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411504343140 = 2235112232464393
BaseRepresentation
bin1011111110011111001…
…00011111100001100100
31110100011110000112221210
411333033210133201210
523220230102440030
6513013102111420
741505314130012
oct5771744374144
91410143015853
10411504343140
11149577523700
1267903b7b570
132ca5cbab887
1415cba0398b2
15aa868acbb0
hex5fcf91f864

411504343140 has 144 divisors (see below), whose sum is σ = 1321546068864. Its totient is φ = 95421258240.

The previous prime is 411504343109. The next prime is 411504343147. The reversal of 411504343140 is 41343405114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 411504343098 and 411504343107.

It is not an unprimeable number, because it can be changed into a prime (411504343147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1065217 + ... + 1399176.

It is an arithmetic number, because the mean of its divisors is an integer number (9177403256).

Almost surely, 2411504343140 is an apocalyptic number.

It is an amenable number.

411504343140 is an abundant number, since it is smaller than the sum of its proper divisors (910041725724).

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

411504343140 is a wasteful number, since it uses less digits than its factorization.

411504343140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464450 (or 2464437 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 411504343140 its reverse (41343405114), we get a palindrome (452847748254).

The spelling of 411504343140 in words is "four hundred eleven billion, five hundred four million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 121 132 138 165 220 230 242 253 276 330 345 363 460 484 506 605 660 690 726 759 1012 1210 1265 1380 1452 1518 1815 2420 2530 2783 3036 3630 3795 5060 5566 7260 7590 8349 11132 13915 15180 16698 27830 33396 41745 55660 83490 166980 2464393 4928786 7393179 9857572 12321965 14786358 24643930 27108323 29572716 36965895 49287860 54216646 56681039 73931790 81324969 108433292 113362078 135541615 147863580 162649938 170043117 226724156 271083230 283405195 298191553 325299876 340086234 406624845 542166460 566810390 596383106 623491429 680172468 813249690 850215585 894574659 1133620780 1192766212 1246982858 1490957765 1626499380 1700431170 1789149318 1870474287 2493965716 2981915530 3117457145 3400862340 3578298636 3740948574 4472873295 5963831060 6234914290 6858405719 7481897148 8945746590 9352371435 12469828580 13716811438 17891493180 18704742870 20575217157 27433622876 34292028595 37409485740 41150434314 68584057190 82300868628 102876085785 137168114380 205752171570 411504343140