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4034102130 = 234529199863
BaseRepresentation
bin1111000001110011…
…1000001101110010
3101102010212121210000
43300130320031302
531230212232010
61504144450430
7201653205462
oct36034701562
911363777700
104034102130
111790166703
12947019a16
134c3a018a6
142a3aadba2
1518925e7c0
hexf0738372

4034102130 has 160 divisors (see below), whose sum is σ = 11290752000. Its totient is φ = 1032248448.

The previous prime is 4034102113. The next prime is 4034102153. The reversal of 4034102130 is 312014304.

4034102130 is a `hidden beast` number, since 40 + 3 + 410 + 213 + 0 = 666.

4034102130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 4674079 + ... + 4674941.

It is an arithmetic number, because the mean of its divisors is an integer number (70567200).

Almost surely, 24034102130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034102130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645376000).

4034102130 is an abundant number, since it is smaller than the sum of its proper divisors (7256649870).

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

4034102130 is a wasteful number, since it uses less digits than its factorization.

4034102130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1101 counting only the distinct ones).

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

The square root of 4034102130 is about 63514.5820264922. The cubic root of 4034102130 is about 1591.8994387904.

Adding to 4034102130 its reverse (312014304), we get a palindrome (4346116434).

The spelling of 4034102130 in words is "four billion, thirty-four million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 199 261 270 290 398 405 435 522 597 783 810 863 870 995 1194 1305 1566 1726 1791 1990 2349 2589 2610 2985 3582 3915 4315 4698 5178 5373 5771 5970 7767 7830 8630 8955 10746 11542 11745 12945 15534 16119 17313 17910 23301 23490 25027 25890 26865 28855 32238 34626 38835 46602 50054 51939 53730 57710 69903 75081 77670 80595 86565 103878 116505 125135 139806 150162 155817 161190 171737 173130 225243 233010 250270 259695 311634 343474 349515 375405 450486 467451 515211 519390 675729 699030 750810 779085 858685 934902 1030422 1126215 1351458 1545633 1558170 1717370 2027187 2252430 2337255 2576055 3091266 3378645 4054374 4636899 4674510 4980373 5152110 6757290 7728165 9273798 9960746 10135935 13910697 14941119 15456330 20271870 23184495 24901865 27821394 29882238 44823357 46368990 49803730 69553485 74705595 89646714 134470071 139106970 149411190 224116785 268940142 403410213 448233570 672350355 806820426 1344700710 2017051065 4034102130