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23141334000 = 243535965371
BaseRepresentation
bin10101100011010101…
…001011101111110000
32012201202111120101110
4111203111023233300
5334343140142000
614344143033320
71446315044031
oct254325135760
965652446343
1023141334000
1198a5752824
124599b9b840
13224a445755
14119759ca88
1590692b850
hex56354bbf0

23141334000 has 160 divisors (see below), whose sum is σ = 75873358080. Its totient is φ = 6066336000.

The previous prime is 23141333989. The next prime is 23141334049. The reversal of 23141334000 is 43314132.

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 31 ways as a sum of consecutive naturals, for example, 321315 + ... + 386685.

It is an arithmetic number, because the mean of its divisors is an integer number (474208488).

Almost surely, 223141334000 is an apocalyptic number.

23141334000 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 23141334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37936679040).

23141334000 is an abundant number, since it is smaller than the sum of its proper divisors (52732024080).

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

23141334000 is a wasteful number, since it uses less digits than its factorization.

23141334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65456 (or 65440 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23141334000 its reverse (43314132), we get a palindrome (23184648132).

The spelling of 23141334000 in words is "twenty-three billion, one hundred forty-one million, three hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 59 60 75 80 100 118 120 125 150 177 200 236 240 250 295 300 354 375 400 472 500 590 600 708 750 885 944 1000 1180 1200 1416 1475 1500 1770 2000 2360 2832 2950 3000 3540 4425 4720 5900 6000 7080 7375 8850 11800 14160 14750 17700 22125 23600 29500 35400 44250 59000 65371 70800 88500 118000 130742 177000 196113 261484 326855 354000 392226 522968 653710 784452 980565 1045936 1307420 1568904 1634275 1961130 2614840 3137808 3268550 3856889 3922260 4902825 5229680 6537100 7713778 7844520 8171375 9805650 11570667 13074200 15427556 15689040 16342750 19284445 19611300 23141334 24514125 26148400 30855112 32685500 38568890 39222600 46282668 49028250 57853335 61710224 65371000 77137780 78445200 92565336 96422225 98056500 115706670 130742000 154275560 185130672 192844450 196113000 231413340 289266675 308551120 385688900 392226000 462826680 482111125 578533350 771377800 925653360 964222250 1157066700 1446333375 1542755600 1928444500 2314133400 2892666750 3856889000 4628266800 5785333500 7713778000 11570667000 23141334000