Search a number
-
+
194301330399 = 32112417435857
BaseRepresentation
bin1011010011110101000…
…0110000001111011111
3200120112012020021102100
42310331100300033133
511140412120033044
6225132155500143
720015653025631
oct2647520601737
9616465207370
10194301330399
1175448043400
12317a7157653
13154267c8927
149593310a51
1550c300e869
hex2d3d4303df

194301330399 has 72 divisors (see below), whose sum is σ = 316494805536. Its totient is φ = 114712012800.

The previous prime is 194301330397. The next prime is 194301330407. The reversal of 194301330399 is 993033103491.

194301330399 is a `hidden beast` number, since 1 + 9 + 4 + 301 + 330 + 3 + 9 + 9 = 666.

It is not a de Polignac number, because 194301330399 - 21 = 194301330397 is a prime.

It is a super-2 number, since 2×1943013303992 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194301330397) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33171279 + ... + 33177135.

It is an arithmetic number, because the mean of its divisors is an integer number (4395761188).

Almost surely, 2194301330399 is an apocalyptic number.

194301330399 is a deficient number, since it is larger than the sum of its proper divisors (122193475137).

194301330399 is a wasteful number, since it uses less digits than its factorization.

194301330399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The spelling of 194301330399 in words is "one hundred ninety-four billion, three hundred one million, three hundred thirty thousand, three hundred ninety-nine".

Divisors: 1 3 9 11 33 41 99 121 123 363 369 451 743 1089 1353 2229 4059 4961 5857 6687 8173 14883 17571 24519 30463 44649 52713 64427 73557 89903 91389 193281 240137 269709 274167 335093 579843 708697 720411 809127 1005279 2126091 2161233 2641507 3015837 3686023 4351751 6378273 7924521 11058069 13055253 23773563 29056577 33174207 39165759 47869261 87169731 143607783 178421791 261509193 430823349 526561871 535265373 1579685613 1605796119 1962639701 4739056839 5887919103 17663757309 21589036711 64767110133 194301330399