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1413441312 = 253195314621
BaseRepresentation
bin101010000111111…
…0110011100100000
310122111122020222020
41110033312130200
510343320110222
6352130541440
750012024103
oct12417663440
93574566866
101413441312
1166593a418
12335437880
13196aa680a
14d5a1073a
158414c65c
hex543f6720

1413441312 has 96 divisors (see below), whose sum is σ = 3979523520. Its totient is φ = 437898240.

The previous prime is 1413441269. The next prime is 1413441317. The reversal of 1413441312 is 2131443141.

It is a tau number, because it is divible by the number of its divisors (96).

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 not an unprimeable number, because it can be changed into a prime (1413441317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89362 + ... + 103982.

It is an arithmetic number, because the mean of its divisors is an integer number (41453370).

Almost surely, 21413441312 is an apocalyptic number.

1413441312 is a gapful number since it is divisible by the number (12) 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 1413441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989761760).

1413441312 is an abundant number, since it is smaller than the sum of its proper divisors (2566082208).

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

1413441312 is a wasteful number, since it uses less digits than its factorization.

1413441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14706 (or 14698 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1413441312 is about 37595.7618888087. The cubic root of 1413441312 is about 1122.2576992666.

Adding to 1413441312 its reverse (2131443141), we get a palindrome (3544884453).

The spelling of 1413441312 in words is "one billion, four hundred thirteen million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 76 96 106 114 152 159 212 228 304 318 424 456 608 636 848 912 1007 1272 1696 1824 2014 2544 3021 4028 5088 6042 8056 12084 14621 16112 24168 29242 32224 43863 48336 58484 87726 96672 116968 175452 233936 277799 350904 467872 555598 701808 774913 833397 1111196 1403616 1549826 1666794 2222392 2324739 3099652 3333588 4444784 4649478 6199304 6667176 8889568 9298956 12398608 13334352 14723347 18597912 24797216 26668704 29446694 37195824 44170041 58893388 74391648 88340082 117786776 176680164 235573552 353360328 471147104 706720656 1413441312