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1410114623040 = 26335188986399
BaseRepresentation
bin10100100001010001011…
…000011001011001000000
311222210202022102212212000
4110201101120121121000
5141100403320414130
62555444150104000
7203606645346654
oct24412130313100
94883668385760
101410114623040
114a4031a41292
121a935864b000
13a2c86287a16
144c36da88a64
1526a31110260
hex14851619640

1410114623040 has 224 divisors, whose sum is σ = 4977262080000. Its totient is φ = 375827152896.

The previous prime is 1410114623023. The next prime is 1410114623041. The reversal of 1410114623040 is 403264110141.

1410114623040 is a `hidden beast` number, since 1 + 410 + 1 + 14 + 6 + 230 + 4 + 0 = 666.

It is a super-2 number, since 2×14101146230402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1410114622995 and 1410114623013.

It is not an unprimeable number, because it can be changed into a prime (1410114623041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16277761 + ... + 16364159.

It is an arithmetic number, because the mean of its divisors is an integer number (22219920000).

Almost surely, 21410114623040 is an apocalyptic number.

1410114623040 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 1410114623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488631040000).

1410114623040 is an abundant number, since it is smaller than the sum of its proper divisors (3567147456960).

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

1410114623040 is a wasteful number, since it uses less digits than its factorization.

1410114623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88314 (or 88298 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1410114623040 its reverse (403264110141), we get a palindrome (1813378733181).

The spelling of 1410114623040 in words is "one trillion, four hundred ten billion, one hundred fourteen million, six hundred twenty-three thousand, forty".