Search a number
-
+
4541334405040 = 245359199779181
BaseRepresentation
bin100001000010101110010…
…0111111011111110110000
3121002010222101212202021001
41002011130213323332300
51043401123101430130
613354132113011344
7646046333350126
oct102053447737660
917063871782231
104541334405040
1114a0a72974394
12614183853b54
1326c3275bba34
14119b32049916
157d1e580e6ca
hex4215c9fbfb0

4541334405040 has 80 divisors (see below), whose sum is σ = 10593449386560. Its totient is φ = 1810543815680.

The previous prime is 4541334405001. The next prime is 4541334405071. The reversal of 4541334405040 is 405044331454.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 57314250 + ... + 57393430.

It is an arithmetic number, because the mean of its divisors is an integer number (132418117332).

Almost surely, 24541334405040 is an apocalyptic number.

4541334405040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4541334405040 is an abundant number, since it is smaller than the sum of its proper divisors (6052114981520).

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

4541334405040 is a wasteful number, since it uses less digits than its factorization.

4541334405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81550 (or 81544 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 4541334405040 its reverse (405044331454), we get a palindrome (4946378736494).

The spelling of 4541334405040 in words is "four trillion, five hundred forty-one billion, three hundred thirty-four million, four hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 359 718 1436 1795 1997 2872 3590 3994 5744 7180 7988 9985 14360 15976 19970 28720 31952 39940 79181 79880 158362 159760 316724 395905 633448 716923 791810 1266896 1433846 1583620 2867692 3167240 3584615 5735384 6334480 7169230 11470768 14338460 28425979 28676920 56851958 57353840 113703916 142129895 158124457 227407832 284259790 316248914 454815664 568519580 632497828 790622285 1137039160 1264995656 1581244570 2274078320 2529991312 3162489140 6324978280 12649956560 56766680063 113533360126 227066720252 283833400315 454133440504 567666800630 908266881008 1135333601260 2270667202520 4541334405040