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1444349629597 = 721091117242101
BaseRepresentation
bin10101000001001001111…
…100100101010010011101
312010002010012122102001211
4111001021330211102131
5142131012001121342
63023305225104421
7206231221166500
oct25011174452235
95102105572054
101444349629597
115075aa791436
121b3b11928111
13a6280b64554
144dc9a73d137
1527886930c17
hex15049f2549d

1444349629597 has 24 divisors (see below), whose sum is σ = 1697101125720. Its totient is φ = 1225552809600.

The previous prime is 1444349629549. The next prime is 1444349629607. The reversal of 1444349629597 is 7959269434441.

It can be written as a sum of positive squares in 4 ways, for example, as 48121441956 + 1396228187641 = 219366^2 + 1181621^2 .

It is not a de Polignac number, because 1444349629597 - 215 = 1444349596829 is a prime.

It is a super-2 number, since 2×14443496295972 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444349623597) 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 23 ways as a sum of consecutive naturals, for example, 5844847 + ... + 6086947.

It is an arithmetic number, because the mean of its divisors is an integer number (70712546905).

Almost surely, 21444349629597 is an apocalyptic number.

It is an amenable number.

1444349629597 is a deficient number, since it is larger than the sum of its proper divisors (252751496123).

1444349629597 is a wasteful number, since it uses less digits than its factorization.

1444349629597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243341 (or 243334 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 67.

The spelling of 1444349629597 in words is "one trillion, four hundred forty-four billion, three hundred forty-nine million, six hundred twenty-nine thousand, five hundred ninety-seven".

Divisors: 1 7 49 109 763 1117 5341 7819 54733 121753 242101 852271 1694707 5965897 11862949 26389009 184723063 270426817 1293061441 1892987719 13250914033 29476523053 206335661371 1444349629597