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4121121240 = 233454992549
BaseRepresentation
bin1111010110100011…
…0101000111011000
3101122012121122120000
43311220311013120
531420001334430
61520533533000
7204060644505
oct36550650730
911565548500
104121121240
1118252a1425
129701a4160
13508a4baa2
142b14824ac
15191bece60
hexf5a351d8

4121121240 has 160 divisors (see below), whose sum is σ = 13884750000. Its totient is φ = 1096333056.

The previous prime is 4121121239. The next prime is 4121121269. The reversal of 4121121240 is 421211214.

4121121240 is a `hidden beast` number, since 412 + 1 + 1 + 212 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1615486 + ... + 1618034.

Almost surely, 24121121240 is an apocalyptic number.

4121121240 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 4121121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942375000).

4121121240 is an abundant number, since it is smaller than the sum of its proper divisors (9763628760).

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

4121121240 is a wasteful number, since it uses less digits than its factorization.

4121121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4121121240 is about 64195.9596859491. The cubic root of 4121121240 is about 1603.2643303546.

Adding to 4121121240 its reverse (421211214), we get a palindrome (4542332454).

The spelling of 4121121240 in words is "four billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 499 540 648 810 998 1080 1497 1620 1996 2495 2549 2994 3240 3992 4491 4990 5098 5988 7485 7647 8982 9980 10196 11976 12745 13473 14970 15294 17964 19960 20392 22455 22941 25490 26946 29940 30588 35928 38235 40419 44910 45882 50980 53892 59880 61176 67365 68823 76470 80838 89820 91764 101960 107784 114705 134730 137646 152940 161676 179640 183528 202095 206469 229410 269460 275292 305880 323352 344115 404190 412938 458820 538920 550584 688230 808380 825876 917640 1032345 1271951 1376460 1616760 1651752 2064690 2543902 2752920 3815853 4129380 5087804 6359755 7631706 8258760 10175608 11447559 12719510 15263412 19079265 22895118 25439020 30526824 34342677 38158530 45790236 50878040 57237795 68685354 76317060 91580472 103028031 114475590 137370708 152634120 171713385 206056062 228951180 274741416 343426770 412112124 457902360 515140155 686853540 824224248 1030280310 1373707080 2060560620 4121121240