Search a number
-
+
12424000400 = 2452741108223
BaseRepresentation
bin10111001001000011…
…10011001110010000
31012001211221121112222
423210201303032100
5200421021003100
65412453240212
7616610155340
oct134441631620
935054847488
1012424000400
1152a602a429
1224a8933068
13122cc5a336
1485c06cd20
154caac5485
hex2e4873390

12424000400 has 120 divisors (see below), whose sum is σ = 34945096704. Its totient is φ = 4155724800.

The previous prime is 12424000349. The next prime is 12424000423. The reversal of 12424000400 is 400042421.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60689 + ... + 168911.

Almost surely, 212424000400 is an apocalyptic number.

12424000400 is a gapful number since it is divisible by the number (10) 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 12424000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472548352).

12424000400 is an abundant number, since it is smaller than the sum of its proper divisors (22521096304).

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

12424000400 is a wasteful number, since it uses less digits than its factorization.

12424000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108289 (or 108278 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 12424000400 its reverse (400042421), we get a palindrome (12824042821).

The spelling of 12424000400 in words is "twelve billion, four hundred twenty-four million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 41 50 56 70 80 82 100 112 140 164 175 200 205 280 287 328 350 400 410 560 574 656 700 820 1025 1148 1400 1435 1640 2050 2296 2800 2870 3280 4100 4592 5740 7175 8200 11480 14350 16400 22960 28700 57400 108223 114800 216446 432892 541115 757561 865784 1082230 1515122 1731568 2164460 2705575 3030244 3787805 4328920 4437143 5411150 6060488 7575610 8657840 8874286 10822300 12120976 15151220 17748572 18939025 21644600 22185715 30302440 31060001 35497144 37878050 43289200 44371430 60604880 62120002 70994288 75756100 88742860 110928575 124240004 151512200 155300005 177485720 221857150 248480008 303024400 310600010 354971440 443714300 496960016 621200020 776500025 887428600 1242400040 1553000050 1774857200 2484800080 3106000100 6212000200 12424000400