Search a number
-
+
24204041120 = 255731697121
BaseRepresentation
bin10110100010101011…
…000101101110100000
32022110211011200111102
4112202223011232200
5344032213303440
615041424333532
71514540645360
oct264253055640
968424150442
1024204041120
11a2a0606376
124835a742a8
132389669b2c
1412587909a0
15969d97b15
hex5a2ac5ba0

24204041120 has 96 divisors (see below), whose sum is σ = 67459101696. Its totient is φ = 8030822400.

The previous prime is 24204041117. The next prime is 24204041129. The reversal of 24204041120 is 2114040242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 24204041092 and 24204041101.

It is not an unprimeable number, because it can be changed into a prime (24204041129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313841 + ... + 383280.

It is an arithmetic number, because the mean of its divisors is an integer number (702698976).

Almost surely, 224204041120 is an apocalyptic number.

24204041120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24204041120 is an abundant number, since it is smaller than the sum of its proper divisors (43255060576).

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

24204041120 is a wasteful number, since it uses less digits than its factorization.

24204041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697174 (or 697166 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 24204041120 its reverse (2114040242), we get a palindrome (26318081362).

The spelling of 24204041120 in words is "twenty-four billion, two hundred four million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6944 8680 17360 34720 697121 1394242 2788484 3485605 4879847 5576968 6971210 9759694 11153936 13942420 19519388 21610751 22307872 24399235 27884840 39038776 43221502 48798470 55769680 78077552 86443004 97596940 108053755 111539360 151275257 156155104 172886008 195193880 216107510 302550514 345772016 390387760 432215020 605101028 691544032 756376285 780775520 864430040 1210202056 1512752570 1728860080 2420404112 3025505140 3457720160 4840808224 6051010280 12102020560 24204041120