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320102544040 = 235291372014237
BaseRepresentation
bin1001010100001111001…
…10010011001010101000
31010121020111102001222021
410222013212103022220
520221032222402130
6403015244234224
732061303505426
oct4520746231250
91117214361867
10320102544040
111138335a5164
125205583b974
132425482ac96
14116c8cbc116
1584d743337a
hex4a879932a8

320102544040 has 64 divisors (see below), whose sum is σ = 750505078800. Its totient is φ = 122723371008.

The previous prime is 320102544007. The next prime is 320102544059. The reversal of 320102544040 is 40445201023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 265478440516 + 54624103524 = 515246^2 + 233718^2 .

It is a junction number, because it is equal to n+sod(n) for n = 320102543996 and 320102544014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 848199 + ... + 1166038.

Almost surely, 2320102544040 is an apocalyptic number.

It is an amenable number.

320102544040 is an abundant number, since it is smaller than the sum of its proper divisors (430402534760).

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

320102544040 is a wasteful number, since it uses less digits than its factorization.

320102544040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014414 (or 2014410 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 320102544040 its reverse (40445201023), we get a palindrome (360547745063).

The spelling of 320102544040 in words is "three hundred twenty billion, one hundred two million, five hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 137 145 232 274 290 548 580 685 1096 1160 1370 2740 3973 5480 7946 15892 19865 31784 39730 79460 158920 2014237 4028474 8056948 10071185 16113896 20142370 40284740 58412873 80569480 116825746 233651492 275950469 292064365 467302984 551900938 584128730 1103801876 1168257460 1379752345 2207603752 2336514920 2759504690 5519009380 8002563601 11038018760 16005127202 32010254404 40012818005 64020508808 80025636010 160051272020 320102544040