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4300441040 = 245717557811
BaseRepresentation
bin1000000000101001…
…11000010111010000
3102002201001001002002
410000110320113100
532301403103130
61550421213132
7211366100660
oct40024702720
912081031062
104300441040
11190753a005
12a002611a8
13536c4518c
142cb2001a0
151a281eb45
hex1005385d0

4300441040 has 160 divisors (see below), whose sum is σ = 12135723264. Its totient is φ = 1383505920.

The previous prime is 4300441027. The next prime is 4300441043. The reversal of 4300441040 is 401440034.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4300441043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5302235 + ... + 5303045.

Almost surely, 24300441040 is an apocalyptic number.

4300441040 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 4300441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067861632).

4300441040 is an abundant number, since it is smaller than the sum of its proper divisors (7835282224).

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

4300441040 is a wasteful number, since it uses less digits than its factorization.

4300441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4300441040 is about 65577.7480552664. The cubic root of 4300441040 is about 1626.1889258905.

Adding to 4300441040 its reverse (401440034), we get a palindrome (4701881074).

The spelling of 4300441040 in words is "four billion, three hundred million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 557 560 595 680 811 952 1114 1190 1360 1622 1904 2228 2380 2785 3244 3899 4055 4456 4760 5570 5677 6488 7798 8110 8912 9469 9520 11140 11354 12976 13787 15596 16220 18938 19495 22280 22708 27574 28385 31192 32440 37876 38990 44560 45416 47345 55148 56770 62384 64880 66283 68935 75752 77980 90832 94690 96509 110296 113540 132566 137870 151504 155960 189380 193018 220592 227080 265132 275740 311920 331415 378760 386036 451727 454160 482545 530264 551480 662830 757520 772072 903454 965090 1060528 1102960 1325660 1544144 1806908 1930180 2258635 2651320 3162089 3613816 3860360 4517270 5302640 6324178 7227632 7679359 7720720 9034540 12648356 15358718 15810445 18069080 25296712 30717436 31620890 36138160 38396795 50593424 53755513 61434872 63241780 76793590 107511026 122869744 126483560 153587180 215022052 252967120 268777565 307174360 430044104 537555130 614348720 860088208 1075110260 2150220520 4300441040