Search a number
-
+
11401230024 = 2332374279741
BaseRepresentation
bin10101001111001000…
…01111011011001000
31002102120102111100200
422213210033123020
5141322203330044
65123155532200
7552350566452
oct124744173310
932376374320
1011401230024
114920773958
1222622ba060
1310c90a9a72
147a22b52d2
1546ade7369
hex2a790f6c8

11401230024 has 48 divisors (see below), whose sum is σ = 31712888220. Its totient is φ = 3697695360.

The previous prime is 11401230017. The next prime is 11401230031. The reversal of 11401230024 is 42003210411.

11401230024 is a `hidden beast` number, since 11 + 401 + 230 + 0 + 24 = 666.

11401230024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11401230017) and next prime (11401230031).

It can be written as a sum of positive squares in 2 ways, for example, as 11399832900 + 1397124 = 106770^2 + 1182^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11401229979 and 11401230006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2137207 + ... + 2142534.

Almost surely, 211401230024 is an apocalyptic number.

It is an amenable number.

11401230024 is an abundant number, since it is smaller than the sum of its proper divisors (20311658196).

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

11401230024 is a wasteful number, since it uses less digits than its factorization.

11401230024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279790 (or 4279783 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11401230024 its reverse (42003210411), we get a palindrome (53404440435).

The spelling of 11401230024 in words is "eleven billion, four hundred one million, two hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 4279741 8559482 12839223 17118964 25678446 34237928 38517669 51356892 77035338 102713784 154070676 158350417 308141352 316700834 475051251 633401668 950102502 1266803336 1425153753 1900205004 2850307506 3800410008 5700615012 11401230024