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243142301400 = 233521567258607
BaseRepresentation
bin1110001001110001101…
…0010001011011011000
3212020121000010200011020
43202130122101123120
512440423412121100
6303410435202440
723365202314245
oct3423432213330
9766530120136
10243142301400
1194130543849
123b157a46420
1319c0b3ba97b
14baa7b385cc
1564d0c5d5a0
hex389c6916d8

243142301400 has 96 divisors (see below), whose sum is σ = 754225059840. Its totient is φ = 64796319360.

The previous prime is 243142301393. The next prime is 243142301401. The reversal of 243142301400 is 4103241342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243142301401) 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, 810897 + ... + 1069503.

It is an arithmetic number, because the mean of its divisors is an integer number (7856511040).

Almost surely, 2243142301400 is an apocalyptic number.

243142301400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243142301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377112529920).

243142301400 is an abundant number, since it is smaller than the sum of its proper divisors (511082758440).

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

243142301400 is a wasteful number, since it uses less digits than its factorization.

243142301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260193 (or 260184 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 243142301400 its reverse (4103241342), we get a palindrome (247245542742).

The spelling of 243142301400 in words is "two hundred forty-three billion, one hundred forty-two million, three hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1567 3134 4701 6268 7835 9402 12536 15670 18804 23505 31340 37608 39175 47010 62680 78350 94020 117525 156700 188040 235050 258607 313400 470100 517214 775821 940200 1034428 1293035 1551642 2068856 2586070 3103284 3879105 5172140 6206568 6465175 7758210 10344280 12930350 15516420 19395525 25860700 31032840 38791050 51721400 77582100 155164200 405237169 810474338 1215711507 1620948676 2026185845 2431423014 3241897352 4052371690 4862846028 6078557535 8104743380 9725692056 10130929225 12157115070 16209486760 20261858450 24314230140 30392787675 40523716900 48628460280 60785575350 81047433800 121571150700 243142301400