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1314369060760 = 235731169789231
BaseRepresentation
bin10011001000000110100…
…000000011111110011000
311122122121122021100222201
4103020012200003332120
5133013311434421020
62443451322255544
7163650201451660
oct23100640037630
94578548240881
101314369060760
1146746a084218
121928976575b4
1396c38004262
1447889a911a0
15242ca659a0a
hex13206803f98

1314369060760 has 128 divisors (see below), whose sum is σ = 3490927165440. Its totient is φ = 435842150400.

The previous prime is 1314369060673. The next prime is 1314369060761. The reversal of 1314369060760 is 670609634131.

It is a self number, because there is not a number n which added to its sum of digits gives 1314369060760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314369060761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14685345 + ... + 14774575.

It is an arithmetic number, because the mean of its divisors is an integer number (27272868480).

Almost surely, 21314369060760 is an apocalyptic number.

1314369060760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314369060760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745463582720).

1314369060760 is an abundant number, since it is smaller than the sum of its proper divisors (2176558104680).

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

1314369060760 is a wasteful number, since it uses less digits than its factorization.

1314369060760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90977 (or 90973 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 1314369060760 in words is "one trillion, three hundred fourteen billion, three hundred sixty-nine million, sixty thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1697 1736 2170 3394 4340 6788 8485 8680 11879 13576 16970 23758 33940 47516 52607 59395 67880 89231 95032 105214 118790 178462 210428 237580 263035 356924 368249 420856 446155 475160 526070 624617 713848 736498 892310 1052140 1249234 1472996 1784620 1841245 2104280 2498468 2766161 2945992 3123085 3569240 3682490 4996936 5532322 6246170 7364980 11064644 12492340 13830805 14729960 19363127 22129288 24984680 27661610 38726254 55323220 77452508 96815635 110646440 151425007 154905016 193631270 302850014 387262540 605700028 757125035 774525080 1059975049 1211400056 1514250070 2119950098 3028500140 4239900196 4694175217 5299875245 6057000280 8479800392 9388350434 10599750490 18776700868 21199500980 23470876085 32859226519 37553401736 42399001960 46941752170 65718453038 93883504340 131436906076 164296132595 187767008680 262873812152 328592265190 657184530380 1314369060760