Search a number
-
+
44106310072881 = 3275315978271407
BaseRepresentation
bin10100000011101010011001…
…11100011011101000110001
312210011112002120202222012100
422001311030330123220301
521240114210334313011
6233450054212051013
712201401323545240
oct1201651474335061
9183145076688170
1044106310072881
1113065421206a01
124b44122003a69
131b7c290285264
14ac6a84920957
1551748dd97d56
hex281d4cf1ba31

44106310072881 has 48 divisors (see below), whose sum is σ = 74230659270144. Its totient is φ = 24712578963072.

The previous prime is 44106310072861. The next prime is 44106310072883. The reversal of 44106310072881 is 18827001360144.

44106310072881 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 631 + 0 + 0 + 7 + 2 + 8 + 8 + 1 = 666.

It is not a de Polignac number, because 44106310072881 - 25 = 44106310072849 is a prime.

It is a super-2 number, since 2×441063100728812 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44106310072883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196680 + ... + 9468086.

It is an arithmetic number, because the mean of its divisors is an integer number (1546472068128).

Almost surely, 244106310072881 is an apocalyptic number.

It is an amenable number.

44106310072881 is a deficient number, since it is larger than the sum of its proper divisors (30124349197263).

44106310072881 is a wasteful number, since it uses less digits than its factorization.

44106310072881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273070 (or 8273067 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 44106310072881 in words is "forty-four trillion, one hundred six billion, three hundred ten million, seventy-two thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 53 63 159 371 477 1113 1597 3339 4791 11179 14373 33537 84641 100611 253923 592487 761769 1777461 5332383 8271407 24814221 57899849 74442663 173699547 438384571 521098641 1315153713 3068691997 3945461139 9206075991 13209436979 27618227973 39628310937 92466058853 118884932811 277398176559 700100159887 832194529677 2100300479661 4900701119209 6300901438983 14702103357627 44106310072881