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1320034034000 = 24531173821939
BaseRepresentation
bin10011001101011000001…
…010001110000101010000
311200012020102220211100102
4103031120022032011100
5133111412203042000
62450225410311532
7164240450104643
oct23153012160520
94605212824312
101320034034000
11469906887490
121939b88885a8
139762b85a226
1447c661ada5a
152450cb653d5
hex1335828e150

1320034034000 has 160 divisors (see below), whose sum is σ = 3529712833920. Its totient is φ = 473436288000.

The previous prime is 1320034033999. The next prime is 1320034034021. The reversal of 1320034034000 is 4304300231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 1195031 + ... + 2016969.

It is an arithmetic number, because the mean of its divisors is an integer number (22060705212).

Almost surely, 21320034034000 is an apocalyptic number.

1320034034000 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 1320034034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764856416960).

1320034034000 is an abundant number, since it is smaller than the sum of its proper divisors (2209678799920).

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

1320034034000 is a wasteful number, since it uses less digits than its factorization.

1320034034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822046 (or 822030 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 1320034034000 its reverse (4304300231), we get a palindrome (1324338334231).

The spelling of 1320034034000 in words is "one trillion, three hundred twenty billion, thirty-four million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 73 80 88 100 110 125 146 176 200 220 250 275 292 365 400 440 500 550 584 730 803 880 1000 1100 1168 1375 1460 1606 1825 2000 2200 2750 2920 3212 3650 4015 4400 5500 5840 6424 7300 8030 9125 11000 12848 14600 16060 18250 20075 22000 29200 32120 36500 40150 64240 73000 80300 100375 146000 160600 200750 321200 401500 803000 821939 1606000 1643878 3287756 4109695 6575512 8219390 9041329 13151024 16438780 18082658 20548475 32877560 36165316 41096950 45206645 60001547 65755120 72330632 82193900 90413290 102742375 120003094 144661264 164387800 180826580 205484750 226033225 240006188 300007735 328775600 361653160 410969500 452066450 480012376 600015470 660017017 723306320 821939000 904132900 960024752 1130166125 1200030940 1320034034 1500038675 1643878000 1808265800 2260332250 2400061880 2640068068 3000077350 3300085085 3616531600 4520664500 4800123760 5280136136 6000154700 6600170170 7500193375 9041329000 10560272272 12000309400 13200340340 15000386750 16500425425 18082658000 24000618800 26400680680 30000773500 33000850850 52801361360 60001547000 66001701700 82502127125 120003094000 132003403400 165004254250 264006806800 330008508500 660017017000 1320034034000