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3340540111440 = 243574770959671
BaseRepresentation
bin110000100111000111101…
…101001110101001010000
3102211100111222120100022010
4300213013231032221100
5414212411232031230
611034342315542520
7463226461305240
oct60470755165120
912740458510263
103340540111440
111078795894804
1245b50415aa40
131b301c59b61c
14b797c23db20
155bd660279b0
hex309c7b4ea50

3340540111440 has 320 divisors, whose sum is σ = 12104116715520. Its totient is φ = 746239703040.

The previous prime is 3340540111427. The next prime is 3340540111477. The reversal of 3340540111440 is 441110450433.

It is a super-3 number, since 3×33405401114403 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3340540111398 and 3340540111407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55952805 + ... + 56012475.

It is an arithmetic number, because the mean of its divisors is an integer number (37825364736).

Almost surely, 23340540111440 is an apocalyptic number.

3340540111440 is a gapful number since it is divisible by the number (30) 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 3340540111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052058357760).

3340540111440 is an abundant number, since it is smaller than the sum of its proper divisors (8763576604080).

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

3340540111440 is a wasteful number, since it uses less digits than its factorization.

3340540111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60450 (or 60444 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 3340540111440 its reverse (441110450433), we get a palindrome (3781650561873).

The spelling of 3340540111440 in words is "three trillion, three hundred forty billion, five hundred forty million, one hundred eleven thousand, four hundred forty".