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1014204433440 = 2535111779714177
BaseRepresentation
bin11101100001000110100…
…10111000010000100000
310120221211122120102000110
432300203102320100200
5113104042313332230
62053530304451320
7133162634305302
oct16604322702040
93527748512013
101014204433440
11361137a64a90
12144687019b40
1374840054943
1437132b37972
151b5ad7cc4b0
hexec234b8420

1014204433440 has 384 divisors, whose sum is σ = 3695076258048. Its totient is φ = 231098286080.

The previous prime is 1014204433399. The next prime is 1014204433481. The reversal of 1014204433440 is 443344024101.

It is an interprime number because it is at equal distance from previous prime (1014204433399) and next prime (1014204433481).

It is a super-2 number, since 2×10142044334402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1014204433398 and 1014204433407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71531632 + ... + 71545808.

It is an arithmetic number, because the mean of its divisors is an integer number (9622594422).

Almost surely, 21014204433440 is an apocalyptic number.

1014204433440 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 1014204433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847538129024).

1014204433440 is an abundant number, since it is smaller than the sum of its proper divisors (2680871824608).

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

1014204433440 is a wasteful number, since it uses less digits than its factorization.

1014204433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15020 (or 15012 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1014204433440 its reverse (443344024101), we get a palindrome (1457548457541).

The spelling of 1014204433440 in words is "one trillion, fourteen billion, two hundred four million, four hundred thirty-three thousand, four hundred forty".