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1413106912 = 257171919531
BaseRepresentation
bin101010000111010…
…0100110011100000
310122111000021021001
41110032210303200
510343223410122
6352115441344
750006132140
oct12416446340
93574007231
101413106912
11665731158
123352b6254
131969ba549
14d5964920
15840d3527
hex543a4ce0

1413106912 has 96 divisors (see below), whose sum is σ = 3543886080. Its totient is φ = 539965440.

The previous prime is 1413106901. The next prime is 1413106921. The reversal of 1413106912 is 2196013141.

It is a super-2 number, since 2×14131069122 = 3993742289484351488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 15 ways as a sum of consecutive naturals, for example, 62587 + ... + 82117.

It is an arithmetic number, because the mean of its divisors is an integer number (36915480).

Almost surely, 21413106912 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 1413106912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771943040).

1413106912 is an abundant number, since it is smaller than the sum of its proper divisors (2130779168).

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

1413106912 is a wasteful number, since it uses less digits than its factorization.

1413106912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19584 (or 19576 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1413106912 is about 37591.3143159427. The cubic root of 1413106912 is about 1122.1691889122.

The spelling of 1413106912 in words is "one billion, four hundred thirteen million, one hundred six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 68 76 112 119 133 136 152 224 238 266 272 304 323 476 532 544 608 646 952 1064 1292 1904 2128 2261 2584 3808 4256 4522 5168 9044 10336 18088 19531 36176 39062 72352 78124 136717 156248 273434 312496 332027 371089 546868 624992 664054 742178 1093736 1328108 1484356 2187472 2324189 2597623 2656216 2968712 4374944 4648378 5195246 5312432 5937424 6308513 9296756 10390492 10624864 11874848 12617026 18593512 20780984 25234052 37187024 41561968 44159591 50468104 74374048 83123936 88319182 100936208 176638364 201872416 353276728 706553456 1413106912