Search a number
-
+
1330071226080 = 253522312425927
BaseRepresentation
bin10011010110101110011…
…011000100011011100000
311201011010221200000102020
4103112232123010123200
5133242441213213310
62455005402221440
7165044255611422
oct23265633043340
94634127600366
101330071226080
11473097594453
1219593a1b4880
139856b16a13c
1448539254812
15248e8e1d170
hex135ae6c46e0

1330071226080 has 96 divisors (see below), whose sum is σ = 4208512702464. Its totient is φ = 353095113216.

The previous prime is 1330071226067. The next prime is 1330071226123. The reversal of 1330071226080 is 806221700331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6105924 + ... + 6320003.

It is an arithmetic number, because the mean of its divisors is an integer number (43838673984).

Almost surely, 21330071226080 is an apocalyptic number.

1330071226080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330071226080 is an abundant number, since it is smaller than the sum of its proper divisors (2878441476384).

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

1330071226080 is a wasteful number, since it uses less digits than its factorization.

1330071226080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12426168 (or 12426160 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 1330071226080 in words is "one trillion, three hundred thirty billion, seventy-one million, two hundred twenty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 223 240 446 480 669 892 1115 1338 1784 2230 2676 3345 3568 4460 5352 6690 7136 8920 10704 13380 17840 21408 26760 35680 53520 107040 12425927 24851854 37277781 49703708 62129635 74555562 99407416 124259270 149111124 186388905 198814832 248518540 298222248 372777810 397629664 497037080 596444496 745555620 994074160 1192888992 1491111240 1988148320 2770981721 2982222480 5541963442 5964444960 8312945163 11083926884 13854908605 16625890326 22167853768 27709817210 33251780652 41564725815 44335707536 55419634420 66503561304 83129451630 88671415072 110839268840 133007122608 166258903260 221678537680 266014245216 332517806520 443357075360 665035613040 1330071226080