaseRepresentation
bin111101111111111110…
…1100000110101011100
3110201122222200011120100
41323333331200311130
54140134143143421
6141055403421100
712422262445053
oct1737775406534
9421588604510
10133143334236
1151513a39720
1221979524790
13c72b192c13
146630b4339a
1536e3cbbc26
hex1efff60d5c

133143334236 has 144 divisors (see below), whose sum is σ = 376694424288. Its totient is φ = 39301017600.

The previous prime is 133143334217. The next prime is 133143334267. The reversal of 133143334236 is 632433341331.

133143334236 is a `hidden beast` number, since 1 + 3 + 314 + 3 + 334 + 2 + 3 + 6 = 666.

133143334236 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133143334236.

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, 10985716 + ... + 10997828.

It is an arithmetic number, because the mean of its divisors is an integer number (2615933502).

Almost surely, 2133143334236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133143334236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188347212144).

133143334236 is an abundant number, since it is smaller than the sum of its proper divisors (243551090052).

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

133143334236 is a wasteful number, since it uses less digits than its factorization.

133143334236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12852 (or 12847 counting only the distinct ones).

The product of its digits is 139968, while the sum is 36.

Adding to 133143334236 its reverse (632433341331), we get a palindrome (765576675567).

The spelling of 133143334236 in words is "one hundred thirty-three billion, one hundred forty-three million, three hundred thirty-four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 677 738 902 1353 1354 1476 1804 2031 2706 2708 4059 4062 5412 6093 7447 8118 8124 12113 12186 14894 16236 22341 24226 24372 27757 29788 36339 44682 48452 55514 67023 72678 83271 89364 109017 111028 133243 134046 145356 166542 218034 249813 266486 268092 305327 333084 399729 436068 496633 499626 532972 610654 799458 915981 993266 999252 1199187 1221308 1489899 1598916 1831962 1986532 2398374 2747943 2979798 3663924 4469697 4796748 5462963 5495886 5959596 8200501 8939394 10925926 10991772 16388889 16401002 17878788 21851852 24601503 32777778 32802004 49166667 49203006 65555556 73804509 90205511 98333334 98406012 147609018 180411022 196666668 270616533 295218036 336220541 360822044 541233066 672441082 811849599 1008661623 1082466132 1344882164 1623699198 2017323246 3025984869 3247398396 3698425951 4034646492 6051969738 7396851902 11095277853 12103939476 14793703804 22190555706 33285833559 44381111412 66571667118 133143334236