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1311414144 = 27317919079
BaseRepresentation
bin100111000101010…
…1001011110000000
310101101122202000020
41032022221132000
510141210223034
6334044053440
744332556565
oct11612513600
93341582006
101311414144
11613293947
12307234280
1317b903401
14c625286c
157a1e7249
hex4e2a9780

1311414144 has 64 divisors (see below), whose sum is σ = 3503088000. Its totient is φ = 434673152.

The previous prime is 1311414131. The next prime is 1311414211. The reversal of 1311414144 is 4414141131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 59197 + ... + 78275.

It is an arithmetic number, because the mean of its divisors is an integer number (54735750).

Almost surely, 21311414144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751544000).

1311414144 is an abundant number, since it is smaller than the sum of its proper divisors (2191673856).

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

1311414144 is a wasteful number, since it uses less digits than its factorization.

1311414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19275 (or 19263 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 1311414144 is about 36213.4525280316. The cubic root of 1311414144 is about 1094.5777634365.

Adding to 1311414144 its reverse (4414141131), we get a palindrome (5725555275).

The spelling of 1311414144 in words is "one billion, three hundred eleven million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 358 384 537 716 1074 1432 2148 2864 4296 5728 8592 11456 17184 19079 22912 34368 38158 57237 68736 76316 114474 152632 228948 305264 457896 610528 915792 1221056 1831584 2442112 3415141 3663168 6830282 7326336 10245423 13660564 20490846 27321128 40981692 54642256 81963384 109284512 163926768 218569024 327853536 437138048 655707072 1311414144