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1300114116240 = 243531709246469
BaseRepresentation
bin10010111010110100110…
…101110000111010010000
311121021211012002011021120
4102322310311300322100
5132300113203204430
62433133021322240
7162634016435652
oct22726465607220
94537735064246
101300114116240
11461414585435
1218bb79706380
13957a5941244
1446cd67b26d2
1523c43e67610
hex12eb4d70e90

1300114116240 has 160 divisors (see below), whose sum is σ = 4166250009600. Its totient is φ = 335038740480.

The previous prime is 1300114116233. The next prime is 1300114116253. The reversal of 1300114116240 is 426114110031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1300114116240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5151726 + ... + 5398194.

It is an arithmetic number, because the mean of its divisors is an integer number (26039062560).

Almost surely, 21300114116240 is an apocalyptic number.

1300114116240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300114116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083125004800).

1300114116240 is an abundant number, since it is smaller than the sum of its proper divisors (2866135893360).

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

1300114116240 is a wasteful number, since it uses less digits than its factorization.

1300114116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247225 (or 247219 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1300114116240 its reverse (426114110031), we get a palindrome (1726228226271).

The spelling of 1300114116240 in words is "one trillion, three hundred billion, one hundred fourteen million, one hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 709 744 930 1240 1418 1488 1860 2127 2480 2836 3545 3720 4254 5672 7090 7440 8508 10635 11344 14180 17016 21270 21979 28360 34032 42540 43958 56720 65937 85080 87916 109895 131874 170160 175832 219790 246469 263748 329685 351664 439580 492938 527496 659370 739407 879160 985876 1054992 1232345 1318740 1478814 1758320 1971752 2464690 2637480 2957628 3697035 3943504 4929380 5274960 5915256 7394070 7640539 9858760 11830512 14788140 15281078 19717520 22921617 29576280 30562156 38202695 45843234 59152560 61124312 76405390 91686468 114608085 122248624 152810780 174746521 183372936 229216170 305621560 349493042 366745872 458432340 524239563 611243120 698986084 873732605 916864680 1048479126 1397972168 1747465210 1833729360 2096958252 2621197815 2795944336 3494930420 4193916504 5242395630 5417142151 6989860840 8387833008 10484791260 10834284302 13979721680 16251426453 20969582520 21668568604 27085710755 32502852906 41939165040 43337137208 54171421510 65005705812 81257132265 86674274416 108342843020 130011411624 162514264530 216685686040 260022823248 325028529060 433371372080 650057058120 1300114116240