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1306066434540 = 2235719163667473
BaseRepresentation
bin10011000000010111101…
…000000011100111101100
311121212012000102020221220
4103000113220003213230
5132344311001401130
62435555412223340
7163234354343430
oct23002750034754
94555160366856
101306066434540
114639994a925a
1219115b00ab50
1396213b83b8a
14472dd12c9c0
1523e917d2410
hex13017a039ec

1306066434540 has 96 divisors (see below), whose sum is σ = 4399381701120. Its totient is φ = 282817391616.

The previous prime is 1306066434509. The next prime is 1306066434553. The reversal of 1306066434540 is 454346606031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1306066434492 and 1306066434501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81825757 + ... + 81841716.

It is an arithmetic number, because the mean of its divisors is an integer number (45826892720).

Almost surely, 21306066434540 is an apocalyptic number.

1306066434540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306066434540 is an abundant number, since it is smaller than the sum of its proper divisors (3093315266580).

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

1306066434540 is a wasteful number, since it uses less digits than its factorization.

1306066434540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163667511 (or 163667509 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 1306066434540 in words is "one trillion, three hundred six billion, sixty-six million, four hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 163667473 327334946 491002419 654669892 818337365 982004838 1145672311 1636674730 1964009676 2291344622 2455012095 3109681987 3273349460 3437016933 4582689244 4910024190 5728361555 6219363974 6874033866 9329045961 9820048380 11456723110 12438727948 13748067732 15548409935 17185084665 18658091922 21767773909 22913446220 31096819870 34370169330 37316183844 43535547818 46645229805 62193639740 65303321727 68740338660 87071095636 93290459610 108838869545 130606643454 186580919220 217677739090 261213286908 326516608635 435355478180 653033217270 1306066434540