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261303451444 = 227231804722483
BaseRepresentation
bin1111001101011011100…
…1100011111100110100
3220222110200112200111001
43303112321203330310
513240122140421234
6320012515453044
724610225455460
oct3632671437464
9828420480431
10261303451444
11a08aaa93662
1242785bb7184
131b843b222b9
14c90bb134a0
156be5349d14
hex3cd6e63f34

261303451444 has 48 divisors (see below), whose sum is σ = 545383415808. Its totient is φ = 107107485408.

The previous prime is 261303451397. The next prime is 261303451463. The reversal of 261303451444 is 444154303162.

261303451444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 11611027 + ... + 11633509.

It is an arithmetic number, because the mean of its divisors is an integer number (11362154496).

Almost surely, 2261303451444 is an apocalyptic number.

It is an amenable number.

261303451444 is an abundant number, since it is smaller than the sum of its proper divisors (284079964364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261303451444 is a wasteful number, since it uses less digits than its factorization.

261303451444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40564 (or 40562 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 261303451444 in words is "two hundred sixty-one billion, three hundred three million, four hundred fifty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 18047 22483 36094 44966 72188 89932 126329 157381 252658 314762 415081 505316 517109 629524 830162 1034218 1660324 2068436 2905567 3619763 5811134 7239526 11622268 14479052 405750701 811501402 1623002804 2840254907 5680509814 9332266123 11361019628 18664532246 37329064492 65325862861 130651725722 261303451444