Search a number
-
+
24242034440 = 23513371797039
BaseRepresentation
bin10110100100111100…
…000001011100001000
32022120110122221112102
4112210330001130020
5344121430100230
615045302532532
71515511615151
oct264474013410
968513587472
1024242034440
11a30aaa6308
124846737148
1323944b01a0
14125d840928
1596d3a0045
hex5a4f01708

24242034440 has 128 divisors (see below), whose sum is σ = 60673536000. Its totient is φ = 8659104768.

The previous prime is 24242034433. The next prime is 24242034451. The reversal of 24242034440 is 4443024242.

It is a super-2 number, since 2×242420344402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3440441 + ... + 3447479.

It is an arithmetic number, because the mean of its divisors is an integer number (474012000).

Almost surely, 224242034440 is an apocalyptic number.

24242034440 is a gapful number since it is divisible by the number (20) 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 24242034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30336768000).

24242034440 is an abundant number, since it is smaller than the sum of its proper divisors (36431501560).

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

24242034440 is a wasteful number, since it uses less digits than its factorization.

24242034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7279 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 24242034440 its reverse (4443024242), we get a palindrome (28685058682).

The spelling of 24242034440 in words is "twenty-four billion, two hundred forty-two million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 179 185 260 296 358 370 481 520 716 740 895 962 1432 1480 1790 1924 2327 2405 3580 3848 4654 4810 6623 7039 7160 9308 9620 11635 13246 14078 18616 19240 23270 26492 28156 33115 35195 46540 52984 56312 66230 70390 86099 91507 93080 132460 140780 172198 183014 260443 264920 281560 344396 366028 430495 457535 520886 688792 732056 860990 915070 1041772 1259981 1302215 1721980 1830140 2083544 2519962 2604430 3385759 3443960 3660280 5039924 5208860 6299905 6771518 10079848 10417720 12599810 13543036 16379753 16928795 25199620 27086072 32759506 33857590 46619297 50399240 65519012 67715180 81898765 93238594 131038024 135430360 163797530 186477188 233096485 327595060 372954376 466192970 606050861 655190120 932385940 1212101722 1864771880 2424203444 3030254305 4848406888 6060508610 12121017220 24242034440