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45314125106001 = 34116711631896847
BaseRepresentation
bin10100100110110100001000…
…10101001000101101010001
312221102222200021211220012220
422103122010111020231101
521414411312011343001
6240213004404011253
712354560156125353
oct1223320425105521
9187388607756186
1045314125106001
1113490681316054
1250ba220990b29
131c391469904cb
14b29302d250d3
15538acebe3c36
hex293684548b51

45314125106001 has 32 divisors (see below), whose sum is σ = 62316646576128. Its totient is φ = 29270913490560.

The previous prime is 45314125105943. The next prime is 45314125106071. The reversal of 45314125106001 is 10060152141354.

It is not a de Polignac number, because 45314125106001 - 26 = 45314125105937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45314125106071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22940760 + ... + 24837606.

It is an arithmetic number, because the mean of its divisors is an integer number (1947395205504).

Almost surely, 245314125106001 is an apocalyptic number.

45314125106001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

45314125106001 is a deficient number, since it is larger than the sum of its proper divisors (17002521470127).

45314125106001 is a wasteful number, since it uses less digits than its factorization.

45314125106001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898221.

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 45314125106001 its reverse (10060152141354), we get a palindrome (55374277247355).

The spelling of 45314125106001 in words is "forty-five trillion, three hundred fourteen billion, one hundred twenty-five million, one hundred six thousand, one".

Divisors: 1 3 41 123 167 501 1163 3489 6847 20541 47683 143049 194221 582663 1896847 5690541 7963061 23889183 77770727 233312181 316773449 950320347 2206033061 6618099183 12987711409 38963134227 90447355501 271342066503 368407521187 1105222563561 15104708368667 45314125106001