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140411034000 = 2432537800613
BaseRepresentation
bin1000001011000100100…
…1100101100110010000
3111102102111010120101200
42002301021211212100
54300030211042000
6144300503431200
713100342045106
oct2026111454620
9442374116350
10140411034000
1154603406066
1223267455500
1310318a97993
146b20065c76
1539bbd64500
hex20b1265990

140411034000 has 120 divisors (see below), whose sum is σ = 490409000952. Its totient is φ = 37442937600.

The previous prime is 140411033981. The next prime is 140411034031. The reversal of 140411034000 is 430114041.

It can be written as a sum of positive squares in 4 ways, for example, as 1302921216 + 139108112784 = 36096^2 + 372972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3882307 + ... + 3918306.

Almost surely, 2140411034000 is an apocalyptic number.

140411034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140411034000 is an abundant number, since it is smaller than the sum of its proper divisors (349997966952).

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

140411034000 is a wasteful number, since it uses less digits than its factorization.

140411034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7800642 (or 7800623 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 140411034000 its reverse (430114041), we get a palindrome (140841148041).

The spelling of 140411034000 in words is "one hundred forty billion, four hundred eleven million, thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 7800613 15601226 23401839 31202452 39003065 46803678 62404904 70205517 78006130 93607356 117009195 124809808 140411034 156012260 187214712 195015325 234018390 280822068 312024520 351027585 374429424 390030650 468036780 561644136 585045975 624049040 702055170 780061300 936073560 975076625 1123288272 1170091950 1404110340 1560122600 1755137925 1872147120 1950153250 2340183900 2808220680 2925229875 3120245200 3510275850 3900306500 4680367800 5616441360 5850459750 7020551700 7800613000 8775689625 9360735600 11700919500 14041103400 15601226000 17551379250 23401839000 28082206800 35102758500 46803678000 70205517000 140411034000