Search a number
-
+
1124144001204 = 223759257882587
BaseRepresentation
bin10000010110111100001…
…101000011000010110100
310222110121112021002221120
4100112330031003002310
5121404221331014304
62220231415143540
7144134223231420
oct20267415030264
93873545232846
101124144001204
113a3823a894a4
12161a49674bb0
1382010b82c13
143c5a1ca9b80
151e3954390d9
hex105bc3430b4

1124144001204 has 96 divisors (see below), whose sum is σ = 3060391541760. Its totient is φ = 314511286272.

The previous prime is 1124144001199. The next prime is 1124144001241. The reversal of 1124144001204 is 4021004414211.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 832399 + ... + 1714985.

It is an arithmetic number, because the mean of its divisors is an integer number (31879078560).

Almost surely, 21124144001204 is an apocalyptic number.

1124144001204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124144001204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530195770880).

1124144001204 is an abundant number, since it is smaller than the sum of its proper divisors (1936247540556).

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

1124144001204 is a wasteful number, since it uses less digits than its factorization.

1124144001204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882917 (or 882915 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1124144001204 its reverse (4021004414211), we get a palindrome (5145148415415).

The spelling of 1124144001204 in words is "one trillion, one hundred twenty-four billion, one hundred forty-four million, one thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 257 354 413 514 708 771 826 1028 1239 1542 1652 1799 2478 3084 3598 4956 5397 7196 10794 15163 21588 30326 45489 60652 90978 106141 181956 212282 318423 424564 636846 882587 1273692 1765174 2647761 3530348 5295522 6178109 10591044 12356218 18534327 24712436 37068654 52072633 74137308 104145266 156217899 208290532 226824859 312435798 364508431 453649718 624871596 680474577 729016862 907299436 1093525293 1360949154 1458033724 1587774013 2187050586 2721898308 3175548026 4374101172 4763322039 6351096052 9526644078 13382666681 19053288156 26765333362 40148000043 53530666724 80296000086 93678666767 160592000172 187357333534 281036000301 374714667068 562072000602 1124144001204