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133111521144 = 233272109346147
BaseRepresentation
bin111101111111000010…
…0001001111101111000
3110201120202210220012200
41323332010021331320
54140103022134034
6141052305510200
712421425155400
oct1737604117570
9421522726180
10133111521144
11514a7a90008
122196a942360
13c7247048c4
14662a821800
1536e10d5a99
hex1efe109f78

133111521144 has 144 divisors (see below), whose sum is σ = 423217852200. Its totient is φ = 37682838144.

The previous prime is 133111521139. The next prime is 133111521163. The reversal of 133111521144 is 441125111331.

133111521144 is a `hidden beast` number, since 1 + 331 + 115 + 211 + 4 + 4 = 666.

It is a super-2 number, since 2×1331115211442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 211479 + ... + 557625.

Almost surely, 2133111521144 is an apocalyptic number.

133111521144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133111521144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211608926100).

133111521144 is an abundant number, since it is smaller than the sum of its proper divisors (290106331056).

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

133111521144 is a wasteful number, since it uses less digits than its factorization.

133111521144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346282 (or 346268 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 133111521144 its reverse (441125111331), we get a palindrome (574236632475).

The spelling of 133111521144 in words is "one hundred thirty-three billion, one hundred eleven million, five hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 109 126 147 168 196 218 252 294 327 392 436 441 504 588 654 763 872 882 981 1176 1308 1526 1764 1962 2289 2616 3052 3528 3924 4578 5341 6104 6867 7848 9156 10682 13734 16023 18312 21364 27468 32046 42728 48069 54936 64092 96138 128184 192276 346147 384552 692294 1038441 1384588 2076882 2423029 2769176 3115323 4153764 4846058 6230646 7269087 8307528 9692116 12461292 14538174 16961203 19384232 21807261 24922584 29076348 33922406 37730023 43614522 50883609 58152696 67844812 75460046 87229044 101767218 113190069 135689624 150920092 152650827 174458088 203534436 226380138 264110161 301840184 305301654 339570207 407068872 452760276 528220322 610603308 679140414 792330483 905520552 1056440644 1221206616 1358280828 1584660966 1848771127 2112881288 2376991449 2716561656 3169321932 3697542254 4753982898 5546313381 6338643864 7395084508 9507965796 11092626762 14790169016 16638940143 19015931592 22185253524 33277880286 44370507048 66555760572 133111521144