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242433200000 = 2755606083
BaseRepresentation
bin1110000111001000100…
…1010000111110000000
3212011202120211120220102
43201302021100332000
512433000344400000
6303212224501532
723341502125235
oct3416211207600
9764676746812
10242433200000
11938a7248432
123ab9a47a8a8
1319b27512a44
14ba3b8b178c
15648d88e3d5
hex3872250f80

242433200000 has 96 divisors (see below), whose sum is σ = 603677846520. Its totient is φ = 96973120000.

The previous prime is 242433199991. The next prime is 242433200027. The reversal of 242433200000 is 2334242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96959 + ... + 703041.

Almost surely, 2242433200000 is an apocalyptic number.

242433200000 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 242433200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301838923260).

242433200000 is an abundant number, since it is smaller than the sum of its proper divisors (361244646520).

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

242433200000 is an frugal number, since it uses more digits than its factorization.

242433200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606122 (or 606090 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 242433200000 its reverse (2334242), we get a palindrome (242435534242).

The spelling of 242433200000 in words is "two hundred forty-two billion, four hundred thirty-three million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 606083 1212166 2424332 3030415 4848664 6060830 9697328 12121660 15152075 19394656 24243320 30304150 38789312 48486640 60608300 75760375 77578624 96973280 121216600 151520750 193946560 242433200 303041500 378801875 387893120 484866400 606083000 757603750 969732800 1212166000 1515207500 1894009375 1939465600 2424332000 3030415000 3788018750 4848664000 6060830000 7576037500 9697328000 12121660000 15152075000 24243320000 30304150000 48486640000 60608300000 121216600000 242433200000