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3340051315000 = 235410117338231
BaseRepresentation
bin110000100110101010100…
…100100111100100111000
3102211022020220210220122021
4300212222210213210320
5414210411114040000
611034222015204224
7463211404512601
oct60465244474470
912738226726567
103340051315000
11107856498a804
1245b3a8516674
131b2c72239b6a
14b7933362da8
155bd3817411a
hex309aa927938

3340051315000 has 160 divisors (see below), whose sum is σ = 7949114094240. Its totient is φ = 1315112000000.

The previous prime is 3340051314961. The next prime is 3340051315067. The reversal of 3340051315000 is 5131500433.

It is a super-2 number, since 2×33400513150002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 87345885 + ... + 87384115.

It is an arithmetic number, because the mean of its divisors is an integer number (49681963089).

Almost surely, 23340051315000 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 3340051315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974557047120).

3340051315000 is an abundant number, since it is smaller than the sum of its proper divisors (4609062779240).

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

3340051315000 is a wasteful number, since it uses less digits than its factorization.

3340051315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38531 (or 38512 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 3340051315000 its reverse (5131500433), we get a palindrome (3345182815433).

The spelling of 3340051315000 in words is "three trillion, three hundred forty billion, fifty-one million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 173 200 202 250 346 404 500 505 625 692 808 865 1000 1010 1250 1384 1730 2020 2500 2525 3460 4040 4325 5000 5050 6920 8650 10100 12625 17300 17473 20200 21625 25250 34600 34946 38231 43250 50500 63125 69892 76462 86500 87365 101000 108125 126250 139784 152924 173000 174730 191155 216250 252500 305848 349460 382310 432500 436825 505000 698920 764620 865000 873650 955775 1529240 1747300 1911550 2184125 3494600 3823100 3861331 4368250 4778875 6613963 7646200 7722662 8736500 9557750 10920625 13227926 15445324 17473000 19115500 19306655 21841250 23894375 26455852 30890648 33069815 38231000 38613310 43682500 47788750 52911704 66139630 77226620 87365000 95577500 96533275 132279260 154453240 165349075 191155000 193066550 264558520 330698150 386133100 482666375 661396300 668010263 772266200 826745375 965332750 1322792600 1336020526 1653490750 1930665500 2413331875 2672041052 3306981500 3340051315 3861331000 4133726875 4826663750 5344082104 6613963000 6680102630 8267453750 9653327500 13360205260 16534907500 16700256575 19306655000 26720410520 33069815000 33400513150 66801026300 83501282875 133602052600 167002565750 334005131500 417506414375 668010263000 835012828750 1670025657500 3340051315000