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141321278456820 = 2232571110196340437
BaseRepresentation
bin100000001000011111101100…
…100110100000001111110100
3200112101011220212202121010200
4200020133230212200033310
5122010401434241104240
61220322033221520500
741524061010620640
oct4010375446401764
9615334825677120
10141321278456820
11410360214a5a40
1213a25016273130
1360b1702016a97
1426c7db4871c20
151151156514930
hex8087ec9a03f4

141321278456820 has 144 divisors (see below), whose sum is σ = 534451380398208. Its totient is φ = 29365460455680.

The previous prime is 141321278456767. The next prime is 141321278456833. The reversal of 141321278456820 is 28654872123141.

141321278456820 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 2 + 1 + 2 + 78 + 4 + 568 + 2 + 0 = 666.

141321278456820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5098156359 + ... + 5098184078.

It is an arithmetic number, because the mean of its divisors is an integer number (3711467919432).

Almost surely, 2141321278456820 is an apocalyptic number.

141321278456820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141321278456820 is an abundant number, since it is smaller than the sum of its proper divisors (393130101941388).

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

141321278456820 is a wasteful number, since it uses less digits than its factorization.

141321278456820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10196340470 (or 10196340465 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 141321278456820 in words is "one hundred forty-one trillion, three hundred twenty-one billion, two hundred seventy-eight million, four hundred fifty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 10196340437 20392680874 30589021311 40785361748 50981702185 61178042622 71374383059 91767063933 101963404370 112159744807 122356085244 142748766118 152945106555 183534127866 203926808740 214123149177 224319489614 285497532236 305890213110 336479234421 356871915295 367068255732 428246298354 448638979228 458835319665 560798724035 611780426220 642369447531 672958468842 713743830590 785118213649 856492596708 917670639330 1009437703263 1070615745885 1121597448070 1284738895062 1345916937684 1427487661180 1570236427298 1682396172105 1835341278660 2018875406526 2141231491770 2243194896140 2355354640947 2569477790124 3140472854596 3211847237655 3364792344210 3925591068245 4037750813052 4282462983540 4710709281894 5047188516315 6423694475310 6729584688420 7066063922841 7851182136490 9421418563788 10094377032630 11776773204735 12847388950620 14132127845682 15702364272980 20188754065260 23553546409470 28264255691364 35330319614205 47107092818940 70660639228410 141321278456820