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44106561882405 = 3351137802740229
BaseRepresentation
bin10100000011101010110111…
…11101000000100100100101
312210011112202010121012221000
422001311123331000210211
521240120214320214110
6233450135205143513
712201410502104631
oct1201653375004445
9183145663535830
1044106561882405
1113065540366150
124b441923bab99
131b7c3004ac489
14ac6aaa14bdc1
155174a60381c0
hex281d5bf40925

44106561882405 has 64 divisors (see below), whose sum is σ = 87851890771200. Its totient is φ = 20807026709760.

The previous prime is 44106561882367. The next prime is 44106561882419. The reversal of 44106561882405 is 50428816560144.

44106561882405 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 6 + 56 + 188 + 2 + 405 = 666.

It is not a de Polignac number, because 44106561882405 - 216 = 44106561816869 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401315170 + ... + 401425059.

It is an arithmetic number, because the mean of its divisors is an integer number (1372685793300).

Almost surely, 244106561882405 is an apocalyptic number.

44106561882405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44106561882405 is a deficient number, since it is larger than the sum of its proper divisors (43745328888795).

44106561882405 is a wasteful number, since it uses less digits than its factorization.

44106561882405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802740291 (or 802740285 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 44106561882405 in words is "forty-four trillion, one hundred six billion, five hundred sixty-one million, eight hundred eighty-two thousand, four hundred five".

Divisors: 1 3 5 9 11 15 27 33 37 45 55 99 111 135 165 185 297 333 407 495 555 999 1221 1485 1665 2035 3663 4995 6105 10989 18315 54945 802740229 2408220687 4013701145 7224662061 8830142519 12041103435 21673986183 26490427557 29701388473 36123310305 44150712595 79471282671 89104165419 108369930915 132452137785 148506942365 238413848013 267312496257 326715273203 397356413355 445520827095 801937488771 980145819609 1192069240065 1336562481285 1633576366015 2940437458827 4009687443855 4900729098045 8821312376481 14702187294135 44106561882405