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4124121240 = 2335593111873
BaseRepresentation
bin1111010111010001…
…0001100010011000
3101122102021001210010
43311310101202120
531421233334430
61521122121520
7204125311041
oct36564214230
911572231703
104124121240
111826a60368
129711b02a0
1350955c435
142b1a238c8
151920e1cb0
hexf5d11898

4124121240 has 128 divisors (see below), whose sum is σ = 12629260800. Its totient is φ = 1077073920.

The previous prime is 4124121217. The next prime is 4124121241. The reversal of 4124121240 is 421214214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124121241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2200944 + ... + 2202816.

It is an arithmetic number, because the mean of its divisors is an integer number (98666100).

Almost surely, 24124121240 is an apocalyptic number.

4124121240 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 4124121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314630400).

4124121240 is an abundant number, since it is smaller than the sum of its proper divisors (8505139560).

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

4124121240 is a wasteful number, since it uses less digits than its factorization.

4124121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4124121240 is about 64219.3213916186. The cubic root of 4124121240 is about 1603.6532719455.

Adding to 4124121240 its reverse (421214214), we get a palindrome (4545335454).

It can be divided in two parts, 41241 and 21240, that added together give a triangular number (62481 = T353).

The spelling of 4124121240 in words is "four billion, one hundred twenty-four million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 311 354 472 590 622 708 885 933 1180 1244 1416 1555 1770 1866 1873 2360 2488 3110 3540 3732 3746 4665 5619 6220 7080 7464 7492 9330 9365 11238 12440 14984 18349 18660 18730 22476 28095 36698 37320 37460 44952 55047 56190 73396 74920 91745 110094 110507 112380 146792 183490 220188 221014 224760 275235 331521 366980 440376 442028 550470 552535 582503 663042 733960 884056 1100940 1105070 1165006 1326084 1657605 1747509 2201880 2210140 2330012 2652168 2912515 3315210 3495018 4420280 4660024 5825030 6630420 6990036 8737545 11650060 13260840 13980072 17475090 23300120 34367677 34950180 68735354 69900360 103103031 137470708 171838385 206206062 274941416 343676770 412412124 515515155 687353540 824824248 1031030310 1374707080 2062060620 4124121240