Search a number
-
+
2424431040300 = 22325219141779593
BaseRepresentation
bin100011010001111011010…
…110011101011100101100
322120202212202201122210100
4203101323112131130230
5304210213321242200
65053433535111100
7340105442551563
oct43217326353454
98522782648710
102424431040300
11855217132385
12331a55072490
1314781358a979
14854b3612bda
15430e965cd00
hex2347b59d72c

2424431040300 has 108 divisors (see below), whose sum is σ = 7999204693480. Its totient is φ = 612487837440.

The previous prime is 2424431040293. The next prime is 2424431040307. The reversal of 2424431040300 is 30401344242.

It is a happy number.

2424431040300 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 4 + 310 + 40 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (2424431040293) and next prime (2424431040307).

It is not an unprimeable number, because it can be changed into a prime (2424431040307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70872697 + ... + 70906896.

Almost surely, 22424431040300 is an apocalyptic number.

2424431040300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424431040300 is an abundant number, since it is smaller than the sum of its proper divisors (5574773653180).

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

2424431040300 is a wasteful number, since it uses less digits than its factorization.

2424431040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141779632 (or 141779622 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2424431040300 its reverse (30401344242), we get a palindrome (2454832384542).

The spelling of 2424431040300 in words is "two trillion, four hundred twenty-four billion, four hundred thirty-one million, forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 150 171 180 190 225 228 285 300 342 380 450 475 570 684 855 900 950 1140 1425 1710 1900 2850 3420 4275 5700 8550 17100 141779593 283559186 425338779 567118372 708897965 850677558 1276016337 1417795930 1701355116 2126693895 2552032674 2693812267 2835591860 3544489825 4253387790 5104065348 5387624534 6380081685 7088979650 8081436801 8506775580 10633469475 10775249068 12760163370 13469061335 14177959300 16162873602 21266938950 24244310403 25520326740 26938122670 31900408425 32325747204 40407184005 42533877900 48488620806 53876245340 63800816850 67345306675 80814368010 96977241612 121221552015 127601633700 134690613350 161628736020 202035920025 242443104030 269381226700 404071840050 484886208060 606107760075 808143680100 1212215520150 2424431040300