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4381608140 = 22571322910513
BaseRepresentation
bin1000001010010101…
…00000100011001100
3102022100202202101222
410011022200203030
532433142430030
62002441022512
7213403024520
oct40512404314
912270682358
104381608140
111949338058
12a23484a38
1354a9c3850
142d7ccbd80
151a9a043e5
hex1052a08cc

4381608140 has 96 divisors (see below), whose sum is σ = 11375306880. Its totient is φ = 1380519936.

The previous prime is 4381608139. The next prime is 4381608149. The reversal of 4381608140 is 418061834.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4381608140.

It is not an unprimeable number, because it can be changed into a prime (4381608149) 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, 411524 + ... + 422036.

It is an arithmetic number, because the mean of its divisors is an integer number (118492780).

Almost surely, 24381608140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4381608140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687653440).

4381608140 is an abundant number, since it is smaller than the sum of its proper divisors (6993698740).

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

4381608140 is a wasteful number, since it uses less digits than its factorization.

4381608140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10771 (or 10769 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 4381608140 is about 66193.7167713069. The cubic root of 4381608140 is about 1636.3561947230.

Adding to 4381608140 its reverse (418061834), we get a palindrome (4799669974).

The spelling of 4381608140 in words is "four billion, three hundred eighty-one million, six hundred eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 229 260 364 455 458 910 916 1145 1603 1820 2290 2977 3206 4580 5954 6412 8015 10513 11908 14885 16030 20839 21026 29770 32060 41678 42052 52565 59540 73591 83356 104195 105130 136669 147182 208390 210260 273338 294364 367955 416780 546676 683345 735910 956683 1366690 1471820 1913366 2407477 2733380 3826732 4783415 4814954 9566830 9629908 12037385 16852339 19133660 24074770 31297201 33704678 48149540 62594402 67409356 84261695 125188804 156486005 168523390 219080407 312972010 337046780 438160814 625944020 876321628 1095402035 2190804070 4381608140