Search a number
-
+
2424011211144 = 233252103646159
BaseRepresentation
bin100011010001100010010…
…100111100000110001000
322120201210111202010110100
4203101202110330012020
5304203333332224034
65053324140445400
7340062154222065
oct43214224740610
98521714663410
102424011211144
11855021153536
12331958549860
131477775c5953
1485473969c6c
15430c287e099
hex2346253c188

2424011211144 has 48 divisors (see below), whose sum is σ = 6565166524800. Its totient is φ = 807986978784.

The previous prime is 2424011211077. The next prime is 2424011211157. The reversal of 2424011211144 is 4411121104242.

2424011211144 is a `hidden beast` number, since 2 + 4 + 2 + 401 + 1 + 211 + 1 + 44 = 666.

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, 3428337 + ... + 4074495.

It is an arithmetic number, because the mean of its divisors is an integer number (136774302600).

Almost surely, 22424011211144 is an apocalyptic number.

2424011211144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2424011211144 is an abundant number, since it is smaller than the sum of its proper divisors (4141155313656).

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

2424011211144 is a wasteful number, since it uses less digits than its factorization.

2424011211144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698274 (or 698267 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 2424011211144 its reverse (4411121104242), we get a palindrome (6835132315386).

The spelling of 2424011211144 in words is "two trillion, four hundred twenty-four billion, eleven million, two hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 52103 104206 156309 208412 312618 416824 468927 625236 646159 937854 1250472 1292318 1875708 1938477 2584636 3751416 3876954 5169272 5815431 7753908 11630862 15507816 23261724 46523448 33666822377 67333644754 101000467131 134667289508 202000934262 269334579016 303001401393 404001868524 606002802786 808003737048 1212005605572 2424011211144