Search a number
-
+
114298525300 = 225223307161873
BaseRepresentation
bin110101001110010111…
…0010001011001110100
3101221000122211200112211
41222130232101121310
53333040410302200
6124301422023204
711154265302121
oct1523456213164
9357018750484
10114298525300
11445235a0863
121a19a417b04
13aa16c210bb
145764045748
152e8e689aba
hex1a9cb91674

114298525300 has 72 divisors (see below), whose sum is σ = 259656255936. Its totient is φ = 43588892160.

The previous prime is 114298525291. The next prime is 114298525303. The reversal of 114298525300 is 3525892411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114298525303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 625164 + ... + 787036.

It is an arithmetic number, because the mean of its divisors is an integer number (3606336888).

Almost surely, 2114298525300 is an apocalyptic number.

114298525300 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 114298525300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129828127968).

114298525300 is an abundant number, since it is smaller than the sum of its proper divisors (145357730636).

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

114298525300 is a wasteful number, since it uses less digits than its factorization.

114298525300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162217 (or 162210 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 114298525300 in words is "one hundred fourteen billion, two hundred ninety-eight million, five hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 307 460 575 614 1150 1228 1535 2300 3070 6140 7061 7675 14122 15350 28244 30700 35305 70610 141220 161873 176525 323746 353050 647492 706100 809365 1618730 3237460 3723079 4046825 7446158 8093650 14892316 16187300 18615395 37230790 49695011 74461580 93076975 99390022 186153950 198780044 248475055 372307900 496950110 993900220 1142985253 1242375275 2285970506 2484750550 4571941012 4969501100 5714926265 11429852530 22859705060 28574631325 57149262650 114298525300