Search a number
-
+
1412142984 = 2336734591
BaseRepresentation
bin101010000101011…
…1001011110001000
310122102012022000000
41110022321132020
510343002033414
6352043043000
746665005640
oct12412713610
93572168000
101412142984
11665132a1a
12334b10460
13196740885
14d5793520
1583e92b09
hex542b9788

1412142984 has 112 divisors (see below), whose sum is σ = 4537086720. Its totient is φ = 403457760.

The previous prime is 1412142959. The next prime is 1412142989. The reversal of 1412142984 is 4892412141.

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

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 (1412142989) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23529 + ... + 58119.

Almost surely, 21412142984 is an apocalyptic number.

1412142984 is a gapful number since it is divisible by the number (14) 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 1412142984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268543360).

1412142984 is an abundant number, since it is smaller than the sum of its proper divisors (3124943736).

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

1412142984 is an equidigital number, since it uses as much as digits as its factorization.

1412142984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34622 (or 34603 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1412142984 is about 37578.4909755567. The cubic root of 1412142984 is about 1121.9139743590.

The spelling of 1412142984 in words is "one billion, four hundred twelve million, one hundred forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2268 2916 3402 4536 5103 5832 6804 10206 13608 20412 34591 40824 69182 103773 138364 207546 242137 276728 311319 415092 484274 622638 726411 830184 933957 968548 1245276 1452822 1867914 1937096 2179233 2490552 2801871 2905644 3735828 4358466 5603742 5811288 6537699 7471656 8405613 8716932 11207484 13075398 16811226 17433864 19613097 22414968 25216839 26150796 33622452 39226194 50433678 52301592 58839291 67244904 78452388 100867356 117678582 156904776 176517873 201734712 235357164 353035746 470714328 706071492 1412142984