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1330413500440 = 235233314256467
BaseRepresentation
bin10011010111000010110…
…100101111100000011000
311201012000210201100120101
4103113002310233200120
5133244141324003230
62455103350305144
7165055613111023
oct23270264574030
94635023640511
101330413500440
11473252812222
12195a149581b4
13985c4049a4b
144856c8b01ba
1524918eccaca
hex135c2d2f818

1330413500440 has 32 divisors (see below), whose sum is σ = 2994713668080. Its totient is φ = 531937259392.

The previous prime is 1330413500431. The next prime is 1330413500453. The reversal of 1330413500440 is 440053140331.

It is a junction number, because it is equal to n+sod(n) for n = 1330413500399 and 1330413500408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7034914 + ... + 7221553.

Almost surely, 21330413500440 is an apocalyptic number.

1330413500440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330413500440 is an abundant number, since it is smaller than the sum of its proper divisors (1664300167640).

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

1330413500440 is a wasteful number, since it uses less digits than its factorization.

1330413500440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14258811 (or 14258807 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 1330413500440 its reverse (440053140331), we get a palindrome (1770466640771).

The spelling of 1330413500440 in words is "one trillion, three hundred thirty billion, four hundred thirteen million, five hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2333 4666 9332 11665 18664 23330 46660 93320 14256467 28512934 57025868 71282335 114051736 142564670 285129340 570258680 33260337511 66520675022 133041350044 166301687555 266082700088 332603375110 665206750220 1330413500440