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4130031024 = 243374133311
BaseRepresentation
bin1111011000101011…
…0100010110110000
3101122211101022111000
43312022310112300
531424241443044
61521452522000
7204226453530
oct36612642660
911584338430
104130031024
11182a327489
12973180300
1350a84b352
142b27214c0
151928acd69
hexf62b45b0

4130031024 has 160 divisors (see below), whose sum is σ = 13879111680. Its totient is φ = 1151193600.

The previous prime is 4130031001. The next prime is 4130031043. The reversal of 4130031024 is 4201300314.

4130031024 is digitally balanced in base 2 and base 4, because in such bases 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 a junction number, because it is equal to n+sod(n) for n = 4130030988 and 4130031006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107329 + ... + 140639.

It is an arithmetic number, because the mean of its divisors is an integer number (86744448).

Almost surely, 24130031024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130031024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6939555840).

4130031024 is an abundant number, since it is smaller than the sum of its proper divisors (9749080656).

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

4130031024 is a wasteful number, since it uses less digits than its factorization.

4130031024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33376 (or 33364 counting only the distinct ones).

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

The square root of 4130031024 is about 64265.3174270539. The cubic root of 4130031024 is about 1604.4189074669.

Adding to 4130031024 its reverse (4201300314), we get a palindrome (8331331338).

The spelling of 4130031024 in words is "four billion, one hundred thirty million, thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 82 84 108 112 123 126 144 164 168 189 216 246 252 287 328 336 369 378 432 492 504 574 656 738 756 861 984 1008 1107 1148 1476 1512 1722 1968 2214 2296 2583 2952 3024 3444 4428 4592 5166 5904 6888 7749 8856 10332 13776 15498 17712 20664 30996 33311 41328 61992 66622 99933 123984 133244 199866 233177 266488 299799 399732 466354 532976 599598 699531 799464 899397 932708 1199196 1365751 1399062 1598928 1798794 1865416 2098593 2398392 2731502 2798124 3597588 3730832 4097253 4197186 4796784 5463004 5596248 6295779 7195176 8194506 8394372 9560257 10926008 11192496 12291759 12591558 14390352 16389012 16788744 19120514 21852016 24583518 25183116 28680771 32778024 33577488 36875277 38241028 49167036 50366232 57361542 65556048 73750554 76482056 86042313 98334072 100732464 114723084 147501108 152964112 172084626 196668144 229446168 258126939 295002216 344169252 458892336 516253878 590004432 688338504 1032507756 1376677008 2065015512 4130031024