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344132201031045 = 35717192791149037
BaseRepresentation
bin100111000111111001000010…
…1100110010010010110000101
31200010110201100210010111200220
41032033302011212102112011
5330101230221430443140
63215524052313254553
7132325505515006350
oct11617620546222605
91603421323114626
10344132201031045
119a718712a79509
123271b161a04459
1311a036b167255b
1460da131b85297
1529bba0571bbd0
hex138fc85992585

344132201031045 has 32 divisors (see below), whose sum is σ = 666286211075328. Its totient is φ = 148063602459648.

The previous prime is 344132201031029. The next prime is 344132201031103. The reversal of 344132201031045 is 540130102231443.

It is not a de Polignac number, because 344132201031045 - 24 = 344132201031029 is a prime.

It is a super-2 number, since 2×3441322010310452 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344132201030997 and 344132201031015.

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 31 ways as a sum of consecutive naturals, for example, 96395572734 + ... + 96395576303.

It is an arithmetic number, because the mean of its divisors is an integer number (20821444096104).

Almost surely, 2344132201031045 is an apocalyptic number.

344132201031045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

344132201031045 is a deficient number, since it is larger than the sum of its proper divisors (322154010044283).

344132201031045 is a wasteful number, since it uses less digits than its factorization.

344132201031045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192791149069.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 344132201031045 its reverse (540130102231443), we get a palindrome (884262303262488).

The spelling of 344132201031045 in words is "three hundred forty-four trillion, one hundred thirty-two billion, two hundred one million, thirty-one thousand, forty-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 1785 192791149037 578373447111 963955745185 1349538043259 2891867235555 3277449533629 4048614129777 6747690216295 9832348600887 16387247668145 20243070648885 22942146735403 49161743004435 68826440206209 114710733677015 344132201031045