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23433040000 = 2754499587
BaseRepresentation
bin10101110100101101…
…111101000010000000
32020111002101202210101
4111310231331002000
5340442324240000
614433123212144
71456456360606
oct256455750200
966432352711
1023433040000
119a35381867
12465b817054
1322959cb356
1411c4213876
1592234ce6a
hex574b7d080

23433040000 has 160 divisors (see below), whose sum is σ = 58551570000. Its totient is φ = 9338496000.

The previous prime is 23433039983. The next prime is 23433040009. The reversal of 23433040000 is 4033432.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 23433040000.

It is not an unprimeable number, because it can be changed into a prime (23433040009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39919707 + ... + 39920293.

Almost surely, 223433040000 is an apocalyptic number.

23433040000 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 23433040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29275785000).

23433040000 is an abundant number, since it is smaller than the sum of its proper divisors (35118530000).

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

23433040000 is an frugal number, since it uses more digits than its factorization.

23433040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 23433040000 its reverse (4033432), we get a palindrome (23437073432).

The spelling of 23433040000 in words is "twenty-three billion, four hundred thirty-three million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 499 500 587 625 640 800 998 1000 1174 1250 1600 1996 2000 2348 2495 2500 2935 3200 3992 4000 4696 4990 5000 5870 7984 8000 9392 9980 10000 11740 12475 14675 15968 16000 18784 19960 20000 23480 24950 29350 31936 37568 39920 40000 46960 49900 58700 62375 63872 73375 75136 79840 80000 93920 99800 117400 124750 146750 159680 187840 199600 234800 249500 292913 293500 311875 319360 366875 375680 399200 469600 499000 585826 587000 623750 733750 798400 939200 998000 1171652 1174000 1247500 1464565 1467500 1596800 1878400 1996000 2343304 2348000 2495000 2929130 2935000 3992000 4686608 4696000 4990000 5858260 5870000 7322825 7984000 9373216 9392000 9980000 11716520 11740000 14645650 18746432 19960000 23433040 23480000 29291300 36614125 37492864 39920000 46866080 46960000 58582600 73228250 93732160 117165200 146456500 183070625 187464320 234330400 292913000 366141250 468660800 585826000 732282500 937321600 1171652000 1464565000 2343304000 2929130000 4686608000 5858260000 11716520000 23433040000