Search a number
-
+
111379342217304 = 23371953658363729
BaseRepresentation
bin11001010100110010000110…
…001000001101000001011000
3112121100202112212021111010010
4121110302012020031001120
5104044314343101423204
61032514544034321520
732313614634103110
oct3124620610150130
9477322485244103
10111379342217304
11325417940345a7
12105aa0904292a0
134a1c047153175
141d70b08b5a040
15cd2373ec2d89
hex654c8620d058

111379342217304 has 128 divisors (see below), whose sum is σ = 341295757632000. Its totient is φ = 29578965571584.

The previous prime is 111379342217303. The next prime is 111379342217329. The reversal of 111379342217304 is 403712243973111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111379342217303) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 329012689 + ... + 329351040.

It is an arithmetic number, because the mean of its divisors is an integer number (2666373106500).

Almost surely, 2111379342217304 is an apocalyptic number.

111379342217304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

111379342217304 is an abundant number, since it is smaller than the sum of its proper divisors (229916415414696).

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

111379342217304 is a wasteful number, since it uses less digits than its factorization.

111379342217304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658363817 (or 658363813 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 111379342217304 in words is "one hundred eleven trillion, three hundred seventy-nine billion, three hundred forty-two million, two hundred seventeen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 53 56 57 76 84 106 114 133 152 159 168 212 228 266 318 371 399 424 456 532 636 742 798 1007 1064 1113 1272 1484 1596 2014 2226 2968 3021 3192 4028 4452 6042 7049 8056 8904 12084 14098 21147 24168 28196 42294 56392 84588 169176 658363729 1316727458 1975091187 2633454916 3950182374 4608546103 5266909832 7900364748 9217092206 12508910851 13825638309 15800729496 18434184412 25017821702 27651276618 34893277637 36868368824 37526732553 50035643404 55302553236 69786555274 75053465106 87562375957 100071286808 104679832911 110605106472 139573110548 150106930212 175124751914 209359665822 244252943459 262687127871 279146221096 300213860424 350249503828 418719331644 488505886918 525374255742 662972275103 700499007656 732758830377 837438663288 977011773836 1050748511484 1325944550206 1465517660754 1954023547672 1988916825309 2101497022968 2651889100412 2931035321508 3977833650618 4640805925721 5303778200824 5862070643016 7955667301236 9281611851442 13922417777163 15911334602472 18563223702884 27844835554326 37126447405768 55689671108652 111379342217304