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432013004011120 = 245723263127533773
BaseRepresentation
bin110001000111010011101110…
…1101001000111011001110000
32002122122001002001010221021111
41202032213131221013121300
5423111100113011323440
64130452011220203104
7156665623654161520
oct14216473551073160
92078561061127244
10432013004011120
1111571a760232564
1240553020b39494
13157098613989ac
147897780575680
1534e29b287a4ea
hex188e9dda47670

432013004011120 has 160 divisors (see below), whose sum is σ = 1202384340191232. Its totient is φ = 141140095067136.

The previous prime is 432013004011109. The next prime is 432013004011123. The reversal of 432013004011120 is 21110400310234.

It is a junction number, because it is equal to n+sod(n) for n = 432013004011091 and 432013004011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432013004011123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60379447 + ... + 67154326.

Almost surely, 2432013004011120 is an apocalyptic number.

432013004011120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432013004011120 is an abundant number, since it is smaller than the sum of its proper divisors (770371336180112).

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

432013004011120 is a wasteful number, since it uses less digits than its factorization.

432013004011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127534079 (or 127534073 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 432013004011120 its reverse (21110400310234), we get a palindrome (453123404321354).

The spelling of 432013004011120 in words is "four hundred thirty-two trillion, thirteen billion, four million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 263 280 322 368 460 526 560 644 805 920 1052 1288 1315 1610 1840 1841 2104 2576 2630 3220 3682 4208 5260 6049 6440 7364 9205 10520 12098 12880 14728 18410 21040 24196 29456 30245 36820 42343 48392 60490 73640 84686 96784 120980 147280 169372 211715 241960 338744 423430 483920 677488 846860 1693720 3387440 127533773 255067546 510135092 637668865 892736411 1020270184 1275337730 1785472822 2040540368 2550675460 2933276779 3570945644 4463682055 5101350920 5866553558 7141891288 8927364110 10202701840 11733107116 14283782576 14666383895 17854728220 20532937453 23466214232 29332767790 33541382299 35709456440 41065874906 46932428464 58665535580 67082764598 71418912880 82131749812 102664687265 117331071160 134165529196 164263499624 167706911495 205329374530 234662142320 234789676093 268331058392 328526999248 335413822990 410658749060 469579352186 536662116784 670827645980 771451792877 821317498120 939158704372 1173948380465 1341655291960 1542903585754 1642634996240 1878317408744 2347896760930 2683310583920 3085807171508 3756634817488 3857258964385 4695793521860 5400162550139 6171614343016 7714517928770 9391587043720 10800325100278 12343228686032 15429035857540 18783174087440 21600650200556 27000812750695 30858071715080 43201300401112 54001625501390 61716143430160 86402600802224 108003251002780 216006502005560 432013004011120