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3003114042 = 231059431
BaseRepresentation
bin1011001011111111…
…1110001000111010
321202021220000000000
42302333332020322
522122244122132
61213555053430
7134264022345
oct26277761072
97667800000
103003114042
1113011a8035
126b98a1276
1338b234a76
14206bb745c
151289ab87c
hexb2ffe23a

3003114042 has 88 divisors (see below), whose sum is σ = 6887436480. Its totient is φ = 981788040.

The previous prime is 3003114031. The next prime is 3003114067. The reversal of 3003114042 is 2404113003.

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

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 6967567 + ... + 6967997.

Almost surely, 23003114042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003114042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443718240).

3003114042 is an abundant number, since it is smaller than the sum of its proper divisors (3884322438).

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

3003114042 is an frugal number, since it uses more digits than its factorization.

3003114042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 495 counting only the distinct ones).

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

The square root of 3003114042 is about 54800.6755615293. The cubic root of 3003114042 is about 1442.7484228237.

Adding to 3003114042 its reverse (2404113003), we get a palindrome (5407227045).

The spelling of 3003114042 in words is "three billion, three million, one hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 243 354 431 486 531 729 862 1062 1293 1458 1593 2187 2586 3186 3879 4374 4779 6561 7758 9558 11637 13122 14337 19683 23274 25429 28674 34911 39366 43011 50858 59049 69822 76287 86022 104733 118098 129033 152574 209466 228861 258066 314199 387099 457722 628398 686583 774198 942597 1161297 1373166 1885194 2059749 2322594 2827791 3483891 4119498 5655582 6179247 6967782 8483373 12358494 16966746 18537741 25450119 37075482 50900238 55613223 111226446 166839669 333679338 500519007 1001038014 1501557021 3003114042