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5051144448000 = 21134537172389
BaseRepresentation
bin100100110000000111110…
…1010111010100000000000
3122212212212221102021120000
41021200033222322200000
51130224220434314000
614424244055320000
71030635032253030
oct111401752724000
918785787367500
105051144448000
1116781a63a3302
12696b42080000
132a8422c77c51
141366960a58c0
158b5d27cc000
hex4980faba800

5051144448000 has 3840 divisors, whose sum is σ = 24042527308800. Its totient is φ = 1027709337600.

The previous prime is 5051144447969. The next prime is 5051144448001. The reversal of 5051144448000 is 8444411505.

5051144448000 is a `hidden beast` number, since 505 + 1 + 144 + 4 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×50511444480002 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5051144448001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 56754431956 + ... + 56754432044.

It is an arithmetic number, because the mean of its divisors is an integer number (6261074820).

Almost surely, 25051144448000 is an apocalyptic number.

5051144448000 is a gapful number since it is divisible by the number (50) 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 5051144448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12021263654400).

5051144448000 is an abundant number, since it is smaller than the sum of its proper divisors (18991382860800).

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

5051144448000 is a wasteful number, since it uses less digits than its factorization.

5051144448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 5051144448000 its reverse (8444411505), we get a palindrome (5059588859505).

The spelling of 5051144448000 in words is "five trillion, fifty-one billion, one hundred forty-four million, four hundred forty-eight thousand".