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354200016431 = 4159653224233
BaseRepresentation
bin1010010011101111111…
…01110101011000101111
31020212020210211010210002
411021313331311120233
521300400201011211
6430414531334515
734406256315062
oct5116775653057
91225223733702
10354200016431
11127240747908
1258790a5143b
1327529a81951
14132015b08d9
159330b3803b
hex5277f7562f

354200016431 has 16 divisors (see below), whose sum is σ = 369555570720. Its totient is φ = 339182292480.

The previous prime is 354200016409. The next prime is 354200016481. The reversal of 354200016431 is 134610002453.

It is a cyclic number.

It is not a de Polignac number, because 354200016431 - 226 = 354132907567 is a prime.

It is a super-3 number, since 3×3542000164313 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 354200016394 and 354200016403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354200016481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1467491 + ... + 1691723.

It is an arithmetic number, because the mean of its divisors is an integer number (23097223170).

Almost surely, 2354200016431 is an apocalyptic number.

354200016431 is a deficient number, since it is larger than the sum of its proper divisors (15355554289).

354200016431 is a wasteful number, since it uses less digits than its factorization.

354200016431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224986.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 354200016431 its reverse (134610002453), we get a palindrome (488810018884).

The spelling of 354200016431 in words is "three hundred fifty-four billion, two hundred million, sixteen thousand, four hundred thirty-one".

Divisors: 1 41 59 653 2419 26773 38527 224233 1579607 9193553 13229747 146424149 542419627 6003390109 8639024791 354200016431