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13400330012000 = 255323145655761
BaseRepresentation
bin1100001100000000000111…
…1010010000010101100000
31202110001121001001020121222
43003000001322100111200
53224022333440341000
644300005430034212
72552066445510461
oct303000172202540
952401531036558
1013400330012000
1142a7058a44a88
1216050a74a8968
137628517a1b19
14344817d70d68
1518389001ba85
hexc3001e90560

13400330012000 has 96 divisors (see below), whose sum is σ = 34356115894464. Its totient is φ = 5127082752000.

The previous prime is 13400330011973. The next prime is 13400330012021. The reversal of 13400330012000 is 21003300431.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13400330012000.

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, 72735881 + ... + 72919880.

It is an arithmetic number, because the mean of its divisors is an integer number (357876207234).

Almost surely, 213400330012000 is an apocalyptic number.

13400330012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13400330012000 is an abundant number, since it is smaller than the sum of its proper divisors (20955785882464).

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

13400330012000 is a wasteful number, since it uses less digits than its factorization.

13400330012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145655809 (or 145655791 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13400330012000 its reverse (21003300431), we get a palindrome (13421333312431).

The spelling of 13400330012000 in words is "thirteen trillion, four hundred billion, three hundred thirty million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 46000 92000 145655761 291311522 582623044 728278805 1165246088 1456557610 2330492176 2913115220 3350082503 3641394025 4660984352 5826230440 6700165006 7282788050 11652460880 13400330012 14565576100 16750412515 18206970125 23304921760 26800660024 29131152200 33500825030 36413940250 53601320048 58262304400 67001650060 72827880500 83752062575 107202640096 116524608800 134003300120 145655761000 167504125150 268006600240 291311522000 335008250300 418760312875 536013200480 582623044000 670016500600 837520625750 1340033001200 1675041251500 2680066002400 3350082503000 6700165006000 13400330012000