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4224144114102 = 2311417392112353
BaseRepresentation
bin111101011110000010100…
…111000000000110110110
3112221211020212101110111210
4331132002213000012312
51023202021343122402
612552313420142250
7614120141354253
oct75360247000666
915854225343453
104224144114102
1113894a4258080
12582801397986
13248448231a53
14108641c5242a
1574d2dddb06c
hex3d7829c01b6

4224144114102 has 64 divisors (see below), whose sum is σ = 9453882574080. Its totient is φ = 1247132620800.

The previous prime is 4224144114083. The next prime is 4224144114103. The reversal of 4224144114102 is 2014114414224.

It is a self number, because there is not a number n which added to its sum of digits gives 4224144114102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224144114103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 943558 + ... + 3055910.

It is an arithmetic number, because the mean of its divisors is an integer number (147716915220).

Almost surely, 24224144114102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224144114102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726941287040).

4224144114102 is an abundant number, since it is smaller than the sum of its proper divisors (5229738459978).

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

4224144114102 is a wasteful number, since it uses less digits than its factorization.

4224144114102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113149.

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 4224144114102 its reverse (2014114414224), we get a palindrome (6238258528326).

The spelling of 4224144114102 in words is "four trillion, two hundred twenty-four billion, one hundred forty-four million, one hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 739 902 1353 1478 2217 2706 4434 8129 16258 24387 30299 48774 60598 90897 181794 333289 666578 999867 1999734 2112353 4224706 6337059 12674118 23235883 46471766 69707649 86606473 139415298 173212946 259819419 519638838 952671203 1561028867 1905342406 2858013609 3122057734 4683086601 5716027218 9366173202 17171317537 34342635074 51513952611 64002183547 103027905222 128004367094 192006550641 384013101282 704024019017 1408048038034 2112072057051 4224144114102