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4141251240 = 233576773583
BaseRepresentation
bin1111011011010110…
…0111101010101000
3101200121111100201120
43312311213222220
531440130014430
61522533215240
7204424024530
oct36665475250
911617440646
104141251240
1118356a0395
12976a91520
1350cc79429
142b40024c0
15193877610
hexf6d67aa8

4141251240 has 128 divisors (see below), whose sum is σ = 14410690560. Its totient is φ = 932431104.

The previous prime is 4141251239. The next prime is 4141251253. The reversal of 4141251240 is 421521414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4141251240.

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, 19489 + ... + 93071.

It is an arithmetic number, because the mean of its divisors is an integer number (112583520).

Almost surely, 24141251240 is an apocalyptic number.

4141251240 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 4141251240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205345280).

4141251240 is an abundant number, since it is smaller than the sum of its proper divisors (10269439320).

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

4141251240 is a wasteful number, since it uses less digits than its factorization.

4141251240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73671 (or 73667 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 4141251240 is about 64352.5542616608. The cubic root of 4141251240 is about 1605.8705227997.

Adding to 4141251240 its reverse (421521414), we get a palindrome (4562772654).

The spelling of 4141251240 in words is "four billion, one hundred forty-one million, two hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2345 2680 2814 3752 4020 4690 5628 7035 8040 9380 11256 14070 18760 28140 56280 73583 147166 220749 294332 367915 441498 515081 588664 735830 882996 1030162 1103745 1471660 1545243 1765992 2060324 2207490 2575405 2943320 3090486 4120648 4414980 4930061 5150810 6180972 7726215 8829960 9860122 10301620 12361944 14790183 15452430 19720244 20603240 24650305 29580366 30904860 34510427 39440488 49300610 59160732 61809720 69020854 73950915 98601220 103531281 118321464 138041708 147901830 172552135 197202440 207062562 276083416 295803660 345104270 414125124 517656405 591607320 690208540 828250248 1035312810 1380417080 2070625620 4141251240