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194447434802481 = 3272457214532
BaseRepresentation
bin101100001101100101010010…
…010001110110010100110001
3221111110222211001121111211100
4230031211102101312110301
5200441311321302134411
61525315530211035013
755646235463006200
oct5415452221662461
9844428731544740
10194447434802481
1156a5876a7914a3
121998527059ba69
138466411a310a3
14360343db85237
15177305608b456
hexb0d952476531

194447434802481 has 81 divisors (see below), whose sum is σ = 327666609514881. Its totient is φ = 110793380632704.

The previous prime is 194447434802323. The next prime is 194447434802539. The reversal of 194447434802481 is 184208434744491.

The square root of 194447434802481 is 13944441.

It is a perfect power (a square), and thus also a powerful number.

194447434802481 is a `hidden beast` number, since 1 + 9 + 4 + 4 + 4 + 74 + 3 + 4 + 80 + 2 + 481 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144071792946081 + 50375641856400 = 12002991^2 + 7097580^2 .

It is not a de Polignac number, because 194447434802481 - 29 = 194447434801969 is a prime.

It is a super-2 number, since 2×1944474348024812 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (194447434802281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 133824799551 + ... + 133824801003.

Almost surely, 2194447434802481 is an apocalyptic number.

194447434802481 is the 13944441-st square number.

194447434802481 is the 6972221-st centered octagonal number.

It is an amenable number.

194447434802481 is a deficient number, since it is larger than the sum of its proper divisors (133219174712400).

194447434802481 is an frugal number, since it uses more digits than its factorization.

194447434802481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 194447434802481 in words is "one hundred ninety-four trillion, four hundred forty-seven billion, four hundred thirty-four million, eight hundred two thousand, four hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 441 457 1371 1453 3199 4113 4359 9597 10171 13077 22393 28791 30513 67179 71197 91539 201537 208849 213591 626547 640773 664021 1461943 1879641 1992063 2111209 4385829 4648147 5976189 6333627 10233601 13157487 13944441 14778463 19000881 30700803 32537029 41833323 44335389 92102409 97611087 103449241 133006167 292833261 303457597 310347723 910372791 931043169 964822513 2124203179 2731118373 2894467539 6372609537 6753757591 8683402617 14869422253 19117828611 20261272773 44608266759 47276303137 60783818319 133824800277 141828909411 425486728233 440923888441 1322771665323 3086467219087 3968314995969 9259401657261 21605270533609 27778204971783 64815811600827 194447434802481