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144085447884078 = 232731373532267407
BaseRepresentation
bin100000110000101110000001…
…111100000011110100101110
3200220011102201121012111112200
4200300232001330003310232
5122341143444124242303
61230235535125442330
742230554501235601
oct4060560174036456
9626142647174480
10144085447884078
1141a01328037928
12141b0884b703a6
13625227920838c
142781ab6b34338
15119ced6d8d3a3
hex830b81f03d2e

144085447884078 has 96 divisors (see below), whose sum is σ = 319674761467776. Its totient is φ = 46891552333824.

The previous prime is 144085447884047. The next prime is 144085447884113. The reversal of 144085447884078 is 870488744580441.

144085447884078 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 8 + 5 + 4 + 478 + 84 + 0 + 78 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144085447883997 and 144085447884015.

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, 62412651 + ... + 64680057.

It is an arithmetic number, because the mean of its divisors is an integer number (3329945431956).

Almost surely, 2144085447884078 is an apocalyptic number.

144085447884078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

144085447884078 is an abundant number, since it is smaller than the sum of its proper divisors (175589313583698).

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

144085447884078 is a wasteful number, since it uses less digits than its factorization.

144085447884078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267978 (or 2267975 counting only the distinct ones).

The product of its (nonzero) digits is 1027604480, while the sum is 72.

The spelling of 144085447884078 in words is "one hundred forty-four trillion, eighty-five billion, four hundred forty-seven million, eight hundred eighty-four thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 73 137 146 219 274 353 411 438 657 706 822 1059 1233 1314 2118 2466 3177 6354 10001 20002 25769 30003 48361 51538 60006 77307 90009 96722 145083 154614 180018 231921 290166 435249 463842 870498 2267407 3530353 4534814 6802221 7060706 10591059 13604442 20406663 21182118 31773177 40813326 63546354 165520711 310634759 331041422 496562133 621269518 800394671 931904277 993124266 1489686399 1600789342 1863808554 2401184013 2795712831 2979372798 4802368026 5591425662 7203552039 14407104078 22676337407 45352674814 58428810983 68029012221 109654069927 116857621966 136058024442 175286432949 204087036663 219308139854 328962209781 350572865898 408174073326 525859298847 657924419562 986886629343 1051718597694 1973773258686 8004747104671 16009494209342 24014241314013 48028482628026 72042723942039 144085447884078