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340103412410240 = 275131263102115107
BaseRepresentation
bin100110101010100100111111…
…1000101010110011110000000
31122121012120100120120100020202
41031111021333011112132000
5324034223242034111430
63203201203431224332
7131431442416525163
oct11525117705263600
91577176316510222
10340103412410240
1199405057911a46
123218a3a08180a8
13117a07ca45b76b
145ddb14324dada
15294bd0c16ed45
hex135527f156780

340103412410240 has 256 divisors, whose sum is σ = 823241320957440. Its totient is φ = 134348945203200.

The previous prime is 340103412410239. The next prime is 340103412410341. The reversal of 340103412410240 is 42014214301043.

It is a super-2 number, since 2×3401034124102402 (a number of 30 digits) contains 22 as substring.

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, 22512960767 + ... + 22512975873.

It is an arithmetic number, because the mean of its divisors is an integer number (3215786409990).

Almost surely, 2340103412410240 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 340103412410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411620660478720).

340103412410240 is an abundant number, since it is smaller than the sum of its proper divisors (483137908547200).

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

340103412410240 is a wasteful number, since it uses less digits than its factorization.

340103412410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16541 (or 16529 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 340103412410240 its reverse (42014214301043), we get a palindrome (382117626711283).

The spelling of 340103412410240 in words is "three hundred forty trillion, one hundred three billion, four hundred twelve million, four hundred ten thousand, two hundred forty".