Search a number
-
+
114152666355 = 32571339677027
BaseRepresentation
bin110101001010000000…
…1110111010011110011
3101220122111101021200200
41222110001313103303
53332241040310410
6124235131450243
711150544440310
oct1522401672363
9356574337620
10114152666355
1144459227882
121a1595b6983
13a9c2942030
14574c917d07
152e819773c0
hex1a940774f3

114152666355 has 96 divisors (see below), whose sum is σ = 243621740544. Its totient is φ = 48150920448.

The previous prime is 114152666351. The next prime is 114152666357. The reversal of 114152666355 is 553666251411.

It is not a de Polignac number, because 114152666355 - 22 = 114152666351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 114152666355.

It is not an unprimeable number, because it can be changed into a prime (114152666351) 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 95 ways as a sum of consecutive naturals, for example, 16241352 + ... + 16248378.

It is an arithmetic number, because the mean of its divisors is an integer number (2537726464).

Almost surely, 2114152666355 is an apocalyptic number.

114152666355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114152666355 is an abundant number, since it is smaller than the sum of its proper divisors (129469074189).

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

114152666355 is a wasteful number, since it uses less digits than its factorization.

114152666355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11025 (or 11022 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 114152666355 in words is "one hundred fourteen billion, one hundred fifty-two million, six hundred sixty-six thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 3967 4095 7027 11901 19835 21081 27769 35135 35703 49189 51571 59505 63243 83307 91351 105405 138845 147567 154713 178515 245945 249921 257855 274053 316215 360997 416535 442701 456755 464139 639457 737835 773565 822159 1082991 1249605 1370265 1804985 1918371 2213505 2320695 3197285 3248973 4110795 5414955 5755113 9591855 16244865 27876109 28775565 83628327 139380545 195132763 250884981 362389417 418141635 585398289 975663815 1087168251 1254424905 1756194867 1811947085 2536725919 2926991445 3261504753 5435841255 7610177757 8780974335 12683629595 16307523765 22830533271 38050888785 114152666355