Search a number
-
+
1023043014 = 233743113557
BaseRepresentation
bin111100111110100…
…110010111000110
32122022000222012000
4330332212113012
54043344334024
6245303210130
734231502460
oct7476462706
92568028160
101023043014
114855323a4
12246746946
13133c476c6
1499c29130
155ec33cc9
hex3cfa65c6

1023043014 has 128 divisors (see below), whose sum is σ = 2686970880. Its totient is φ = 282465792.

The previous prime is 1023043009. The next prime is 1023043037. The reversal of 1023043014 is 4103403201.

1023043014 is a `hidden beast` number, since 1 + 0 + 230 + 430 + 1 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1836424 + ... + 1836980.

It is an arithmetic number, because the mean of its divisors is an integer number (20991960).

Almost surely, 21023043014 is an apocalyptic number.

1023043014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023043014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343485440).

1023043014 is an abundant number, since it is smaller than the sum of its proper divisors (1663927866).

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

1023043014 is a wasteful number, since it uses less digits than its factorization.

1023043014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1023043014 is about 31985.0435985321. The cubic root of 1023043014 is about 1007.6227506952.

Adding to 1023043014 its reverse (4103403201), we get a palindrome (5126446215).

The spelling of 1023043014 in words is "one billion, twenty-three million, forty-three thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 113 126 129 189 226 258 301 339 378 387 557 602 678 774 791 903 1017 1114 1161 1582 1671 1806 2034 2322 2373 2709 3051 3342 3899 4746 4859 5013 5418 6102 7119 7798 8127 9718 10026 11697 14238 14577 15039 16254 21357 23394 23951 29154 30078 34013 35091 42714 43731 47902 62941 68026 70182 71853 87462 102039 105273 125882 131193 143706 167657 188823 204078 210546 215559 262386 306117 335314 377646 431118 440587 502971 566469 612234 646677 881174 918351 1005942 1132938 1293354 1321761 1508913 1699407 1836702 2643522 2706463 3017826 3398814 3965283 4526739 5412926 7930566 8119389 9053478 11895849 16238778 18945241 23791698 24358167 37890482 48716334 56835723 73074501 113671446 146149002 170507169 341014338 511521507 1023043014