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354500023205241 = 3420920192
BaseRepresentation
bin101000010011010100111011…
…1111101001011110101111001
31201111011212112010200012210000
41100212221313331023311321
5332431112021420031431
63253543021252143213
7134445532022302524
oct12046516775136571
91644155463605700
10354500023205241
11a2a55685337061
1233914590607b09
13122a62938075a4
146377c6d6c3bbb
152aeb55c1429e6
hex1426a77f4bd79

354500023205241 has 15 divisors (see below), whose sum is σ = 529562016194101. Its totient is φ = 236333235834468.

The previous prime is 354500023205221. The next prime is 354500023205257. The reversal of 354500023205241 is 142502320005453.

The square root of 354500023205241 is 18828171.

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

354500023205241 is a `hidden beast` number, since 3 + 54 + 50 + 0 + 0 + 2 + 32 + 0 + 524 + 1 = 666.

It is not a de Polignac number, because 354500023205241 - 213 = 354500023197049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 354500023205196 and 354500023205205.

It is not an unprimeable number, because it can be changed into a prime (354500023205221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 168407530 + ... + 170499548.

Almost surely, 2354500023205241 is an apocalyptic number.

354500023205241 is the 18828171-st square number.

354500023205241 is the 9414086-th centered octagonal number.

It is an amenable number.

354500023205241 is a deficient number, since it is larger than the sum of its proper divisors (175061992988860).

354500023205241 is an frugal number, since it uses more digits than its factorization.

354500023205241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184050 (or 2092022 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 354500023205241 in words is "three hundred fifty-four trillion, five hundred billion, twenty-three million, two hundred five thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 2092019 6276057 18828171 56484513 169453539 4376543496361 13129630489083 39388891467249 118166674401747 354500023205241