Search a number
-
+
1410203014000 = 245311591086443
BaseRepresentation
bin10100100001010110101…
…001100101001101110000
311222210222110202121110021
4110201112221211031300
5141101043432422000
62555501024413224
7203612100561364
oct24412651451560
94883873677407
101410203014000
114a4077923770
121a9382177214
13a2c9b695471
144c37b6d72a4
1526a38c7011a
hex14856a65370

1410203014000 has 160 divisors (see below), whose sum is σ = 3782911092480. Its totient is φ = 504109088000.

The previous prime is 1410203013953. The next prime is 1410203014037. The reversal of 1410203014000 is 4103020141.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 754779 + ... + 1841221.

It is an arithmetic number, because the mean of its divisors is an integer number (23643194328).

Almost surely, 21410203014000 is an apocalyptic number.

1410203014000 is a gapful number since it is divisible by the number (10) 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 1410203014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891455546240).

1410203014000 is an abundant number, since it is smaller than the sum of its proper divisors (2372708078480).

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

1410203014000 is a wasteful number, since it uses less digits than its factorization.

1410203014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086536 (or 1086520 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1410203014000 its reverse (4103020141), we get a palindrome (1414306034141).

The spelling of 1410203014000 in words is "one trillion, four hundred ten billion, two hundred three million, fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 59 80 88 100 110 118 125 176 200 220 236 250 275 295 400 440 472 500 550 590 649 880 944 1000 1100 1180 1298 1375 1475 2000 2200 2360 2596 2750 2950 3245 4400 4720 5192 5500 5900 6490 7375 10384 11000 11800 12980 14750 16225 22000 23600 25960 29500 32450 51920 59000 64900 81125 118000 129800 162250 259600 324500 649000 1086443 1298000 2172886 4345772 5432215 8691544 10864430 11950873 17383088 21728860 23901746 27161075 43457720 47803492 54322150 59754365 64100137 86915440 95606984 108644300 119508730 128200274 135805375 191213968 217288600 239017460 256400548 271610750 298771825 320500685 434577200 478034920 512801096 543221500 597543650 641001370 705101507 956069840 1025602192 1086443000 1195087300 1282002740 1410203014 1493859125 1602503425 2172886000 2390174600 2564005480 2820406028 2987718250 3205006850 3525507535 4780349200 5128010960 5640812056 5975436500 6410013700 7051015070 8012517125 11281624112 11950873000 12820027400 14102030140 16025034250 17627537675 23901746000 25640054800 28204060280 32050068500 35255075350 56408120560 64100137000 70510150700 88137688375 128200274000 141020301400 176275376750 282040602800 352550753500 705101507000 1410203014000