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4505311231344 = 2432711637963697
BaseRepresentation
bin100000110001111100101…
…1110011011110101110000
3120221200222212220220212200
41001203321132123311300
51042303334133400334
613325413355223200
7643332545415120
oct101437136336560
916850885826780
104505311231344
111487767811860
126091ab747b00
13268b06406041
141180b5abcc80
157c2d8021799
hex418f979bd70

4505311231344 has 240 divisors, whose sum is σ = 15722541669120. Its totient is φ = 1170008893440.

The previous prime is 4505311231339. The next prime is 4505311231381. The reversal of 4505311231344 is 4431321135054.

4505311231344 is a `hidden beast` number, since 4 + 50 + 5 + 31 + 1 + 231 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4505311231299 and 4505311231308.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 70698504 + ... + 70762200.

It is an arithmetic number, because the mean of its divisors is an integer number (65510590288).

Almost surely, 24505311231344 is an apocalyptic number.

4505311231344 is a gapful number since it is divisible by the number (44) 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 4505311231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861270834560).

4505311231344 is an abundant number, since it is smaller than the sum of its proper divisors (11217230437776).

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

4505311231344 is a wasteful number, since it uses less digits than its factorization.

4505311231344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70108 (or 70099 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 4505311231344 its reverse (4431321135054), we get a palindrome (8936632366398).

The spelling of 4505311231344 in words is "four trillion, five hundred five billion, three hundred eleven million, two hundred thirty-one thousand, three hundred forty-four".