Search a number
-
+
23301033441440 = 2551181123311989
BaseRepresentation
bin1010100110001001100011…
…10100100011100010100000
310001111120001002021001222212
411103010301310203202200
511023231004030111230
6121320202541021252
74623305221223216
oct523046164434240
9101446032231885
1023301033441440
117473a04a14947
122743a90b54828
13100037ca8ac41
145a7ac162acb6
152a61a7873895
hex153131d238a0

23301033441440 has 48 divisors (see below), whose sum is σ = 55095303884040. Its totient is φ = 9312521333760.

The previous prime is 23301033441383. The next prime is 23301033441461. The reversal of 23301033441440 is 4414433010332.

It can be written as a sum of positive squares in 4 ways, for example, as 16776462344464 + 6524571096976 = 4095908^2 + 2554324^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 23301033441397 and 23301033441406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61467035 + ... + 61844954.

Almost surely, 223301033441440 is an apocalyptic number.

23301033441440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23301033441440 is an abundant number, since it is smaller than the sum of its proper divisors (31794270442600).

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

23301033441440 is a wasteful number, since it uses less digits than its factorization.

23301033441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123313185 (or 123313177 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 23301033441440 its reverse (4414433010332), we get a palindrome (27715466451772).

The spelling of 23301033441440 in words is "twenty-three trillion, three hundred one billion, thirty-three million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1181 2362 4724 5905 9448 11810 18896 23620 37792 47240 94480 188960 123311989 246623978 493247956 616559945 986495912 1233119890 1972991824 2466239780 3945983648 4932479560 9864959120 19729918240 145631459009 291262918018 582525836036 728157295045 1165051672072 1456314590090 2330103344144 2912629180180 4660206688288 5825258360360 11650516720720 23301033441440