Search a number
-
+
1420404134000 = 24535341931981
BaseRepresentation
bin10100101010110110101…
…011110001000001110000
312000210022101222012100112
4110222312223301001300
5141232441424242000
63004305154040452
7204422636634125
oct24526653610160
95023271865315
101420404134000
114a8432116155
121ab34a579128
13a3c35c3c947
144ca6845074c
1526e34609235
hex14ab6af1070

1420404134000 has 160 divisors (see below), whose sum is σ = 3507801111360. Its totient is φ = 556093824000.

The previous prime is 1420404133969. The next prime is 1420404134011. The reversal of 1420404134000 is 4314040241.

It is a happy number.

It is a super-3 number, since 3×14204041340003 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44398010 + ... + 44429990.

It is an arithmetic number, because the mean of its divisors is an integer number (21923756946).

Almost surely, 21420404134000 is an apocalyptic number.

1420404134000 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 1420404134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753900555680).

1420404134000 is an abundant number, since it is smaller than the sum of its proper divisors (2087396977360).

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

1420404134000 is a wasteful number, since it uses less digits than its factorization.

1420404134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32476 (or 32460 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1420404134000 its reverse (4314040241), we get a palindrome (1424718174241).

The spelling of 1420404134000 in words is "one trillion, four hundred twenty billion, four hundred four million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 419 424 500 530 838 848 1000 1060 1325 1676 2000 2095 2120 2650 3352 4190 4240 5300 6625 6704 8380 10475 10600 13250 16760 20950 21200 22207 26500 31981 33520 41900 44414 52375 53000 63962 83800 88828 104750 106000 111035 127924 159905 167600 177656 209500 222070 255848 319810 355312 419000 444140 511696 555175 639620 799525 838000 888280 1110350 1279240 1599050 1694993 1776560 2220700 2558480 2775875 3198100 3389986 3997625 4441400 5551750 6396200 6779972 7995250 8474965 8882800 11103500 12792400 13400039 13559944 15990500 16949930 22207000 26800078 27119888 31981000 33899860 42374825 44414000 53600156 63962000 67000195 67799720 84749650 107200312 134000390 135599440 169499300 211874125 214400624 268000780 335000975 338998600 423748250 536001560 670001950 677997200 710202067 847496500 1072003120 1340003900 1420404134 1675004875 1694993000 2680007800 2840808268 3350009750 3389986000 3551010335 5360015600 5681616536 6700019500 7102020670 11363233072 13400039000 14204041340 17755051675 26800078000 28408082680 35510103350 56816165360 71020206700 88775258375 142040413400 177550516750 284080826800 355101033500 710202067000 1420404134000