Search a number
-
+
114403041040 = 2457923337759
BaseRepresentation
bin110101010001011110…
…0111101111100010000
3101221021221111122012011
41222202330331330100
53333244134303130
6124320034112304
711160004542541
oct1524274757420
9357257448164
10114403041040
1144577597002
121a20941b694
13aa32786132
145773c904c8
152e9893252a
hex1aa2f3df10

114403041040 has 80 divisors (see below), whose sum is σ = 269504179200. Its totient is φ = 45156773376.

The previous prime is 114403041037. The next prime is 114403041043. The reversal of 114403041040 is 40140304411.

It is an interprime number because it is at equal distance from previous prime (114403041037) and next prime (114403041043).

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

It is not an unprimeable number, because it can be changed into a prime (114403041043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14740681 + ... + 14748439.

It is an arithmetic number, because the mean of its divisors is an integer number (3368802240).

Almost surely, 2114403041040 is an apocalyptic number.

114403041040 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 114403041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134752089600).

114403041040 is an abundant number, since it is smaller than the sum of its proper divisors (155101138160).

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

114403041040 is a wasteful number, since it uses less digits than its factorization.

114403041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10184 (or 10178 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 114403041040 its reverse (40140304411), we get a palindrome (154543345451).

The spelling of 114403041040 in words is "one hundred fourteen billion, four hundred three million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 2333 3160 4666 6320 7759 9332 11665 15518 18664 23330 31036 37328 38795 46660 62072 77590 93320 124144 155180 184307 186640 310360 368614 612961 620720 737228 921535 1225922 1474456 1843070 2451844 2948912 3064805 3686140 4903688 6129610 7372280 9807376 12259220 14744560 18101747 24518440 36203494 49036880 72406988 90508735 144813976 181017470 289627952 362034940 724069880 1430038013 1448139760 2860076026 5720152052 7150190065 11440304104 14300380130 22880608208 28600760260 57201520520 114403041040