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1414337133222 = 234133073536197
BaseRepresentation
bin10100100101001101000…
…011111111101010100110
312000012122120211121220000
4110211031003333222212
5141133030301230342
63001423145122130
7204116410163166
oct24451503775246
95005576747800
101414337133222
114a58a9492722
121aa136789346
13a34aa015560
144c6507a05a6
1526bcbb8944c
hex1494d0ffaa6

1414337133222 has 160 divisors (see below), whose sum is σ = 3434315667552. Its totient is φ = 432464541696.

The previous prime is 1414337133197. The next prime is 1414337133227. The reversal of 1414337133222 is 2223317334141.

1414337133222 is a `hidden beast` number, since 1 + 414 + 3 + 3 + 7 + 13 + 3 + 222 = 666.

It is a super-2 number, since 2×14143371332222 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414337133227) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228226228 + ... + 228232424.

Almost surely, 21414337133222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414337133222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717157833776).

1414337133222 is an abundant number, since it is smaller than the sum of its proper divisors (2019978534330).

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

1414337133222 is a wasteful number, since it uses less digits than its factorization.

1414337133222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884 (or 6875 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The spelling of 1414337133222 in words is "one trillion, four hundred fourteen billion, three hundred thirty-seven million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 307 351 353 614 702 706 921 1053 1059 1842 2106 2118 2763 3177 3991 4589 5526 6197 6354 7982 8289 9178 9531 11973 12394 13767 16578 18591 19062 23946 24867 27534 28593 35919 37182 41301 49734 55773 57186 71838 80561 82602 107757 108371 111546 123903 161122 167319 215514 216742 241683 247806 323271 325113 334638 371709 483366 501957 646542 650226 725049 743418 975339 1003914 1408823 1450098 1902479 1950678 2175147 2187541 2817646 2926017 3804958 4226469 4350294 4375082 5707437 5852034 6525441 6562623 8452938 8778051 11414874 12679407 13050882 13125246 17122311 17556102 19687869 24732227 25358814 28438033 34244622 38038221 39375738 49464454 51366933 56876066 59063607 74196681 76076442 85314099 102733866 114114663 118127214 148393362 154100799 170628198 177190821 222590043 228229326 255942297 308201598 354381642 445180086 511884594 667770129 671575087 767826891 1335540258 1343150174 1535653782 2003310387 2014725261 2303480673 4006620774 4029450522 4606961346 6044175783 8730476131 12088351566 17460952262 18132527349 26191428393 36265054698 52382856786 54397582047 78574285179 108795164094 157148570358 235722855537 471445711074 707168566611 1414337133222