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4130300412 = 22327103227701
BaseRepresentation
bin1111011000101111…
…0110000111111100
3101122211220000000100
43312023312013330
531424324103122
61521502401100
7204231655110
oct36613660774
911584800010
104130300412
11182a4a0917
12973290190
1350a913b54
142b2791740
15192912aac
hexf62f61fc

4130300412 has 144 divisors (see below), whose sum is σ = 12118159872. Its totient is φ = 1161820800.

The previous prime is 4130300411. The next prime is 4130300429. The reversal of 4130300412 is 2140030314.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130300411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5891662 + ... + 5892362.

It is an arithmetic number, because the mean of its divisors is an integer number (84153888).

Almost surely, 24130300412 is an apocalyptic number.

4130300412 is a gapful number since it is divisible by the number (42) 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 4130300412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059079936).

4130300412 is an abundant number, since it is smaller than the sum of its proper divisors (7987859460).

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

4130300412 is a wasteful number, since it uses less digits than its factorization.

4130300412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1043 counting only the distinct ones).

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

The square root of 4130300412 is about 64267.4132978759. The cubic root of 4130300412 is about 1604.4537903206.

Adding to 4130300412 its reverse (2140030314), we get a palindrome (6270330726).

The spelling of 4130300412 in words is "four billion, one hundred thirty million, three hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 227 252 309 412 454 618 681 701 721 908 927 1236 1362 1402 1442 1589 1854 2043 2103 2163 2724 2804 2884 3178 3708 4086 4206 4326 4767 4907 6309 6356 6489 8172 8412 8652 9534 9814 12618 12978 14301 14721 19068 19628 23381 25236 25956 28602 29442 44163 46762 57204 58884 70143 72203 88326 93524 140286 144406 159127 163667 176652 210429 216609 280572 288812 318254 327334 420858 433218 477381 491001 505421 636508 649827 654668 841716 866436 954762 982002 1010842 1113889 1299654 1432143 1473003 1516263 1909524 1964004 2021684 2227778 2599308 2864286 2946006 3032526 3341667 4455556 4548789 5728572 5892012 6065052 6683334 9097578 10025001 13366668 16390081 18195156 20050002 32780162 40100004 49170243 65560324 98340486 114730567 147510729 196680972 229461134 295021458 344191701 458922268 590042916 688383402 1032575103 1376766804 2065150206 4130300412