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4244202240100 = 2252172146858209
BaseRepresentation
bin111101110000101110001…
…010101011100001100100
3120000202000202021211122021
4331300232022223201210
51024014111233140400
613005432023312524
7615430200541564
oct75605612534144
916022022254567
104244202240100
111396a57578009
1258667a8ab744
1324a2c397b664
141095c5b48da4
1575604cd971a
hex3dc2e2ab864

4244202240100 has 54 divisors (see below), whose sum is σ = 9783547091990. Its totient is φ = 1597817303040.

The previous prime is 4244202240017. The next prime is 4244202240101. The reversal of 4244202240100 is 10422024424.

4244202240100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 47800825956 + 4196401414144 = 218634^2 + 2048512^2 .

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 (4244202240101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73400205 + ... + 73458004.

Almost surely, 24244202240100 is an apocalyptic number.

It is an amenable number.

4244202240100 is an abundant number, since it is smaller than the sum of its proper divisors (5539344851890).

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

4244202240100 is a wasteful number, since it uses less digits than its factorization.

4244202240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146858257 (or 146858233 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 4244202240100 its reverse (10422024424), we get a palindrome (4254624264524).

The spelling of 4244202240100 in words is "four trillion, two hundred forty-four billion, two hundred two million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 14450 28900 146858209 293716418 587432836 734291045 1468582090 2496589553 2937164180 3671455225 4993179106 7342910450 9986358212 12482947765 14685820900 24965895530 42442022401 49931791060 62414738825 84884044802 124829477650 169768089604 212210112005 249658955300 424420224010 848840448020 1061050560025 2122101120050 4244202240100