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23405141036205 = 3353148311115763
BaseRepresentation
bin1010101001001011011110…
…00111100000110010101101
310001212111202112001211222000
411110211233013200302231
511031432212101124310
6121440101240042513
74633652133201525
oct524455707406255
9101774675054860
1023405141036205
117504078a42765
1227600a6463439
13100a131591716
145acb5a00c685
152a8c4c4d84c0
hex15496f1e0cad

23405141036205 has 64 divisors (see below), whose sum is σ = 42952630026240. Its totient is φ = 12079718395200.

The previous prime is 23405141036197. The next prime is 23405141036231. The reversal of 23405141036205 is 50263014150432.

23405141036205 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 5 + 1 + 410 + 36 + 205 = 666.

It is not a de Polignac number, because 23405141036205 - 23 = 23405141036197 is a prime.

It is a super-2 number, since 2×234051410362052 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23405141036205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202123654 + ... + 202239416.

It is an arithmetic number, because the mean of its divisors is an integer number (671134844160).

Almost surely, 223405141036205 is an apocalyptic number.

It is an amenable number.

23405141036205 is a deficient number, since it is larger than the sum of its proper divisors (19547488990035).

23405141036205 is a wasteful number, since it uses less digits than its factorization.

23405141036205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164119 (or 164113 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 23405141036205 its reverse (50263014150432), we get a palindrome (73668155186637).

The spelling of 23405141036205 in words is "twenty-three trillion, four hundred five billion, one hundred forty-one million, thirty-six thousand, two hundred five".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 465 837 1395 4185 48311 115763 144933 241555 347289 434799 578815 724665 1041867 1304397 1497641 1736445 2173995 3125601 3588653 4492923 5209335 6521985 7488205 10765959 13478769 15628005 17943265 22464615 32297877 40436307 53829795 67393845 96893631 161489385 202181535 484468155 5592626293 16777878879 27963131465 50333636637 83889394395 151000909911 173371415083 251668183185 520114245249 755004549555 866857075415 1560342735747 2600571226245 4681028207241 7801713678735 23405141036205