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114121754460 = 223257175327813
BaseRepresentation
bin110101001001000101…
…1111100011101011100
3101220120100012210112200
41222102023330131130
53332210132120320
6124232105131500
711150020623210
oct1522213743534
9356510183480
10114121754460
114444283425a
121a14b189b90
13a9b940ac7c
14574878c940
152e7ddbd290
hex1a922fc75c

114121754460 has 144 divisors (see below), whose sum is σ = 418894047936. Its totient is φ = 24550557696.

The previous prime is 114121754441. The next prime is 114121754519. The reversal of 114121754460 is 64457121411.

114121754460 is a `hidden beast` number, since 1 + 1 + 4 + 121 + 75 + 4 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2642487 + ... + 2685326.

It is an arithmetic number, because the mean of its divisors is an integer number (2908986444).

Almost surely, 2114121754460 is an apocalyptic number.

114121754460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114121754460 is an abundant number, since it is smaller than the sum of its proper divisors (304772293476).

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

114121754460 is a wasteful number, since it uses less digits than its factorization.

114121754460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5327852 (or 5327847 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 114121754460 its reverse (64457121411), we get a palindrome (178578875871).

The spelling of 114121754460 in words is "one hundred fourteen billion, one hundred twenty-one million, seven hundred fifty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 5327813 10655626 15983439 21311252 26639065 31966878 37294691 47950317 53278130 63933756 74589382 79917195 90572821 95900634 106556260 111884073 149178764 159834390 181145642 186473455 191801268 223768146 239751585 271718463 319668780 335652219 362291284 372946910 447536292 452864105 479503170 543436926 559420365 634009747 671304438 745893820 815155389 905728210 959006340 1086873852 1118840730 1268019494 1342608876 1358592315 1630310778 1678261095 1811456420 1902029241 2237681460 2536038988 2717184630 3170048735 3260621556 3356522190 3804058482 4075776945 5434369260 5706087723 6340097470 6713044380 7608116964 8151553890 9510146205 11412175446 12680194940 16303107780 19020292410 22824350892 28530438615 38040584820 57060877230 114121754460