Search a number
-
+
1144169179720 = 235783891015477
BaseRepresentation
bin10000101001100101110…
…011000010101001001000
311001101022010011120121221
4100221211303002221020
5122221224302222340
62233342444211424
7145443402363160
oct20514563025110
94041263146557
101144169179720
1140126a745506
121658b7b39b74
1383b82835088
143d5416675a0
151eb684ca44a
hex10a65cc2a48

1144169179720 has 256 divisors, whose sum is σ = 3041420659200. Its totient is φ = 379342233600.

The previous prime is 1144169179717. The next prime is 1144169179753. The reversal of 1144169179720 is 279719614411.

It is a super-4 number, since 4×11441691797204 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208901622 + ... + 208907098.

It is an arithmetic number, because the mean of its divisors is an integer number (11880549450).

Almost surely, 21144169179720 is an apocalyptic number.

1144169179720 is a gapful number since it is divisible by the number (10) 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 1144169179720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520710329600).

1144169179720 is an abundant number, since it is smaller than the sum of its proper divisors (1897251479480).

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

1144169179720 is a wasteful number, since it uses less digits than its factorization.

1144169179720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 52.

The spelling of 1144169179720 in words is "one trillion, one hundred forty-four billion, one hundred sixty-nine million, one hundred seventy-nine thousand, seven hundred twenty".