Search a number
-
+
423200473984 = 2723243145349
BaseRepresentation
bin1100010100010001011…
…01101100001110000000
31111110100120100120012001
412022020231230032000
523413203310131414
6522225434513344
742401205450601
oct6121055541600
91443316316161
10423200473984
111535296a8942
126a028b95854
1330ba50bc462
14166a9557da8
15b01d608074
hex6288b6c380

423200473984 has 96 divisors (see below), whose sum is σ = 901847331000. Its totient is φ = 197691884544.

The previous prime is 423200473981. The next prime is 423200473999. The reversal of 423200473984 is 489374002324.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423200473981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2838942 + ... + 2984290.

Almost surely, 2423200473984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423200473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450923665500).

423200473984 is an abundant number, since it is smaller than the sum of its proper divisors (478646857016).

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

423200473984 is a wasteful number, since it uses less digits than its factorization.

423200473984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145452 (or 145417 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 423200473984 in words is "four hundred twenty-three billion, two hundred million, four hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 128 172 184 344 368 529 688 736 989 1058 1376 1472 1978 2116 2752 2944 3956 4232 5504 7912 8464 15824 16928 22747 31648 33856 45494 63296 67712 90988 126592 145349 181976 290698 363952 581396 727904 1162792 1455808 2325584 2911616 3343027 4651168 6250007 6686054 9302336 12500014 13372108 18604672 25000028 26744216 50000056 53488432 76889621 100000112 106976864 143750161 153779242 200000224 213953728 287500322 307558484 400000448 427907456 575000644 615116968 800000896 1150001288 1230233936 2300002576 2460467872 3306253703 4600005152 4920935744 6612507406 9200010304 9841871488 13225014812 18400020608 26450029624 52900059248 105800118496 211600236992 423200473984