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144231063633612 = 2232415031553125093
BaseRepresentation
bin100000110010110101101001…
…010100000011111011001100
3200220200100120210221000102100
4200302311221110003323030
5122401040204242233422
61230430500320355100
742244231132545534
oct4062655124037314
9626610523830370
10144231063633612
1141a5806136378a
1214214b43475a90
136262c1437a397
142788b6c10a4c4
1511a1baaae57ac
hex832d69503ecc

144231063633612 has 144 divisors (see below), whose sum is σ = 374462828445888. Its totient is φ = 46780645232640.

The previous prime is 144231063633541. The next prime is 144231063633617. The reversal of 144231063633612 is 216336360132441.

144231063633612 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 3 + 1 + 0 + 6 + 3 + 633 + 6 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (144231063633617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1152928138 + ... + 1153053230.

It is an arithmetic number, because the mean of its divisors is an integer number (2600436308652).

Almost surely, 2144231063633612 is an apocalyptic number.

144231063633612 is a gapful number since it is divisible by the number (12) 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 144231063633612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187231414222944).

144231063633612 is an abundant number, since it is smaller than the sum of its proper divisors (230231764812276).

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

144231063633612 is a wasteful number, since it uses less digits than its factorization.

144231063633612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127200 (or 127195 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 144231063633612 in words is "one hundred forty-four trillion, two hundred thirty-one billion, sixty-three million, six hundred thirty-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 503 738 1006 1476 1509 1553 2012 3018 3106 4527 4659 6036 6212 9054 9318 13977 18108 18636 20623 27954 41246 55908 61869 63673 82492 123738 125093 127346 185607 191019 247476 250186 254692 371214 375279 382038 500372 573057 742428 750558 764076 781159 1125837 1146114 1501116 1562318 2251674 2292228 2343477 3124636 4503348 4686954 5128813 7030431 9373908 10257626 14060862 15386439 20515252 28121724 30772878 32027519 46159317 61545756 62921779 64055038 92318634 96082557 125843558 128110076 184637268 188765337 192165114 194269429 251687116 288247671 377530674 384330228 388538858 566296011 576495342 582808287 755061348 777077716 1132592022 1152990684 1165616574 1748424861 2265184044 2331233148 2579792939 3496849722 5159585878 6993699444 7739378817 7965046589 10319171756 15478757634 15930093178 23218136451 23895139767 30957515268 31860186356 46436272902 47790279534 71685419301 92872545804 95580559068 97717522787 143370838602 195435045574 286741677204 293152568361 390870091148 586305136722 879457705083 1172610273444 1758915410166 3517830820332 4006418434267 8012836868534 12019255302801 16025673737068 24038510605602 36057765908403 48077021211204 72115531816806 144231063633612