Search a number
-
+
114006263420 = 22577113187553
BaseRepresentation
bin110101000101101001…
…1011000011001111100
3101220021021220020121202
41222023103120121330
53331441100412140
6124212421515032
711144116151510
oct1521323303174
9356237806552
10114006263420
1144393622115
121a118572a78
13a99b50248a
1457372c8140
152e73ba8915
hex1a8b4d867c

114006263420 has 96 divisors (see below), whose sum is σ = 279590040576. Its totient is φ = 38242713600.

The previous prime is 114006263389. The next prime is 114006263443. The reversal of 114006263420 is 24362600411.

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, 1258364 + ... + 1345916.

It is an arithmetic number, because the mean of its divisors is an integer number (2912396256).

Almost surely, 2114006263420 is an apocalyptic number.

114006263420 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 114006263420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139795020288).

114006263420 is an abundant number, since it is smaller than the sum of its proper divisors (165583777156).

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

114006263420 is a wasteful number, since it uses less digits than its factorization.

114006263420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87771 (or 87769 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 114006263420 its reverse (24362600411), we get a palindrome (138368863831).

The spelling of 114006263420 in words is "one hundred fourteen billion, six million, two hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 131 140 142 262 284 355 497 524 655 710 917 994 1310 1420 1834 1988 2485 2620 3668 4585 4970 9170 9301 9940 18340 18602 37204 46505 65107 87553 93010 130214 175106 186020 260428 325535 350212 437765 612871 651070 875530 1225742 1302140 1751060 2451484 3064355 6128710 6216263 11469443 12257420 12432526 22938886 24865052 31081315 43513841 45877772 57347215 62162630 80286101 87027682 114694430 124325260 160572202 174055364 217569205 229388860 321144404 401430505 435138410 802861010 814330453 870276820 1605722020 1628660906 3257321812 4071652265 5700313171 8143304530 11400626342 16286609060 22801252684 28501565855 57003131710 114006263420