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4243240120 = 2357177511187
BaseRepresentation
bin1111110011101010…
…1011010010111000
3101221201101221011111
43330322223102320
532142232140440
61541015210104
7210102642310
oct37472532270
911851357144
104243240120
111888220119
129a5076934
13528138292
142c3790440
1519c7c14ea
hexfceab4b8

4243240120 has 128 divisors (see below), whose sum is σ = 11578152960. Its totient is φ = 1366272000.

The previous prime is 4243240097. The next prime is 4243240187. The reversal of 4243240120 is 210423424.

It is a happy number.

It is a super-2 number, since 2×42432401202 = 36010173431955228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4243240091 and 4243240100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3574167 + ... + 3575353.

It is an arithmetic number, because the mean of its divisors is an integer number (90454320).

Almost surely, 24243240120 is an apocalyptic number.

4243240120 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 4243240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789076480).

4243240120 is an abundant number, since it is smaller than the sum of its proper divisors (7334912840).

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

4243240120 is a wasteful number, since it uses less digits than its factorization.

4243240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4243240120 is about 65140.1575067178. The cubic root of 4243240120 is about 1618.9466454208.

Adding to 4243240120 its reverse (210423424), we get a palindrome (4453663544).

The spelling of 4243240120 in words is "four billion, two hundred forty-three million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 751 952 1187 1190 1502 2374 2380 3004 3755 4748 4760 5257 5935 6008 7510 8309 9496 10514 11870 12767 15020 16618 20179 21028 23740 25534 26285 30040 33236 40358 41545 42056 47480 51068 52570 63835 66472 80716 83090 89369 100895 102136 105140 127670 141253 161432 166180 178738 201790 210280 255340 282506 332360 357476 403580 446845 510680 565012 706265 714952 807160 891437 893690 1130024 1412530 1782874 1787380 2825060 3565748 3574760 4457185 5650120 6240059 7131496 8914370 12480118 15154429 17828740 24960236 30308858 31200295 35657480 49920472 60617716 62400590 75772145 106081003 121235432 124801180 151544290 212162006 249602360 303088580 424324012 530405015 606177160 848648024 1060810030 2121620060 4243240120