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130031044704 = 25321164164033
BaseRepresentation
bin111100100011001110…
…1000100100001100000
3110102122002100110221200
41321012131010201200
54112300421412304
6135422504321200
712252201433461
oct1710635044140
9412562313850
10130031044704
1150167153510
122124b173200
13c353454192
14641766ad68
1535b0946e39
hex1e46744860

130031044704 has 144 divisors (see below), whose sum is σ = 404027389584. Its totient is φ = 39341260800.

The previous prime is 130031044673. The next prime is 130031044733. The reversal of 130031044704 is 407440130031.

130031044704 is a `hidden beast` number, since 1 + 300 + 310 + 4 + 47 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1998672 + ... + 2062704.

It is an arithmetic number, because the mean of its divisors is an integer number (2805745761).

Almost surely, 2130031044704 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 130031044704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202013694792).

130031044704 is an abundant number, since it is smaller than the sum of its proper divisors (273996344880).

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

130031044704 is a wasteful number, since it uses less digits than its factorization.

130031044704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64701 (or 64690 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 130031044704 its reverse (407440130031), we get a palindrome (537471174735).

The spelling of 130031044704 in words is "one hundred thirty billion, thirty-one million, forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 641 792 1056 1282 1584 1923 2564 3168 3846 5128 5769 7051 7692 10256 11538 14102 15384 20512 21153 23076 28204 30768 42306 46152 56408 61536 63459 64033 84612 92304 112816 126918 128066 169224 184608 192099 225632 253836 256132 338448 384198 507672 512264 576297 676896 704363 768396 1015344 1024528 1152594 1408726 1536792 2030688 2049056 2113089 2305188 2817452 3073584 4226178 4610376 5634904 6147168 6339267 8452356 9220752 11269808 12678534 16904712 18441504 22539616 25357068 33809424 41045153 50714136 67618848 82090306 101428272 123135459 164180612 202856544 246270918 328361224 369406377 451496683 492541836 656722448 738812754 902993366 985083672 1313444896 1354490049 1477625508 1805986732 1970167344 2708980098 2955251016 3611973464 3940334688 4063470147 5417960196 5910502032 7223946928 8126940294 10835920392 11821004064 14447893856 16253880588 21671840784 32507761176 43343681568 65015522352 130031044704