Search a number
-
+
1412981712 = 243319716603
BaseRepresentation
bin101010000111000…
…0110001111010000
310122110202220112000
41110032012033100
510343210403322
6352113034000
750005101132
oct12416061720
93573686460
101412981712
1166565608a
12335255900
1319697556c
14d5931052
15840ab3ac
hex543863d0

1412981712 has 80 divisors (see below), whose sum is σ = 4076614080. Its totient is φ = 468574848.

The previous prime is 1412981663. The next prime is 1412981723. The reversal of 1412981712 is 2171892141.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 76803 + ... + 93405.

It is an arithmetic number, because the mean of its divisors is an integer number (50957676).

Almost surely, 21412981712 is an apocalyptic number.

1412981712 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 1412981712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038307040).

1412981712 is an abundant number, since it is smaller than the sum of its proper divisors (2663632368).

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

1412981712 is a wasteful number, since it uses less digits than its factorization.

1412981712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16817 (or 16805 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 1412981712 is about 37589.6490007555. The cubic root of 1412981712 is about 1122.1360468735.

The spelling of 1412981712 in words is "one billion, four hundred twelve million, nine hundred eighty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 197 216 394 432 591 788 1182 1576 1773 2364 3152 3546 4728 5319 7092 9456 10638 14184 16603 21276 28368 33206 42552 49809 66412 85104 99618 132824 149427 199236 265648 298854 398472 448281 597708 796944 896562 1195416 1793124 2390832 3270791 3586248 6541582 7172496 9812373 13083164 19624746 26166328 29437119 39249492 52332656 58874238 78498984 88311357 117748476 156997968 176622714 235496952 353245428 470993904 706490856 1412981712