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114004244310 = 235113074612441
BaseRepresentation
bin110101000101100101…
…1101011011101010110
3101220021011002122220220
41222023023223131112
53331440041304220
6124212310335210
711144063042055
oct1521313533526
9356234078826
10114004244310
1144392473130
121a11795a506
13a99ac76438
145736d2039c
152e7390a540
hex1a8b2eb756

114004244310 has 128 divisors (see below), whose sum is σ = 300228622848. Its totient is φ = 27476352000.

The previous prime is 114004244309. The next prime is 114004244423. The reversal of 114004244310 is 13442400411.

It is a super-2 number, since 2×1140042443102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46702690 + ... + 46705130.

It is an arithmetic number, because the mean of its divisors is an integer number (2345536116).

Almost surely, 2114004244310 is an apocalyptic number.

114004244310 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 114004244310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150114311424).

114004244310 is an abundant number, since it is smaller than the sum of its proper divisors (186224378538).

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

114004244310 is a wasteful number, since it uses less digits than its factorization.

114004244310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114004244310 its reverse (13442400411), we get a palindrome (127446644721).

The spelling of 114004244310 in words is "one hundred fourteen billion, four million, two hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 307 330 461 614 921 922 1383 1535 1842 2305 2441 2766 3070 3377 4605 4610 4882 5071 6754 6915 7323 9210 10131 10142 12205 13830 14646 15213 16885 20262 24410 25355 26851 30426 33770 36615 50655 50710 53702 73230 76065 80553 101310 134255 141527 152130 161106 268510 283054 402765 424581 707635 749387 805530 849162 1125301 1415270 1498774 1556797 2122905 2248161 2250602 3113594 3375903 3746935 4245810 4496322 4670391 5626505 6751806 7493870 7783985 8243257 9340782 11240805 11253010 12378311 15567970 16486514 16879515 22481610 23351955 24729771 24756622 33759030 37134933 41216285 46703910 49459542 61891555 74269866 82432570 123648855 123783110 185674665 247297710 345467407 371349330 690934814 1036402221 1727337035 2072804442 3454674070 3800141477 5182011105 7600282954 10364022210 11400424431 19000707385 22800848862 38001414770 57002122155 114004244310