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3403031132000 = 25533323256021
BaseRepresentation
bin110001100001010100011…
…101100011011101100000
3110001022211002110002212002
4301201110131203131200
5421223401432211000
611123155251223132
7500601166232453
oct61412435433540
913038732402762
103403031132000
1110a22433a2445
1246b6442a7aa8
131b8b9b132a76
14ba9c988749a
155d7c22d08d5
hex31854763760

3403031132000 has 96 divisors (see below), whose sum is σ = 8363796333984. Its totient is φ = 1360797504000.

The previous prime is 3403031131921. The next prime is 3403031132003. The reversal of 3403031132000 is 2311303043.

It is a super-2 number, since 2×34030311320002 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403031132003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13163990 + ... + 13420010.

It is an arithmetic number, because the mean of its divisors is an integer number (87122878479).

Almost surely, 23403031132000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403031132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181898166992).

3403031132000 is an abundant number, since it is smaller than the sum of its proper divisors (4960765201984).

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

3403031132000 is a wasteful number, since it uses less digits than its factorization.

3403031132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259369 (or 259351 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3403031132000 its reverse (2311303043), we get a palindrome (3405342435043).

The spelling of 3403031132000 in words is "three trillion, four hundred three billion, thirty-one million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 3323 4000 6646 13292 16615 26584 33230 53168 66460 83075 106336 132920 166150 256021 265840 332300 415375 512042 531680 664600 830750 1024084 1280105 1329200 1661500 2048168 2560210 2658400 3323000 4096336 5120420 6400525 6646000 8192672 10240840 12801050 13292000 20481680 25602100 32002625 40963360 51204200 64005250 102408400 128010500 204816800 256021000 512042000 850757783 1024084000 1701515566 3403031132 4253788915 6806062264 8507577830 13612124528 17015155660 21268944575 27224249056 34030311320 42537889150 68060622640 85075778300 106344722875 136121245280 170151556600 212689445750 340303113200 425378891500 680606226400 850757783000 1701515566000 3403031132000