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10414422422500 = 225414927958181
BaseRepresentation
bin1001011110001100101111…
…1100101111001111100100
31100212121110000010121010111
42113203023330233033210
52331112214120010000
634052153011502404
72123263044664315
oct227431374571744
940777400117114
1010414422422500
113355805a54958
121202474bb7a04
135a70ca767c75
142800bc92860c
15130d82ab1cba
hex978cbf2f3e4

10414422422500 has 60 divisors (see below), whose sum is σ = 22927107149100. Its totient is φ = 4137810640000.

The previous prime is 10414422422491. The next prime is 10414422422507. The reversal of 10414422422500 is 522422441401.

It can be written as a sum of positive squares in 10 ways, for example, as 8567410956196 + 1847011466304 = 2927014^2 + 1359048^2 .

It is not an unprimeable number, because it can be changed into a prime (10414422422507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13606591 + ... + 14351590.

It is an arithmetic number, because the mean of its divisors is an integer number (382118452485).

Almost surely, 210414422422500 is an apocalyptic number.

10414422422500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414422422500 is an abundant number, since it is smaller than the sum of its proper divisors (12512684726600).

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

10414422422500 is a wasteful number, since it uses less digits than its factorization.

10414422422500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27958354 (or 27958337 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 10414422422500 its reverse (522422441401), we get a palindrome (10936844863901).

The spelling of 10414422422500 in words is "ten trillion, four hundred fourteen billion, four hundred twenty-two million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 149 250 298 500 596 625 745 1250 1490 2500 2980 3725 7450 14900 18625 37250 74500 93125 186250 372500 27958181 55916362 111832724 139790905 279581810 559163620 698954525 1397909050 2795818100 3494772625 4165768969 6989545250 8331537938 13979090500 16663075876 17473863125 20828844845 34947726250 41657689690 69895452500 83315379380 104144224225 208288448450 416576896900 520721121125 1041442242250 2082884484500 2603605605625 5207211211250 10414422422500