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354142819801 = 192313212
BaseRepresentation
bin1010010011101001000…
…11101001010111011001
31020212002211012020202101
411021310203221113121
521300241030213201
6430405125403401
734404663205051
oct5116443512731
91225084166671
10354142819801
11127211431171
1258775869561
132751ac769a4
14131d7b62561
15932aadad01
hex52748e95d9

354142819801 has 9 divisors (see below), whose sum is σ = 373774854303. Its totient is φ = 335493012240.

The previous prime is 354142819781. The next prime is 354142819837. The reversal of 354142819801 is 108918241453.

The square root of 354142819801 is 595099.

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

It can be written as a sum of positive squares in only one way, i.e., 193117181401 + 161025638400 = 439451^2 + 401280^2 .

It is not a de Polignac number, because 354142819801 - 219 = 354142295513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (354142819301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11291221 + ... + 11322541.

It is an arithmetic number, because the mean of its divisors is an integer number (41530539367).

Almost surely, 2354142819801 is an apocalyptic number.

354142819801 is the 595099-th square number.

354142819801 is the 297550-th centered octagonal number.

It is an amenable number.

354142819801 is a deficient number, since it is larger than the sum of its proper divisors (19632034502).

354142819801 is an frugal number, since it uses more digits than its factorization.

354142819801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62680 (or 31340 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 354142819801 in words is "three hundred fifty-four billion, one hundred forty-two million, eight hundred nineteen thousand, eight hundred one".

Divisors: 1 19 361 31321 595099 11306881 981005041 18639095779 354142819801