Search a number
-
+
1140242030144 = 2676913683333
BaseRepresentation
bin10000100101111011101…
…110001001111001000000
311001000011102112201011122
4100211323232021321000
5122140203424431034
62231453035531412
7145244155224410
oct20457356117100
94030142481148
101140242030144
113aa634999948
12164ba08b9b68
13836a803c729
143d28bc78640
151e9d884562e
hex1097bb89e40

1140242030144 has 56 divisors (see below), whose sum is σ = 2589649002048. Its totient is φ = 487967823360.

The previous prime is 1140242030141. The next prime is 1140242030159. The reversal of 1140242030144 is 4410302420411.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (1140242030141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1532099 + ... + 2151234.

Almost surely, 21140242030144 is an apocalyptic number.

1140242030144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1140242030144 is an abundant number, since it is smaller than the sum of its proper divisors (1449406971904).

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

1140242030144 is an equidigital number, since it uses as much as digits as its factorization.

1140242030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684043 (or 3684033 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1140242030144 its reverse (4410302420411), we get a palindrome (5550544450555).

The spelling of 1140242030144 in words is "one trillion, one hundred forty billion, two hundred forty-two million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 691 1382 2764 4837 5528 9674 11056 19348 22112 38696 44224 77392 154784 309568 3683333 7366666 14733332 25783331 29466664 51566662 58933328 103133324 117866656 206266648 235733312 412533296 825066592 1650133184 2545183103 5090366206 10180732412 17816281721 20361464824 35632563442 40722929648 71265126884 81445859296 142530253768 162891718592 285060507536 570121015072 1140242030144