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114110410224 = 243175310724659
BaseRepresentation
bin110101001000110000…
…0101010110111110000
3101220112112212110011210
41222101200222313300
53332144231111344
6124231022040120
711146522324506
oct1522140526760
9356475773153
10114110410224
1144437396158
121a147419040
13a9b6c685c5
145747078676
152e7cdcbdb9
hex1a9182adf0

114110410224 has 160 divisors (see below), whose sum is σ = 320999811840. Its totient is φ = 34794213376.

The previous prime is 114110410201. The next prime is 114110410247. The reversal of 114110410224 is 422014011411.

It is an interprime number because it is at equal distance from previous prime (114110410201) and next prime (114110410247).

It is a self number, because there is not a number n which added to its sum of digits gives 114110410224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4615207 + ... + 4639865.

It is an arithmetic number, because the mean of its divisors is an integer number (2006248824).

Almost surely, 2114110410224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114110410224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160499905920).

114110410224 is an abundant number, since it is smaller than the sum of its proper divisors (206889401616).

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

114110410224 is a wasteful number, since it uses less digits than its factorization.

114110410224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24847 (or 24841 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 114110410224 its reverse (422014011411), we get a palindrome (536124421635).

The spelling of 114110410224 in words is "one hundred fourteen billion, one hundred ten million, four hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 107 136 159 204 212 214 272 318 321 408 424 428 636 642 816 848 856 901 1272 1284 1712 1802 1819 2544 2568 2703 3604 3638 5136 5406 5457 5671 7208 7276 10812 10914 11342 14416 14552 17013 21624 21828 22684 24659 29104 34026 43248 43656 45368 49318 68052 73977 87312 90736 96407 98636 136104 147954 192814 197272 272208 289221 295908 385628 394544 419203 578442 591816 771256 838406 1156884 1183632 1257609 1306927 1542512 1676812 2313768 2515218 2613854 2638513 3353624 3920781 4627536 5030436 5227708 5277026 6707248 7841562 7915539 10060872 10455416 10554052 15683124 15831078 20121744 20910832 21108104 22217759 31366248 31662156 42216208 44435518 44854721 62732496 63324312 66653277 88871036 89709442 126648624 133306554 134564163 139841189 177742072 179418884 266613108 269128326 279682378 355484144 358837768 419523567 533226216 538256652 559364756 717675536 839047134 1066452432 1076513304 1118729512 1678094268 2153026608 2237459024 2377300213 3356188536 4754600426 6712377072 7131900639 9509200852 14263801278 19018401704 28527602556 38036803408 57055205112 114110410224