Search a number
-
+
335020125040 = 245191759125303
BaseRepresentation
bin1001110000000001100…
…00010110101101110000
31012000202010110201001021
410320000300112231300
520442110123000130
6413523415545224
733130053035266
oct4700060265560
91160663421037
10335020125040
1111a0991435a7
1254b1968b214
132579127a8a3
14123021aa436
158aabdb737a
hex4e00c16b70

335020125040 has 80 divisors (see below), whose sum is σ = 820390348800. Its totient is φ = 126881807616.

The previous prime is 335020125029. The next prime is 335020125091. The reversal of 335020125040 is 40521020533.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3350201250402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335020124996 and 335020125014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2611029 + ... + 2736331.

It is an arithmetic number, because the mean of its divisors is an integer number (10254879360).

Almost surely, 2335020125040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335020125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410195174400).

335020125040 is an abundant number, since it is smaller than the sum of its proper divisors (485370223760).

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

335020125040 is a wasteful number, since it uses less digits than its factorization.

335020125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127094 (or 127088 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 335020125040 its reverse (40521020533), we get a palindrome (375541145573).

The spelling of 335020125040 in words is "three hundred thirty-five billion, twenty million, one hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1759 3518 7036 8795 14072 17590 28144 33421 35180 66842 70360 125303 133684 140720 167105 250606 267368 334210 501212 534736 626515 668420 1002424 1253030 1336840 2004848 2380757 2506060 2673680 4761514 5012120 9523028 10024240 11903785 19046056 23807570 38092112 47615140 95230280 190460560 220407977 440815954 881631908 1102039885 1763263816 2204079770 3526527632 4187751563 4408159540 8375503126 8816319080 16751006252 17632638160 20938757815 33502012504 41877515630 67004025008 83755031260 167510062520 335020125040