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10445341253440 = 26532641691417
BaseRepresentation
bin1001011111111111111011…
…0110101101111101000000
31100222120020210100221121011
42113333332312231331000
52332114024330102230
634114305025410304
72125436202501502
oct227777666557500
940876223327534
1010445341253440
1133679319121a5
121208463799994
135a9cb72ba9c2
142817b2dd1d72
15131a921d6e2a
hex97ffedadf40

10445341253440 has 28 divisors (see below), whose sum is σ = 24872968860516. Its totient is φ = 4178136501248.

The previous prime is 10445341253419. The next prime is 10445341253449. The reversal of 10445341253440 is 4435214354401.

It can be written as a sum of positive squares in 2 ways, for example, as 3498785214016 + 6946556039424 = 1870504^2 + 2635632^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10445341253393 and 10445341253402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10445341253449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16320845389 + ... + 16320846028.

It is an arithmetic number, because the mean of its divisors is an integer number (888320316447).

Almost surely, 210445341253440 is an apocalyptic number.

10445341253440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10445341253440 is an abundant number, since it is smaller than the sum of its proper divisors (14427627607076).

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

10445341253440 is an equidigital number, since it uses as much as digits as its factorization.

10445341253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32641691434 (or 32641691424 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 10445341253440 in words is "ten trillion, four hundred forty-five billion, three hundred forty-one million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 32641691417 65283382834 130566765668 163208457085 261133531336 326416914170 522267062672 652833828340 1044534125344 1305667656680 2089068250688 2611335313360 5222670626720 10445341253440