Search a number
-
+
1004130410000 = 2454432335187
BaseRepresentation
bin11101001110010101101…
…01100001111000010000
310112222211120111222211012
432213022311201320100
5112422424341110000
62045142515310052
7132355200441464
oct16471265417020
93488746458735
101004130410000
11357938491083
121427352ab328
13738c5c1a523
1436858c264a4
151b1be19b735
hexe9cad61e10

1004130410000 has 100 divisors (see below), whose sum is σ = 2487638413392. Its totient is φ = 392311248000.

The previous prime is 1004130409981. The next prime is 1004130410011. The reversal of 1004130410000 is 140314001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 737594 + ... + 1597593.

Almost surely, 21004130410000 is an apocalyptic number.

1004130410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004130410000 is an abundant number, since it is smaller than the sum of its proper divisors (1483508003392).

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

1004130410000 is an equidigital number, since it uses as much as digits as its factorization.

1004130410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335258 (or 2335237 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1004130410000 its reverse (140314001), we get a palindrome (1004270724001).

The spelling of 1004130410000 in words is "one trillion, four billion, one hundred thirty million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 625 688 860 1000 1075 1250 1720 2000 2150 2500 3440 4300 5000 5375 8600 10000 10750 17200 21500 26875 43000 53750 86000 107500 215000 430000 2335187 4670374 9340748 11675935 18681496 23351870 37362992 46703740 58379675 93407480 100413041 116759350 186814960 200826082 233518700 291898375 401652164 467037400 502065205 583796750 803304328 934074800 1004130410 1167593500 1459491875 1606608656 2008260820 2335187000 2510326025 2918983750 4016521640 4670374000 5020652050 5837967500 8033043280 10041304100 11675935000 12551630125 20082608200 23351870000 25103260250 40165216400 50206520500 62758150625 100413041000 125516301250 200826082000 251032602500 502065205000 1004130410000