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242423675575400 = 235211851091294723
BaseRepresentation
bin110111000111101110101001…
…000100010101110001101000
31011210100110212202202010122202
4313013232221010111301220
5223233332141421403100
62215331522112435332
7102030350450013524
oct6707565104256150
91153313782663582
10242423675575400
1170275337987840
12232333ba548b48
13a5365ba755247
1443c152325ad84
151d05ee1e3c7d5
hexdc7ba9115c68

242423675575400 has 96 divisors (see below), whose sum is σ = 614882294791200. Its totient is φ = 88152959980800.

The previous prime is 242423675575397. The next prime is 242423675575409. The reversal of 242423675575400 is 4575576324242.

242423675575400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242423675575409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186592439 + ... + 187887161.

It is an arithmetic number, because the mean of its divisors is an integer number (6405023904075).

Almost surely, 2242423675575400 is an apocalyptic number.

242423675575400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242423675575400 is an abundant number, since it is smaller than the sum of its proper divisors (372458619215800).

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

242423675575400 is a wasteful number, since it uses less digits than its factorization.

242423675575400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379859 (or 1379850 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 56.

The spelling of 242423675575400 in words is "two hundred forty-two trillion, four hundred twenty-three billion, six hundred seventy-five million, five hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 85109 170218 340436 425545 680872 851090 936199 1294723 1702180 1872398 2127725 2589446 3404360 3744796 4255450 4680995 5178892 6473615 7489592 8510900 9361990 10357784 12947230 14241953 17021800 18723980 23404975 25894460 28483906 32368075 37447960 46809950 51788920 56967812 64736150 71209765 93619900 113935624 129472300 142419530 187239800 258944600 284839060 356048825 569678120 712097650 1424195300 2848390600 110192579807 220385159614 440770319228 550962899035 881540638456 1101925798070 1212118377877 2203851596140 2424236755754 2754814495175 4407703192280 4848473511508 5509628990350 6060591889385 9696947023016 11019257980700 12121183778770 22038515961400 24242367557540 30302959446925 48484735115080 60605918893850 121211837787700 242423675575400