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4032401130 = 234512739199
BaseRepresentation
bin1111000001011001…
…1000111011101010
3101102000200012110000
43300112120323222
531224243314010
61504044203430
7201632562342
oct36026307352
911360605400
104032401130
11178a20471a
12946539576
134c3557594
142a3789d22
151890257c0
hexf0598eea

4032401130 has 80 divisors (see below), whose sum is σ = 10928332800. Its totient is φ = 1066812768.

The previous prime is 4032401129. The next prime is 4032401137. The reversal of 4032401130 is 311042304.

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

It is not an unprimeable number, because it can be changed into a prime (4032401137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83271 + ... + 122469.

It is an arithmetic number, because the mean of its divisors is an integer number (136604160).

Almost surely, 24032401130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032401130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464166400).

4032401130 is an abundant number, since it is smaller than the sum of its proper divisors (6895931670).

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

4032401130 is a wasteful number, since it uses less digits than its factorization.

4032401130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39345 (or 39336 counting only the distinct ones).

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

The square root of 4032401130 is about 63501.1899888498. The cubic root of 4032401130 is about 1591.6756631285.

Adding to 4032401130 its reverse (311042304), we get a palindrome (4343443434).

The spelling of 4032401130 in words is "four billion, thirty-two million, four hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 127 135 162 254 270 381 405 635 762 810 1143 1270 1905 2286 3429 3810 5715 6858 10287 11430 17145 20574 34290 39199 51435 78398 102870 117597 195995 235194 352791 391990 587985 705582 1058373 1175970 1763955 2116746 3175119 3527910 4978273 5291865 6350238 9956546 10583730 14934819 15875595 24891365 29869638 31751190 44804457 49782730 74674095 89608914 134413371 149348190 224022285 268826742 403240113 448044570 672066855 806480226 1344133710 2016200565 4032401130