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1401104034 = 233115939979
BaseRepresentation
bin101001110000011…
…0010011010100010
310121122102110102000
41103200302122202
510332140312114
6351010304430
746502121261
oct12340623242
93548373360
101401104034
11659983220
12331288116
13194377155
14d411c5d8
1583011e09
hex538326a2

1401104034 has 64 divisors (see below), whose sum is σ = 3454272000. Its totient is φ = 417370320.

The previous prime is 1401104027. The next prime is 1401104039. The reversal of 1401104034 is 4304011041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1401103998 and 1401104016.

It is not an unprimeable number, because it can be changed into a prime (1401104039) 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 31 ways as a sum of consecutive naturals, for example, 15057 + ... + 55035.

It is an arithmetic number, because the mean of its divisors is an integer number (53973000).

Almost surely, 21401104034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401104034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727136000).

1401104034 is an abundant number, since it is smaller than the sum of its proper divisors (2053167966).

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

1401104034 is a wasteful number, since it uses less digits than its factorization.

1401104034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40060 (or 40054 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1401104034 is about 37431.3242351910. The cubic root of 1401104034 is about 1118.9829292510.

Adding to 1401104034 its reverse (4304011041), we get a palindrome (5705115075).

The spelling of 1401104034 in words is "one billion, four hundred one million, one hundred four thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 297 354 531 594 649 1062 1298 1593 1947 3186 3894 5841 11682 17523 35046 39979 79958 119937 239874 359811 439769 719622 879538 1079433 1319307 2158866 2358761 2638614 3957921 4717522 7076283 7915842 11873763 14152566 21228849 23747526 25946371 42457698 51892742 63686547 77839113 127373094 155678226 233517339 467034678 700552017 1401104034