Search a number
-
+
24042143400 = 23352112331159
BaseRepresentation
bin10110011001000001…
…011111111010101000
32022001112112102120120
4112121001133322220
5343214242042100
615013402323240
71510533563352
oct263101377250
968045472516
1024042143400
11a218188200
1247ab7b9520
132361c63672
14124108a0d2
1595aa680a0
hex59905fea8

24042143400 has 144 divisors (see below), whose sum is σ = 81922360800. Its totient is φ = 5828380800.

The previous prime is 24042143399. The next prime is 24042143413. The reversal of 24042143400 is 434124042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92980 + ... + 238179.

Almost surely, 224042143400 is an apocalyptic number.

24042143400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24042143400 is an abundant number, since it is smaller than the sum of its proper divisors (57880217400).

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

24042143400 is a wasteful number, since it uses less digits than its factorization.

24042143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331200 (or 331180 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 24042143400 its reverse (434124042), we get a palindrome (24476267442).

The spelling of 24042143400 in words is "twenty-four billion, forty-two million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 9075 12100 14520 18150 24200 36300 72600 331159 662318 993477 1324636 1655795 1986954 2649272 3311590 3642749 3973908 4967385 6623180 7285498 7947816 8278975 9934770 10928247 13246360 14570996 16557950 18213745 19869540 21856494 24836925 29141992 33115900 36427490 39739080 40070239 43712988 49673850 54641235 66231800 72854980 80140478 87425976 91068725 99347700 109282470 120210717 145709960 160280956 182137450 198695400 200351195 218564940 240421434 273206175 320561912 364274900 400702390 437129880 480842868 546412350 601053585 728549800 801404780 961685736 1001755975 1092824700 1202107170 1602809560 2003511950 2185649400 2404214340 3005267925 4007023900 4808428680 6010535850 8014047800 12021071700 24042143400