Search a number
-
+
10004401141500 = 2235319351031619
BaseRepresentation
bin1001000110010101010011…
…0001101011011011111100
31022102102002220202101222010
42101211110301223123330
52302403003143012000
633135543004451220
72051536246415523
oct221452461533374
938372086671863
1010004401141500
11320792a6a2847
121156b05849b10
13577545bcac6c
142683038634ba
15125386504d50
hex91954c6b6fc

10004401141500 has 96 divisors (see below), whose sum is σ = 30666122323200. Its totient is φ = 2527427649600.

The previous prime is 10004401141487. The next prime is 10004401141597. The reversal of 10004401141500 is 514110440001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175487310 + ... + 175544309.

It is an arithmetic number, because the mean of its divisors is an integer number (319438774200).

Almost surely, 210004401141500 is an apocalyptic number.

10004401141500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004401141500 is an abundant number, since it is smaller than the sum of its proper divisors (20661721181700).

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

10004401141500 is a wasteful number, since it uses less digits than its factorization.

10004401141500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351031660 (or 351031648 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 10004401141500 its reverse (514110440001), we get a palindrome (10518511581501).

The spelling of 10004401141500 in words is "ten trillion, four billion, four hundred one million, one hundred forty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 475 500 570 750 950 1140 1425 1500 1900 2375 2850 4750 5700 7125 9500 14250 28500 351031619 702063238 1053094857 1404126476 1755158095 2106189714 3510316190 4212379428 5265474285 6669600761 7020632380 8775790475 10530948570 13339201522 17551580950 20008802283 21061897140 26327371425 26678403044 33348003805 35103161900 40017604566 43878952375 52654742850 66696007610 80035209132 87757904750 100044011415 105309485700 131636857125 133392015220 166740019025 175515809500 200088022830 263273714250 333480038050 400176045660 500220057075 526547428500 666960076100 833700095125 1000440114150 1667400190250 2000880228300 2501100285375 3334800380500 5002200570750 10004401141500