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5414241131040 = 253572674218161
BaseRepresentation
bin100111011001001100111…
…1010110101101000100000
3201011121002202212220120210
41032302121322311220200
51202201331212143130
615303133521334120
71066110641164500
oct116623172655040
921147082786523
105414241131040
1117a8191a73445
12735396497340
13303739c6a061
1414a09d06da00
1595c844ce5b0
hex4ec99eb5a20

5414241131040 has 576 divisors, whose sum is σ = 20185736554368. Its totient is φ = 1216025395200.

The previous prime is 5414241131027. The next prime is 5414241131059. The reversal of 5414241131040 is 401311424145.

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 = 5414241130989 and 5414241131007.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 663424560 + ... + 663432720.

It is an arithmetic number, because the mean of its divisors is an integer number (35044681518).

Almost surely, 25414241131040 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 5414241131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10092868277184).

5414241131040 is an abundant number, since it is smaller than the sum of its proper divisors (14771495423328).

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

5414241131040 is a wasteful number, since it uses less digits than its factorization.

5414241131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8681 (or 8666 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 5414241131040 its reverse (401311424145), we get a palindrome (5815552555185).

The spelling of 5414241131040 in words is "five trillion, four hundred fourteen billion, two hundred forty-one million, one hundred thirty-one thousand, forty".