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1004132210240 = 2653137913157
BaseRepresentation
bin11101001110010101111…
…00011001011001000000
310112222211200220110021202
432213022330121121000
5112422430321211430
62045143022040332
7132355221650135
oct16471274313100
93488750813252
101004132210240
11357939500685
12142735a190a8
13738c63caa63
143685917458c
151b1be404d45
hexe9caf19640

1004132210240 has 28 divisors (see below), whose sum is σ = 2391089826396. Its totient is φ = 401652883968.

The previous prime is 1004132210233. The next prime is 1004132210267. The reversal of 1004132210240 is 420122314001.

It can be written as a sum of positive squares in 2 ways, for example, as 489193931776 + 514938278464 = 699424^2 + 717592^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 3 ways as a sum of consecutive naturals, for example, 1568956259 + ... + 1568956898.

Almost surely, 21004132210240 is an apocalyptic number.

1004132210240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004132210240 is an abundant number, since it is smaller than the sum of its proper divisors (1386957616156).

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

1004132210240 is an equidigital number, since it uses as much as digits as its factorization.

1004132210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137913174 (or 3137913164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1004132210240 its reverse (420122314001), we get a palindrome (1424254524241).

The spelling of 1004132210240 in words is "one trillion, four billion, one hundred thirty-two million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3137913157 6275826314 12551652628 15689565785 25103305256 31379131570 50206610512 62758263140 100413221024 125516526280 200826442048 251033052560 502066105120 1004132210240