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4130414332 = 22111931473391
BaseRepresentation
bin1111011000110001…
…0001111011111100
3101122212002210021121
43312030101323330
531424341224312
61521505040324
7204232641202
oct36614217374
911585083247
104130414332
11182a569470
129733260a4
1350a953965
142b27c1072
15192936707
hexf6311efc

4130414332 has 96 divisors (see below), whose sum is σ = 8752988160. Its totient is φ = 1684152000.

The previous prime is 4130414317. The next prime is 4130414339. The reversal of 4130414332 is 2334140314.

It is a junction number, because it is equal to n+sod(n) for n = 4130414297 and 4130414306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130414339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216357 + ... + 1219747.

It is an arithmetic number, because the mean of its divisors is an integer number (91176960).

Almost surely, 24130414332 is an apocalyptic number.

It is an amenable number.

4130414332 is an abundant number, since it is smaller than the sum of its proper divisors (4622573828).

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

4130414332 is a wasteful number, since it uses less digits than its factorization.

4130414332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 4130414332 is about 64268.2995885219. The cubic root of 4130414332 is about 1604.4685412811.

Adding to 4130414332 its reverse (2334140314), we get a palindrome (6464554646).

The spelling of 4130414332 in words is "four billion, one hundred thirty million, four hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 4 11 19 22 31 38 44 47 62 76 94 124 188 209 341 418 517 589 682 836 893 1034 1178 1364 1457 1786 2068 2356 2914 3391 3572 5828 6479 6782 9823 12958 13564 16027 19646 25916 27683 32054 37301 39292 55366 64108 64429 74602 105121 110732 128858 149204 159377 210242 257716 304513 318754 420484 609026 637508 708719 1156331 1218052 1417438 1753147 1997299 2312662 2834876 3028163 3506294 3994598 4625324 4940687 6056326 7012588 7989196 9881374 12112652 19762748 21970289 33309793 43940578 54347557 66619586 87881156 93873053 108695114 133239172 187746106 217390228 375492212 1032603583 2065207166 4130414332