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114330563330840 = 23536742133295557
BaseRepresentation
bin11001111111101110101000…
…100111010100001100011000
3112222210220011112110120210122
4121333232220213110030120
5104441142443203041330
61043054422525132412
733040052640500213
oct3177565047241430
9488726145416718
10114330563330840
113347a35745496a
12109a60423ba108
134ba4430bbaa2c
1420338b358a77a
15d3400117d5e5
hex67fba89d4318

114330563330840 has 128 divisors (see below), whose sum is σ = 258681609849600. Its totient is φ = 45477429903360.

The previous prime is 114330563330777. The next prime is 114330563330881. The reversal of 114330563330840 is 48033365033411.

It is a junction number, because it is equal to n+sod(n) for n = 114330563330791 and 114330563330800.

It is a congruent number.

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, 20574149342 + ... + 20574154898.

It is an arithmetic number, because the mean of its divisors is an integer number (2020950076950).

Almost surely, 2114330563330840 is an apocalyptic number.

114330563330840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114330563330840 is an abundant number, since it is smaller than the sum of its proper divisors (144351046518760).

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

114330563330840 is a wasteful number, since it uses less digits than its factorization.

114330563330840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9685 (or 9681 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 44.

The spelling of 114330563330840 in words is "one hundred fourteen trillion, three hundred thirty billion, five hundred sixty-three million, three hundred thirty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 367 421 734 842 1468 1684 1835 2105 2936 3329 3368 3670 4210 5557 6658 7340 8420 11114 13316 14680 16645 16840 22228 26632 27785 33290 44456 55570 66580 111140 133160 154507 222280 309014 618028 772535 1221743 1236056 1401509 1545070 2039419 2339497 2443486 2803018 3090140 4078838 4678994 4886972 5606036 6108715 6180280 7007545 8157676 9357988 9773944 10197095 11212072 11697485 12217430 14015090 16315352 18499253 18715976 20394190 23394970 24434860 28030180 36998506 40788380 46789940 48869720 56060360 73997012 81576760 92496265 93579880 147994024 184992530 369985060 514353803 739970120 858595399 1028707606 1717190798 2057415212 2571769015 3434381596 4114830424 4292976995 5143538030 6789225851 6868763192 7788185513 8585953990 10287076060 13578451702 15576371026 17171907980 20574152120 27156903404 31152742052 33946129255 34343815960 38940927565 54313806808 62305484104 67892258510 77881855130 135784517020 155763710260 271569034040 311527420520 2858264083271 5716528166542 11433056333084 14291320416355 22866112666168 28582640832710 57165281665420 114330563330840