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3340321413440 = 2651137251102181
BaseRepresentation
bin110000100110111010101…
…010111101100101000000
3102211022221202001100001012
4300212322222331211000
5414211434240212230
611034304504300052
7463221164353604
oct60467252754500
912738852040035
103340321413440
1110786933a0760
1245b462a71628
131b2cb619871b
14b795b191504
155bd51c28395
hex309baabd940

3340321413440 has 224 divisors, whose sum is σ = 8947356743808. Its totient is φ = 1177113600000.

The previous prime is 3340321413431. The next prime is 3340321413449. The reversal of 3340321413440 is 443141230433.

It is an interprime number because it is at equal distance from previous prime (3340321413431) and next prime (3340321413449).

It is a super-2 number, since 2×33403214134402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3340321413397 and 3340321413406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340321413449) 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, 32639150 + ... + 32741330.

It is an arithmetic number, because the mean of its divisors is an integer number (39943556892).

Almost surely, 23340321413440 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 3340321413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473678371904).

3340321413440 is an abundant number, since it is smaller than the sum of its proper divisors (5607035330368).

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

3340321413440 is a wasteful number, since it uses less digits than its factorization.

3340321413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102497 (or 102487 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 3340321413440 its reverse (443141230433), we get a palindrome (3783462643873).

The spelling of 3340321413440 in words is "three trillion, three hundred forty billion, three hundred twenty-one million, four hundred thirteen thousand, four hundred forty".