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1401330112 = 26713298297
BaseRepresentation
bin101001110000110…
…1001100111000000
310121122211221112021
41103201221213000
510332220030422
6351015211224
746504052350
oct12341514700
93548757467
101401330112
1165a018066
12331376b14
13194426020
14d417ab60
1583058dc7
hex538699c0

1401330112 has 112 divisors (see below), whose sum is σ = 3540922560. Its totient is φ = 535191552.

The previous prime is 1401330097. The next prime is 1401330113. The reversal of 1401330112 is 2110331041.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401330113) 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 15 ways as a sum of consecutive naturals, for example, 164748 + ... + 173044.

It is an arithmetic number, because the mean of its divisors is an integer number (31615380).

Almost surely, 21401330112 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 1401330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770461280).

1401330112 is an abundant number, since it is smaller than the sum of its proper divisors (2139592448).

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

1401330112 is a wasteful number, since it uses less digits than its factorization.

1401330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8358 (or 8348 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1401330112 is about 37434.3440172257. The cubic root of 1401330112 is about 1119.0431112721.

Adding to 1401330112 its reverse (2110331041), we get a palindrome (3511661153).

The spelling of 1401330112 in words is "one billion, four hundred one million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 64 91 104 112 116 182 203 208 224 232 364 377 406 416 448 464 728 754 812 832 928 1456 1508 1624 1856 2639 2912 3016 3248 5278 5824 6032 6496 8297 10556 12064 12992 16594 21112 24128 33188 42224 58079 66376 84448 107861 116158 132752 168896 215722 232316 240613 265504 431444 464632 481226 531008 755027 862888 929264 962452 1510054 1684291 1725776 1858528 1924904 3020108 3127969 3368582 3451552 3717056 3849808 6040216 6255938 6737164 6903104 7699616 12080432 12511876 13474328 15399232 21895783 24160864 25023752 26948656 43791566 48321728 50047504 53897312 87583132 100095008 107794624 175166264 200190016 350332528 700665056 1401330112