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431444112314130 = 233583118373162641
BaseRepresentation
bin110001000011001010110100…
…1000011100000111100010010
32002120121122200000001102002000
41202012111221003200330102
5423022240020223023010
64125334404452534430
7156606544206426456
oct14206255103407422
92076548600042060
10431444112314130
111155204697494a3
1240480914321416
131569800b600596
1478780139da666
1534d2cb8aac7c0
hex18865690e0f12

431444112314130 has 128 divisors (see below), whose sum is σ = 1164396286851840. Its totient is φ = 113663938360320.

The previous prime is 431444112314129. The next prime is 431444112314197. The reversal of 431444112314130 is 31413211444134.

431444112314130 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 4 + 4 + 1 + 1 + 231 + 413 + 0 = 666.

It is a super-2 number, since 2×4314441123141302 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2652657610 + ... + 2652820250.

It is an arithmetic number, because the mean of its divisors is an integer number (9096845991030).

Almost surely, 2431444112314130 is an apocalyptic number.

431444112314130 is an abundant number, since it is smaller than the sum of its proper divisors (732952174537710).

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

431444112314130 is a wasteful number, since it uses less digits than its factorization.

431444112314130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281113 (or 281107 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 431444112314130 its reverse (31413211444134), we get a palindrome (462857323758264).

The spelling of 431444112314130 in words is "four hundred thirty-one trillion, four hundred forty-four billion, one hundred twelve million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 270 415 498 747 830 1245 1494 2241 2490 3735 4482 7470 11205 22410 118373 162641 236746 325282 355119 487923 591865 710238 813205 975846 1065357 1183730 1463769 1626410 1775595 2130714 2439615 2927538 3196071 3551190 4391307 4879230 5326785 6392142 7318845 8782614 9824959 10653570 13499203 14637690 15980355 19649918 21956535 26998406 29474877 31960710 40497609 43913070 49124795 58949754 67496015 80995218 88424631 98249590 121492827 134992030 147374385 176849262 202488045 242985654 265273893 294748770 364478481 404976090 442123155 530547786 607464135 728956962 884246310 1214928270 1326369465 1822392405 2652738930 3644784810 19252303093 38504606186 57756909279 96261515465 115513818558 173270727837 192523030930 288784546395 346541455674 519812183511 577569092790 866353639185 1039624367022 1597941156719 1732707278370 2599060917555 3195882313438 4793823470157 5198121835110 7989705783595 9587646940314 14381470410471 15979411567190 23969117350785 28762940820942 43144411231413 47938234701570 71907352052355 86288822462826 143814704104710 215722056157065 431444112314130