Search a number
-
+
114031420020 = 223257193346819
BaseRepresentation
bin110101000110011001…
…1010110001001110100
3101220100001020022222200
41222030303112021310
53332014020420040
6124215121024500
711144543035410
oct1521463261164
9356301208880
10114031420020
11443a68446a1
121a124a85130
13a9a379ca3b
14573a795d40
152e75ec7630
hex1a8ccd6274

114031420020 has 144 divisors (see below), whose sum is σ = 395521875840. Its totient is φ = 26050284288.

The previous prime is 114031419991. The next prime is 114031420051. The reversal of 114031420020 is 20024130411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114031419975 and 114031420002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2412171 + ... + 2458989.

Almost surely, 2114031420020 is an apocalyptic number.

114031420020 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 114031420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197760937920).

114031420020 is an abundant number, since it is smaller than the sum of its proper divisors (281490455820).

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

114031420020 is a wasteful number, since it uses less digits than its factorization.

114031420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48774 (or 48769 counting only the distinct ones).

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

Adding to 114031420020 its reverse (20024130411), we get a palindrome (134055550431).

The spelling of 114031420020 in words is "one hundred fourteen billion, thirty-one million, four hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1933 3866 5799 7732 9665 11598 13531 17397 19330 23196 27062 28995 34794 38660 40593 46819 54124 57990 67655 69588 81186 86985 93638 115980 121779 135310 140457 162372 173970 187276 202965 234095 243558 270620 280914 327733 347940 405930 421371 468190 487116 561828 608895 655466 702285 811860 842742 936380 983199 1217790 1310932 1404570 1638665 1685484 1966398 2106855 2435580 2809140 2949597 3277330 3932796 4213710 4915995 5899194 6554660 8427420 9831990 11798388 14747985 19663980 29495970 58991940 90501127 181002254 271503381 362004508 452505635 543006762 633507889 814510143 905011270 1086013524 1267015778 1357516905 1629020286 1810022540 1900523667 2534031556 2715033810 3167539445 3258040572 3801047334 4072550715 5430067620 5701571001 6335078890 7602094668 8145101430 9502618335 11403142002 12670157780 16290202860 19005236670 22806284004 28507855005 38010473340 57015710010 114031420020