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4415130342 = 234717532221
BaseRepresentation
bin1000001110010100…
…11000101011100110
3102101200211212020000
410013022120223212
533020233132332
62010035322130
7214260663060
oct40712305346
912350755200
104415130342
111966253857
12a32750346
1355492ca7c
142dc536730
151ac926b7c
hex107298ae6

4415130342 has 80 divisors (see below), whose sum is σ = 11318014752. Its totient is φ = 1260178560.

The previous prime is 4415130341. The next prime is 4415130353. The reversal of 4415130342 is 2430315144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415130341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1986792 + ... + 1989012.

Almost surely, 24415130342 is an apocalyptic number.

4415130342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4415130342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659007376).

4415130342 is an abundant number, since it is smaller than the sum of its proper divisors (6902884410).

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

4415130342 is a wasteful number, since it uses less digits than its factorization.

4415130342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4415130342 is about 66446.4471736450. The cubic root of 4415130342 is about 1640.5186667541.

Adding to 4415130342 its reverse (2430315144), we get a palindrome (6845445486).

The spelling of 4415130342 in words is "four billion, four hundred fifteen million, one hundred thirty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1753 2221 3506 4442 5259 6663 10518 12271 13326 15547 15777 19989 24542 31094 31554 36813 39978 46641 47331 59967 73626 93282 94662 110439 119934 139923 141993 179901 220878 279846 283986 331317 359802 419769 662634 839538 993951 1259307 1987902 2518614 3893413 7786826 11680239 23360478 27253891 35040717 54507782 70081434 81761673 105122151 163523346 210244302 245285019 315366453 490570038 630732906 735855057 1471710114 2207565171 4415130342