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4544714809440 = 253551343673121
BaseRepresentation
bin100001000100010011000…
…0111001010000001100000
3121002110200222201002100000
41002020212013022001200
51043430033442400230
613355451350500000
7646226161331421
oct102104607120140
917073628632300
104544714809440
1114a2448036233
12614967964600
1326c745a43520
14119d72d95648
157d342495b60
hex422261ca060

4544714809440 has 1152 divisors, whose sum is σ = 17993502438912. Its totient is φ = 1076029194240.

The previous prime is 4544714809433. The next prime is 4544714809441. The reversal of 4544714809440 is 449084174454.

4544714809440 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 71 + 480 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×45447148094402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4544714809441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1456171080 + ... + 1456174200.

It is an arithmetic number, because the mean of its divisors is an integer number (15619359756).

Almost surely, 24544714809440 is an apocalyptic number.

4544714809440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4544714809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8996751219456).

4544714809440 is an abundant number, since it is smaller than the sum of its proper divisors (13448787629472).

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

4544714809440 is a wasteful number, since it uses less digits than its factorization.

4544714809440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 4544714809440 in words is "four trillion, five hundred forty-four billion, seven hundred fourteen million, eight hundred nine thousand, four hundred forty".