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352411423204401 = 32114189975530651
BaseRepresentation
bin101000000100001000010110…
…1101100011110010000110001
31201012210012111000021222111100
41100020100231230132100301
5332142402043320020101
63245303323421435013
7134141612410231221
oct12010205554362061
91635705430258440
10352411423204401
11a231a933063290
123363784070ba69
13121843404cc222
146304b37c48081
152ab206ab7ce86
hex140842db1e431

352411423204401 has 48 divisors (see below), whose sum is σ = 575250914871360. Its totient is φ = 206032073280000.

The previous prime is 352411423204397. The next prime is 352411423204409. The reversal of 352411423204401 is 104402324114253.

352411423204401 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 1 + 1 + 42 + 3 + 204 + 401 = 666.

It is not a de Polignac number, because 352411423204401 - 22 = 352411423204397 is a prime.

It is a super-4 number, since 4×3524114232044014 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (352411423204409) 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 47 ways as a sum of consecutive naturals, for example, 487404075 + ... + 488126576.

It is an arithmetic number, because the mean of its divisors is an integer number (11984394059820).

Almost surely, 2352411423204401 is an apocalyptic number.

It is an amenable number.

352411423204401 is a deficient number, since it is larger than the sum of its proper divisors (222839491666959).

352411423204401 is a wasteful number, since it uses less digits than its factorization.

352411423204401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975530798 (or 975530795 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 352411423204401 its reverse (104402324114253), we get a palindrome (456813747318654).

The spelling of 352411423204401 in words is "three hundred fifty-two trillion, four hundred eleven billion, four hundred twenty-three million, two hundred four thousand, four hundred one".

Divisors: 1 3 9 11 33 41 89 99 123 267 369 451 801 979 1353 2937 3649 4059 8811 10947 32841 40139 120417 361251 975530651 2926591953 8779775859 10730837161 32192511483 39996756691 86822227939 96577534449 119990270073 260466683817 359970810219 439964323601 781400051451 955044507329 1319892970803 2865133521987 3559711345499 3959678912409 8595400565961 10679134036497 32037402109491 39156824800489 117470474401467 352411423204401