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114152023344000 = 273532378167153
BaseRepresentation
bin11001111101001000010110…
…110011010100001110000000
3112222011211022202222112002110
4121331020112303110032000
5104430231320434002000
61042440414321415320
733021132360603225
oct3175102663241600
9488154282875073
10114152023344000
1133410668271234
121097751579a540
134b906498a7bc5
142028db764594c
15d2e551c21850
hex67d216cd4380

114152023344000 has 128 divisors (see below), whose sum is σ = 378413957544480. Its totient is φ = 30440539545600.

The previous prime is 114152023343977. The next prime is 114152023344031. The reversal of 114152023344000 is 443320251411.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189035577 + ... + 1189131576.

Almost surely, 2114152023344000 is an apocalyptic number.

114152023344000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114152023344000 is an abundant number, since it is smaller than the sum of its proper divisors (264261934200480).

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

114152023344000 is an equidigital number, since it uses as much as digits as its factorization.

114152023344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378167185 (or 2378167163 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 114152023344000 its reverse (443320251411), we get a palindrome (114595343595411).

The spelling of 114152023344000 in words is "one hundred fourteen trillion, one hundred fifty-two billion, twenty-three million, three hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 2378167153 4756334306 7134501459 9512668612 11890835765 14269002918 19025337224 23781671530 28538005836 35672507295 38050674448 47563343060 57076011672 59454178825 71345014590 76101348896 95126686120 114152023344 118908357650 142690029180 152202697792 178362536475 190253372240 228304046688 237816715300 285380058360 297270894125 304405395584 356725072950 380506744480 456608093376 475633430600 570760116720 594541788250 713450145900 761013488960 891812682375 913216186752 951266861200 1141520233440 1189083576500 1426900291800 1522026977920 1783625364750 1902533722400 2283040466880 2378167153000 2853800583600 3567250729500 3805067444800 4566080933760 4756334306000 5707601167200 7134501459000 7610134889600 9512668612000 11415202334400 14269002918000 19025337224000 22830404668800 28538005836000 38050674448000 57076011672000 114152023344000