Search a number
-
+
4103242000 = 2453111314347
BaseRepresentation
bin1111010010010010…
…1000000100010000
3101120221222021211221
43310210220010100
531400412221000
61515054414424
7203452660444
oct36444500420
911527867757
104103242000
11181619a4a0
12966201414
1350512ba60
142acd4a824
1519036a61a
hexf4928110

4103242000 has 160 divisors (see below), whose sum is σ = 11657003904. Its totient is φ = 1377216000.

The previous prime is 4103241997. The next prime is 4103242007. The reversal of 4103242000 is 2423014.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4103242007) 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, 278827 + ... + 293173.

Almost surely, 24103242000 is an apocalyptic number.

4103242000 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 4103242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828501952).

4103242000 is an abundant number, since it is smaller than the sum of its proper divisors (7553761904).

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

4103242000 is a wasteful number, since it uses less digits than its factorization.

4103242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14394 (or 14378 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4103242000 is about 64056.5531386134. The cubic root of 4103242000 is about 1600.9424135515.

Adding to 4103242000 its reverse (2423014), we get a palindrome (4105665014).

The spelling of 4103242000 in words is "four billion, one hundred three million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 125 130 143 176 200 208 220 250 260 275 286 325 400 440 500 520 550 572 650 715 880 1000 1040 1100 1144 1300 1375 1430 1625 2000 2200 2288 2600 2750 2860 3250 3575 4400 5200 5500 5720 6500 7150 11000 11440 13000 14300 14347 17875 22000 26000 28600 28694 35750 57200 57388 71500 71735 114776 143000 143470 157817 186511 229552 286000 286940 315634 358675 373022 573880 631268 717350 746044 789085 932555 1147760 1262536 1434700 1492088 1578170 1793375 1865110 2051621 2525072 2869400 2984176 3156340 3586750 3730220 3945425 4103242 4662775 5738800 6312680 7173500 7460440 7890850 8206484 9325550 10258105 12625360 14347000 14920880 15781700 16412968 18651100 19727125 20516210 23313875 28694000 31563400 32825936 37302200 39454250 41032420 46627750 51290525 63126800 74604400 78908500 82064840 93255500 102581050 157817000 164129680 186511000 205162100 256452625 315634000 373022000 410324200 512905250 820648400 1025810500 2051621000 4103242000