Search a number
-
+
4742226823000 = 2353171553179623
BaseRepresentation
bin100010100000010001010…
…1111101100011101011000
3121210100111221101222001111
41011000202233230131120
51110144040031314000
614030314322430104
7666420541623562
oct105004257543530
917710457358044
104742226823000
111569192459397
126470aa202334
1328526177b474
1412574c872332
15835522b3cba
hex45022bec758

4742226823000 has 128 divisors (see below), whose sum is σ = 11757195515520. Its totient is φ = 1784149401600.

The previous prime is 4742226822899. The next prime is 4742226823001. The reversal of 4742226823000 is 3286222474.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742226823001) by changing a digit.

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, 26311189 + ... + 26490811.

It is an arithmetic number, because the mean of its divisors is an integer number (91853089965).

Almost surely, 24742226823000 is an apocalyptic number.

4742226823000 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 4742226823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878597757760).

4742226823000 is an abundant number, since it is smaller than the sum of its proper divisors (7014968692520).

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

4742226823000 is a wasteful number, since it uses less digits than its factorization.

4742226823000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181214 (or 181200 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 4742226823000 in words is "four trillion, seven hundred forty-two billion, two hundred twenty-six million, eight hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1553 1700 2125 3106 3400 4250 6212 7765 8500 12424 15530 17000 26401 31060 38825 52802 62120 77650 105604 132005 155300 179623 194125 211208 264010 310600 359246 388250 528020 660025 718492 776500 898115 1056040 1320050 1436984 1553000 1796230 2640100 3053591 3300125 3592460 4490575 5280200 6107182 6600250 7184920 8981150 12214364 13200500 15267955 17962300 22452875 24428728 26401000 30535910 35924600 44905750 61071820 76339775 89811500 122143640 152679550 179623000 278954519 305359100 381698875 557909038 610718200 763397750 1115818076 1394772595 1526795500 2231636152 2789545190 3053591000 4742226823 5579090380 6973862975 9484453646 11158180760 13947725950 18968907292 23711134115 27895451900 34869314875 37937814584 47422268230 55790903800 69738629750 94844536460 118555670575 139477259500 189689072920 237111341150 278954519000 474222682300 592778352875 948445364600 1185556705750 2371113411500 4742226823000