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4243104120 = 2335174348371
BaseRepresentation
bin1111110011101000…
…1010000101111000
3101221201011000121110
43330322022011320
532142213312440
61541012240320
7210101534643
oct37472120570
911851130543
104243104120
111888137a22
129a50100a0
135280bb3c8
142c3756a5a
1519c796080
hexfce8a178

4243104120 has 128 divisors (see below), whose sum is σ = 13791824640. Its totient is φ = 1040148480.

The previous prime is 4243104109. The next prime is 4243104127. The reversal of 4243104120 is 214013424.

4243104120 = 51902 + 51912 + ... + 53422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243104127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63535 + ... + 111905.

It is an arithmetic number, because the mean of its divisors is an integer number (107748630).

Almost surely, 24243104120 is an apocalyptic number.

4243104120 is a gapful number since it is divisible by the number (40) 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 4243104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895912320).

4243104120 is an abundant number, since it is smaller than the sum of its proper divisors (9548720520).

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

4243104120 is a wasteful number, since it uses less digits than its factorization.

4243104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48445 (or 48441 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4243104120 is about 65139.1135954428. The cubic root of 4243104120 is about 1618.9293489611.

Adding to 4243104120 its reverse (214013424), we get a palindrome (4457117544).

The spelling of 4243104120 in words is "four billion, two hundred forty-three million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 43 51 60 68 85 86 102 120 129 136 170 172 204 215 255 258 340 344 408 430 510 516 645 680 731 860 1020 1032 1290 1462 1720 2040 2193 2580 2924 3655 4386 5160 5848 7310 8772 10965 14620 17544 21930 29240 43860 48371 87720 96742 145113 193484 241855 290226 386968 483710 580452 725565 822307 967420 1160904 1451130 1644614 1934840 2079953 2466921 2902260 3289228 4111535 4159906 4933842 5804520 6239859 6578456 8223070 8319812 9867684 10399765 12334605 12479718 16446140 16639624 19735368 20799530 24669210 24959436 31199295 32892280 35359201 41599060 49338420 49918872 62398590 70718402 83198120 98676840 106077603 124797180 141436804 176796005 212155206 249594360 282873608 353592010 424310412 530388015 707184020 848620824 1060776030 1414368040 2121552060 4243104120