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4242124020232 = 237792398634649
BaseRepresentation
bin111101101110110010010…
…010111001101000001000
3120000112122220202022221001
4331232302102321220020
51024000332222121412
613004445504024344
7615324534136540
oct75566222715010
916015586668831
104242124020232
11139609046572a
1258619a9020b4
1324a052248267
14109469b2c320
1575532625957
hex3dbb24b9a08

4242124020232 has 128 divisors (see below), whose sum is σ = 9256550400000. Its totient is φ = 1785073844736.

The previous prime is 4242124020221. The next prime is 4242124020271. The reversal of 4242124020232 is 2320204212424.

It is a happy number.

4242124020232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4242124020232.

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, 912478644 + ... + 912483292.

It is an arithmetic number, because the mean of its divisors is an integer number (72316800000).

Almost surely, 24242124020232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242124020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628275200000).

4242124020232 is an abundant number, since it is smaller than the sum of its proper divisors (5014426379768).

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

4242124020232 is a wasteful number, since it uses less digits than its factorization.

4242124020232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4242124020232 its reverse (2320204212424), we get a palindrome (6562328232656).

It can be divided in two parts, 424212 and 4020232, that added together give a palindrome (4444444).

The spelling of 4242124020232 in words is "four trillion, two hundred forty-two billion, one hundred twenty-four million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 79 158 239 316 478 553 632 863 956 1106 1673 1726 1912 2212 3346 3452 4424 4649 6041 6692 6904 9298 12082 13384 18596 18881 24164 32543 37192 37762 48328 65086 68177 75524 130172 132167 136354 151048 206257 260344 264334 272708 367271 412514 477239 528668 545416 734542 825028 954478 1057336 1111111 1443799 1469084 1650056 1908956 2222222 2570897 2887598 2938168 3817912 4012087 4444444 5141794 5775196 7777777 8024174 8888888 10283588 11550392 15555554 16048348 16294303 20567176 28084609 31111108 32096696 32588606 56169218 62222216 65177212 87777769 112338436 114060121 130354424 175555538 224676872 228120242 316954873 351111076 456240484 614444383 633909746 702222152 912480968 958888793 1228888766 1267819492 1917777586 2218684111 2457777532 2535638984 3835555172 4437368222 4915555064 6712221551 7671110344 8874736444 13424443102 17749472888 26848886204 53697772408 75752214647 151504429294 303008858588 530265502529 606017717176 1060531005058 2121062010116 4242124020232