Search a number
-
+
6441403630000 = 24543717409199
BaseRepresentation
bin101110110111100000110…
…0100110100000110110000
3211210210101111100020202211
41131233001210310012300
51321013443312130000
621411050122421504
71233242662314553
oct135570144640660
924723344306684
106441403630000
112063869470889
12880479061894
133795637a0491
14183aa0b3869a
15b28506c87ba
hex5dbc19341b0

6441403630000 has 100 divisors (see below), whose sum is σ = 16016777365600. Its totient is φ = 2506924512000.

The previous prime is 6441403629967. The next prime is 6441403630031. The reversal of 6441403630000 is 363041446.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8334600 + ... + 9074599.

It is an arithmetic number, because the mean of its divisors is an integer number (160167773656).

Almost surely, 26441403630000 is an apocalyptic number.

It is an amenable number.

6441403630000 is an abundant number, since it is smaller than the sum of its proper divisors (9575373735600).

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

6441403630000 is a wasteful number, since it uses less digits than its factorization.

6441403630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17409264 (or 17409243 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 6441403630000 its reverse (363041446), we get a palindrome (6441766671446).

The spelling of 6441403630000 in words is "six trillion, four hundred forty-one billion, four hundred three million, six hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 625 740 925 1000 1250 1480 1850 2000 2500 2960 3700 4625 5000 7400 9250 10000 14800 18500 23125 37000 46250 74000 92500 185000 370000 17409199 34818398 69636796 87045995 139273592 174091990 278547184 348183980 435229975 644140363 696367960 870459950 1288280726 1392735920 1740919900 2176149875 2576561452 3220701815 3481839800 4352299750 5153122904 6441403630 6963679600 8704599500 10306245808 10880749375 12882807260 16103509075 17409199000 21761498750 25765614520 32207018150 34818398000 43522997500 51531229040 64414036300 80517545375 87045995000 128828072600 161035090750 174091990000 257656145200 322070181500 402587726875 644140363000 805175453750 1288280726000 1610350907500 3220701815000 6441403630000