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10422433131040 = 2557219371891027
BaseRepresentation
bin1001011110101010100101…
…1011001010101000100000
31100220101010021200202101101
42113222221123022220200
52331230120340143130
634055555533044144
72123665415614600
oct227525133125040
940811107622341
1010422433131040
113359146876837
121203b2b926654
135a7aa628a2a8
1428063c7bcc00
151311a0ec51ca
hex97aa96caa20

10422433131040 has 288 divisors, whose sum is σ = 30965507858880. Its totient is φ = 3293834471424.

The previous prime is 10422433131031. The next prime is 10422433131073. The reversal of 10422433131040 is 4013133422401.

It is a happy number.

It is a super-2 number, since 2×104224331310402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4566007 + ... + 6457033.

It is an arithmetic number, because the mean of its divisors is an integer number (107519124510).

Almost surely, 210422433131040 is an apocalyptic number.

10422433131040 is a gapful number since it is divisible by the number (10) 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 10422433131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482753929440).

10422433131040 is an abundant number, since it is smaller than the sum of its proper divisors (20543074727840).

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

10422433131040 is a wasteful number, since it uses less digits than its factorization.

10422433131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891112 (or 1891097 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10422433131040 its reverse (4013133422401), we get a palindrome (14435566553441).

The spelling of 10422433131040 in words is "ten trillion, four hundred twenty-two billion, four hundred thirty-three million, one hundred thirty-one thousand, forty".