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1414552325040 = 243253721435103
BaseRepresentation
bin10100100101011001111…
…000111000101110110000
312000020012120202111120100
4110211121320320232300
5141134000343400130
63001500353312400
7204124632242451
oct24453170705660
95006176674510
101414552325040
114a59a9a014a8
121aa196865700
13a351278b5aa
144c6711b9128
1526be09e4c60
hex14959e38bb0

1414552325040 has 180 divisors, whose sum is σ = 4882404631104. Its totient is φ = 367018725888.

The previous prime is 1414552324987. The next prime is 1414552325047. The reversal of 1414552325040 is 405232554141.

1414552325040 is a `hidden beast` number, since 1 + 4 + 1 + 45 + 523 + 2 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×14145523250402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1414552324986 and 1414552325004.

It is not an unprimeable number, because it can be changed into a prime (1414552325047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268129 + ... + 1703231.

Almost surely, 21414552325040 is an apocalyptic number.

1414552325040 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 1414552325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441202315552).

1414552325040 is an abundant number, since it is smaller than the sum of its proper divisors (3467852306064).

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

1414552325040 is a wasteful number, since it uses less digits than its factorization.

1414552325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435196 (or 1435150 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 1414552325040 its reverse (405232554141), we get a palindrome (1819784879181).

The spelling of 1414552325040 in words is "one trillion, four hundred fourteen billion, five hundred fifty-two million, three hundred twenty-five thousand, forty".