Search a number
-
+
11441230011440 = 245557256760099
BaseRepresentation
bin1010011001111101111001…
…1100110101110000110000
31111111202210222202122021222
42212133132130311300300
52444423114340331230
640200010054004212
72260413226330325
oct246373634656060
944452728678258
1011441230011440
113711220084129
121349478946668
1364cb988b6368
142b7a89408b4c
1514c92ca526e5
hexa67de735c30

11441230011440 has 40 divisors (see below), whose sum is σ = 26648617258800. Its totient is φ = 4568275663616.

The previous prime is 11441230011389. The next prime is 11441230011481. The reversal of 11441230011440 is 4411003214411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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, 128335490 + ... + 128424609.

It is an arithmetic number, because the mean of its divisors is an integer number (666215431470).

Almost surely, 211441230011440 is an apocalyptic number.

11441230011440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11441230011440 is an abundant number, since it is smaller than the sum of its proper divisors (15207387247360).

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

11441230011440 is a wasteful number, since it uses less digits than its factorization.

11441230011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256760669 (or 256760663 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 11441230011440 its reverse (4411003214411), we get a palindrome (15852233225851).

The spelling of 11441230011440 in words is "eleven trillion, four hundred forty-one billion, two hundred thirty million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 557 1114 2228 2785 4456 5570 8912 11140 22280 44560 256760099 513520198 1027040396 1283800495 2054080792 2567600990 4108161584 5135201980 10270403960 20540807920 143015375143 286030750286 572061500572 715076875715 1144123001144 1430153751430 2288246002288 2860307502860 5720615005720 11441230011440