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44102202223140 = 223251923560668729
BaseRepresentation
bin10100000011100010110000…
…00110001110101000100100
312210011010111022010120201100
422001301120012032220210
521240032302232120030
6233444134430400100
712201164453444025
oct1201613006165044
9183133438116640
1044102202223140
111306370345a666
124b43376360030
131b7ba87202139
14ac67b5134c4c
155172ed41c360
hex281c5818ea24

44102202223140 has 144 divisors (see below), whose sum is σ = 146940060758400. Its totient is φ = 10657191181824.

The previous prime is 44102202223091. The next prime is 44102202223141. The reversal of 44102202223140 is 4132220220144.

It is a happy number.

44102202223140 is a `hidden beast` number, since 4 + 4 + 102 + 20 + 222 + 314 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (44102202223141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280255705 + ... + 280413024.

It is an arithmetic number, because the mean of its divisors is an integer number (1020417088600).

Almost surely, 244102202223140 is an apocalyptic number.

It is an amenable number.

44102202223140 is an abundant number, since it is smaller than the sum of its proper divisors (102837858535260).

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

44102202223140 is a wasteful number, since it uses less digits than its factorization.

44102202223140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560668786 (or 560668781 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44102202223140 its reverse (4132220220144), we get a palindrome (48234422443284).

The spelling of 44102202223140 in words is "forty-four trillion, one hundred two billion, two hundred two million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 76 90 92 95 114 115 138 171 180 190 207 228 230 276 285 342 345 380 414 437 460 570 684 690 828 855 874 1035 1140 1311 1380 1710 1748 2070 2185 2622 3420 3933 4140 4370 5244 6555 7866 8740 13110 15732 19665 26220 39330 78660 560668729 1121337458 1682006187 2242674916 2803343645 3364012374 5046018561 5606687290 6728024748 8410030935 10092037122 10652705851 11213374580 12895380767 16820061870 20184074244 21305411702 25230092805 25790761534 31958117553 33640123740 38686142301 42610823404 50460185610 51581523068 53263529255 63916235106 64476903835 77372284602 95874352659 100920371220 106527058510 116058426903 127832470212 128953807670 154744569204 159790587765 191748705318 193430711505 213054117020 232116853806 245012234573 257907615340 319581175530 383497410636 386861423010 464233707612 479371763295 490024469146 580292134515 639162351060 735036703719 773722846020 958743526590 980048938292 1160584269030 1225061172865 1470073407438 1917487053180 2205110111157 2321168538060 2450122345730 2940146814876 3675183518595 4410220222314 4900244691460 7350367037190 8820440444628 11025550555785 14700734074380 22051101111570 44102202223140