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133112344002414 = 23722369188323293
BaseRepresentation
bin11110010001000010100001…
…111110101011111101101110
3122110022102020010100012102020
4132101002201332223331232
5114421403040031034124
61151034544443211010
740016022655215360
oct3621024176537556
9573272203305366
10133112344002414
113946069aa59797
1212b1a092816a66
1359375950c265a
1424c29596bcd30
15105c856a99379
hex7910a1fabf6e

133112344002414 has 128 divisors (see below), whose sum is σ = 306423227056128. Its totient is φ = 37762320839040.

The previous prime is 133112344002377. The next prime is 133112344002439. The reversal of 133112344002414 is 414200443211331.

It is a happy number.

It is a super-2 number, since 2×1331123440024142 (a number of 29 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 63 ways as a sum of consecutive naturals, for example, 5714681352 + ... + 5714704644.

It is an arithmetic number, because the mean of its divisors is an integer number (2393931461376).

Almost surely, 2133112344002414 is an apocalyptic number.

133112344002414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

133112344002414 is an abundant number, since it is smaller than the sum of its proper divisors (173310883053714).

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

133112344002414 is a wasteful number, since it uses less digits than its factorization.

133112344002414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25102.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 133112344002414 its reverse (414200443211331), we get a palindrome (547312787213745).

The spelling of 133112344002414 in words is "one hundred thirty-three trillion, one hundred twelve billion, three hundred forty-four million, two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 223 446 669 691 883 1338 1382 1561 1766 2073 2649 3122 4146 4683 4837 5298 6181 9366 9674 12362 14511 18543 23293 29022 37086 46586 69879 139758 154093 163051 196909 308186 326102 393818 462279 489153 590727 610153 924558 978306 1078651 1181454 1220306 1378363 1830459 2157302 2756726 3235953 3660918 4135089 4271071 5194339 6471906 8270178 8542142 10388678 12813213 15583017 16095463 20567719 25626426 31166034 32190926 36360373 41135438 48286389 61703157 72720746 96572778 109081119 112668241 123406314 136064119 143974033 218162238 225336482 272128238 287948066 338004723 408192357 431922099 676009446 816384714 863844198 952448833 1904897666 2857346499 3589288249 4586601337 5714692998 7178576498 9173202674 10767864747 13759804011 14212293829 21535729494 25125017743 27519608022 28424587658 32106209359 42636881487 50250035486 64212418718 75375053229 85273762974 96318628077 99486056803 150750106458 192637256154 198972113606 298458170409 596916340818 3169341523867 6338683047734 9508024571601 19016049143202 22185390667069 44370781334138 66556172001207 133112344002414