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4042241053000 = 235323781722483
BaseRepresentation
bin111010110100101000010…
…101111001000101001000
3112022102201201200112012121
4322310220111321011020
51012212002202144000
612332551354221024
7565020334015123
oct72645025710510
915272651615177
104042241053000
111319339769a27
125534b6424774
13234249254557
14dd9073d33ba
15702345bcb1a
hex3ad28579148

4042241053000 has 128 divisors (see below), whose sum is σ = 9871799857920. Its totient is φ = 1546329945600.

The previous prime is 4042241052947. The next prime is 4042241053003. The reversal of 4042241053000 is 3501422404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4042241053003) 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, 179779759 + ... + 179802241.

It is an arithmetic number, because the mean of its divisors is an integer number (77123436390).

Almost surely, 24042241053000 is an apocalyptic number.

4042241053000 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 4042241053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935899928960).

4042241053000 is an abundant number, since it is smaller than the sum of its proper divisors (5829558804920).

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

4042241053000 is a wasteful number, since it uses less digits than its factorization.

4042241053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30344 (or 30330 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 4042241053000 its reverse (3501422404), we get a palindrome (4045742475404).

The spelling of 4042241053000 in words is "four trillion, forty-two billion, two hundred forty-one million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 7817 11500 15634 22483 23000 31268 39085 44966 62536 78170 89932 112415 156340 179791 179864 195425 224830 312680 359582 390850 449660 517109 562075 719164 781700 898955 899320 977125 1034218 1124150 1438328 1563400 1797910 1954250 2068436 2248300 2585545 2810375 3595820 3908500 4136872 4494775 4496600 5171090 5620750 7191640 7817000 8989550 10342180 11241500 12927725 17979100 20684360 22473875 22483000 25855450 35958200 44947750 51710900 64638625 89895500 103421800 129277250 175749611 179791000 258554500 351499222 517109000 702998444 878748055 1405996888 1757496110 3514992220 4042241053 4393740275 7029984440 8084482106 8787480550 16168964212 17574961100 20211205265 21968701375 32337928424 35149922200 40422410530 43937402750 80844821060 87874805500 101056026325 161689642120 175749611000 202112052650 404224105300 505280131625 808448210600 1010560263250 2021120526500 4042241053000