Search a number
-
+
1344039146450 = 2527111326853929
BaseRepresentation
bin10011100011101110111…
…110011101001111010010
311202111012101202220000022
4103203232332131033102
5134010043010141300
62505235411223442
7166050354150350
oct23435676351722
94674171686008
101344039146450
114790050717a0
12198597ba7b82
1399985c26590
14490a237a7d0
1524e65316285
hex138eef9d3d2

1344039146450 has 96 divisors (see below), whose sum is σ = 3356526418560. Its totient is φ = 386696563200.

The previous prime is 1344039146449. The next prime is 1344039146459. The reversal of 1344039146450 is 546419304431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1344039146459) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13376915 + ... + 13477014.

It is an arithmetic number, because the mean of its divisors is an integer number (34963816860).

Almost surely, 21344039146450 is an apocalyptic number.

1344039146450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1344039146450 is an abundant number, since it is smaller than the sum of its proper divisors (2012487272110).

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

1344039146450 is a wasteful number, since it uses less digits than its factorization.

1344039146450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26853972 (or 26853967 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 1344039146450 in words is "one trillion, three hundred forty-four billion, thirty-nine million, one hundred forty-six thousand, four hundred fifty".

Divisors: 1 2 5 7 10 11 13 14 22 25 26 35 50 55 65 70 77 91 110 130 143 154 175 182 275 286 325 350 385 455 550 650 715 770 910 1001 1430 1925 2002 2275 3575 3850 4550 5005 7150 10010 25025 50050 26853929 53707858 134269645 187977503 268539290 295393219 349101077 375955006 590786438 671348225 698202154 939887515 1342696450 1476966095 1745505385 1879775030 2067752533 2443707539 2953932190 3491010770 3840111847 4135505066 4699437575 4887415078 7384830475 7680223694 8727526925 9398875150 10338762665 12218537695 14769660950 17455053850 19200559235 20677525330 24437075390 26880782929 38401118470 51693813325 53761565858 61092688475 96002796175 103387626650 122185376950 134403914645 192005592350 268807829290 672019573225 1344039146450