Search a number
-
+
10441233003400 = 2352128461406397
BaseRepresentation
bin1001011111110000100111…
…1110111111001110001000
31100222011122110222020000021
42113330021332333032020
52332032121122102100
634112345231350224
72125232326112233
oct227741176771610
940864573866007
1010441233003400
113366113912131
1212076b7982374
135a97b1127614
1428150354041a
151319016cca1a
hex97f09fbf388

10441233003400 has 48 divisors (see below), whose sum is σ = 24276115442340. Its totient is φ = 4176450412800.

The previous prime is 10441233003391. The next prime is 10441233003463. The reversal of 10441233003400 is 430033214401.

It can be written as a sum of positive squares in 6 ways, for example, as 1699784922564 + 8741448080836 = 1303758^2 + 2956594^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25489002 + ... + 25895398.

Almost surely, 210441233003400 is an apocalyptic number.

10441233003400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441233003400 is an abundant number, since it is smaller than the sum of its proper divisors (13834882438940).

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

10441233003400 is a wasteful number, since it uses less digits than its factorization.

10441233003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534874 (or 534865 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10441233003400 its reverse (430033214401), we get a palindrome (10871266217801).

The spelling of 10441233003400 in words is "ten trillion, four hundred forty-one billion, two hundred thirty-three million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 128461 256922 406397 513844 642305 812794 1027688 1284610 1625588 2031985 2569220 3211525 3251176 4063970 5138440 6423050 8127940 10159925 12846100 16255880 20319850 25692200 40639700 81279400 52206165017 104412330034 208824660068 261030825085 417649320136 522061650170 1044123300340 1305154125425 2088246600680 2610308250850 5220616501700 10441233003400