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114044210130 = 235296713714281
BaseRepresentation
bin110101000110110010…
…0001000101111010010
3101220100221022010201110
41222031210020233102
53332030304211010
6124220255114150
711145056535354
oct1521544105722
9356327263643
10114044210130
1144402a90034
121a129212956
13a9a632a556
14573c3650d4
152e771a2120
hex1a8d908bd2

114044210130 has 128 divisors (see below), whose sum is σ = 289488142080. Its totient is φ = 28711710720.

The previous prime is 114044210107. The next prime is 114044210171. The reversal of 114044210130 is 31012440411.

It is a junction number, because it is equal to n+sod(n) for n = 114044210097 and 114044210106.

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 63 ways as a sum of consecutive naturals, for example, 7978590 + ... + 7992870.

It is an arithmetic number, because the mean of its divisors is an integer number (2261626110).

Almost surely, 2114044210130 is an apocalyptic number.

114044210130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114044210130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144744071040).

114044210130 is an abundant number, since it is smaller than the sum of its proper divisors (175443931950).

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

114044210130 is a wasteful number, since it uses less digits than its factorization.

114044210130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14524.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 114044210130 its reverse (31012440411), we get a palindrome (145056650541).

The spelling of 114044210130 in words is "one hundred fourteen billion, forty-four million, two hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 67 87 134 137 145 174 201 274 290 335 402 411 435 670 685 822 870 1005 1370 1943 2010 2055 3886 3973 4110 5829 7946 9179 9715 11658 11919 14281 18358 19430 19865 23838 27537 28562 29145 39730 42843 45895 55074 58290 59595 71405 85686 91790 119190 137685 142810 214215 266191 275370 414149 428430 532382 798573 828298 956827 1242447 1330955 1597146 1913654 1956497 2070745 2484894 2661910 2870481 3912994 3992865 4141490 4784135 5740962 5869491 6212235 7985730 9568270 9782485 11738982 12424470 14352405 19564970 27747983 28704810 29347455 55495966 56738413 58694910 83243949 113476826 131085299 138739915 166487898 170215239 262170598 277479830 283692065 340430478 393255897 416219745 567384130 655426495 786511794 832439490 851076195 1310852990 1702152390 1966279485 3801473671 3932558970 7602947342 11404421013 19007368355 22808842026 38014736710 57022105065 114044210130