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411430142000 = 24531919795471
BaseRepresentation
bin1011111110010110010…
…01011100000000110000
31110022222021101202010102
411333023021130000300
523220102104021000
6513001451451532
741503423335113
oct5771311340060
91408867352112
10411430142000
11149539653249
12678a3156ba8
132ca4a6cba87
1415cb024257a
15aa801023d5
hex5fcb25c030

411430142000 has 160 divisors (see below), whose sum is σ = 1047918643200. Its totient is φ = 155803104000.

The previous prime is 411430141933. The next prime is 411430142027. The reversal of 411430142000 is 241034114.

It is a super-2 number, since 2×4114301420002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75199265 + ... + 75204735.

It is an arithmetic number, because the mean of its divisors is an integer number (6549491520).

Almost surely, 2411430142000 is an apocalyptic number.

411430142000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411430142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523959321600).

411430142000 is an abundant number, since it is smaller than the sum of its proper divisors (636488501200).

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

411430142000 is a wasteful number, since it uses less digits than its factorization.

411430142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7492 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 411430142000 its reverse (241034114), we get a palindrome (411671176114).

The spelling of 411430142000 in words is "four hundred eleven billion, four hundred thirty million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 1979 2000 2375 3800 3958 4750 5471 7600 7916 9500 9895 10942 15832 19000 19790 21884 27355 31664 37601 38000 39580 43768 49475 54710 75202 79160 87536 98950 103949 109420 136775 150404 158320 188005 197900 207898 218840 247375 273550 300808 376010 395800 415796 437680 494750 519745 547100 601616 683875 752020 791600 831592 940025 989500 1039490 1094200 1367750 1504040 1663184 1880050 1979000 2078980 2188400 2598725 2735500 3008080 3760100 3958000 4157960 4700125 5197450 5471000 7520200 8315920 9400250 10394900 10827109 10942000 12993625 15040400 18800500 20789800 21654218 25987250 37601000 41579600 43308436 51974500 54135545 75202000 86616872 103949000 108271090 173233744 205715071 207898000 216542180 270677725 411430142 433084360 541355450 822860284 866168720 1028575355 1082710900 1353388625 1645720568 2057150710 2165421800 2706777250 3291441136 4114301420 4330843600 5142876775 5413554500 8228602840 10285753550 10827109000 16457205680 20571507100 21654218000 25714383875 41143014200 51428767750 82286028400 102857535500 205715071000 411430142000