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45144101045312 = 264722114937773
BaseRepresentation
bin10100100001110111011100…
…00110110100010001000000
312220211201211000120201000222
422100323232012310101000
521404120104331422222
6240002525210202212
712336360623346413
oct1220735606642100
9186751730521028
1045144101045312
1113425562154815
125091290123368
131c260bba60939
14b20db3dc7b7a
1553447d1e4542
hex290eee1b4440

45144101045312 has 28 divisors (see below), whose sum is σ = 89584728606156. Its totient is φ = 22571571002880.

The previous prime is 45144101045279. The next prime is 45144101045399. The reversal of 45144101045312 is 21354010144154.

It can be written as a sum of positive squares in 2 ways, for example, as 23230317806656 + 21913783238656 = 4819784^2 + 4681216^2 .

It is a super-2 number, since 2×451441010453122 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4446743 + ... + 10491030.

It is an arithmetic number, because the mean of its divisors is an integer number (3199454593077).

Almost surely, 245144101045312 is an apocalyptic number.

It is an amenable number.

45144101045312 is a deficient number, since it is larger than the sum of its proper divisors (44440627560844).

45144101045312 is a wasteful number, since it uses less digits than its factorization.

45144101045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14985006 (or 14984996 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 45144101045312 its reverse (21354010144154), we get a palindrome (66498111189466).

The spelling of 45144101045312 in words is "forty-five trillion, one hundred forty-four billion, one hundred one million, forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 47221 94442 188884 377768 755536 1511072 3022144 14937773 29875546 59751092 119502184 239004368 478008736 956017472 705376578833 1410753157666 2821506315332 5643012630664 11286025261328 22572050522656 45144101045312