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1410643137540 = 223572131931223281
BaseRepresentation
bin10100100001110000111…
…000100001010000000100
311222212010010221012110010
4110201300320201100010
5141102444120400130
63000012430030220
7203626023554400
oct24416070412004
94885103835403
101410643137540
114a428330402a
121a9485648370
13a303b9148b0
144c3bdd44100
1526a6270c0b0
hex14870e21404

1410643137540 has 1152 divisors, whose sum is σ = 5419875041280. Its totient is φ = 270679449600.

The previous prime is 1410643137517. The next prime is 1410643137583. The reversal of 1410643137540 is 457313460141.

It is a super-2 number, since 2×14106431375402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5020082200 + ... + 5020082480.

It is an arithmetic number, because the mean of its divisors is an integer number (4704752640).

Almost surely, 21410643137540 is an apocalyptic number.

1410643137540 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 1410643137540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709937520640).

1410643137540 is an abundant number, since it is smaller than the sum of its proper divisors (4009231903740).

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

1410643137540 is a wasteful number, since it uses less digits than its factorization.

1410643137540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 1410643137540 its reverse (457313460141), we get a palindrome (1867956597681).

The spelling of 1410643137540 in words is "one trillion, four hundred ten billion, six hundred forty-three million, one hundred thirty-seven thousand, five hundred forty".