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114403445242240 = 2757112321498483
BaseRepresentation
bin11010000000110010100000…
…101101101111100110000000
3120000001212021210122021220111
4122000302200231233212000
5104443341223440222430
61043152114525321104
733045243010512010
oct3200624055574600
9500055253567814
10114403445242240
11334a82573906a0
12109b81a2406194
134bab2774119ab
142037228c29c40
15d35d697a8c2a
hex680ca0b6f980

114403445242240 has 128 divisors (see below), whose sum is σ = 340981697329920. Its totient is φ = 35658216683520.

The previous prime is 114403445242063. The next prime is 114403445242291. The reversal of 114403445242240 is 42242544304411.

114403445242240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 114403445242193 and 114403445242202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1160699962 + ... + 1160798521.

It is an arithmetic number, because the mean of its divisors is an integer number (2663919510390).

Almost surely, 2114403445242240 is an apocalyptic number.

114403445242240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114403445242240 is an abundant number, since it is smaller than the sum of its proper divisors (226578252087680).

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

114403445242240 is a wasteful number, since it uses less digits than its factorization.

114403445242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321498520 (or 2321498508 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 40.

Adding to 114403445242240 its reverse (42242544304411), we get a palindrome (156645989546651).

The spelling of 114403445242240 in words is "one hundred fourteen trillion, four hundred three billion, four hundred forty-five million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1540 1760 2240 2464 3080 3520 4480 4928 6160 7040 9856 12320 24640 49280 2321498483 4642996966 9285993932 11607492415 16250489381 18571987864 23214984830 25536483313 32500978762 37143975728 46429969660 51072966626 65001957524 74287951456 81252446905 92859939320 102145933252 127682416565 130003915048 148575902912 162504893810 178755383191 185719878640 204291866504 255364833130 260007830096 297151805824 325009787620 357510766382 371439757280 408583733008 510729666260 520015660192 650019575240 715021532764 742879514560 817167466016 893776915955 1021459332520 1040031320384 1300039150480 1430043065528 1485759029120 1634334932032 1787553831910 2042918665040 2080062640768 2600078300960 2860086131056 3268669864064 3575107663820 4085837330080 5200156601920 5720172262112 7150215327640 8171674660160 10400313203840 11440344524224 14300430655280 16343349320320 22880689048448 28600861310560 57201722621120 114403445242240