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44228633085 = 32572137919531
BaseRepresentation
bin101001001100001110…
…110110000111111101
311020011100222100120200
4221030032312013331
51211040012224320
632152433034113
73124012115100
oct511416660775
9136140870520
1044228633085
1117836a0172a
1286a40b5939
13422b175010
1421d8038737
15123cd70290
hexa4c3b61fd

44228633085 has 144 divisors (see below), whose sum is σ = 97259984640. Its totient is φ = 18426320640.

The previous prime is 44228633063. The next prime is 44228633089. The reversal of 44228633085 is 58033682244.

44228633085 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 8 + 633 + 0 + 8 + 5 = 666.

It is not a de Polignac number, because 44228633085 - 26 = 44228633021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 44228633085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44228633089) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2254770 + ... + 2274300.

It is an arithmetic number, because the mean of its divisors is an integer number (675416560).

Almost surely, 244228633085 is an apocalyptic number.

44228633085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44228633085 is an abundant number, since it is smaller than the sum of its proper divisors (53031351555).

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

44228633085 is a wasteful number, since it uses less digits than its factorization.

44228633085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19648 (or 19638 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 44228633085 in words is "forty-four billion, two hundred twenty-eight million, six hundred thirty-three thousand, eighty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 79 91 105 117 147 195 237 245 273 315 395 441 455 553 585 637 711 735 819 1027 1185 1365 1659 1911 2205 2765 3081 3185 3555 3871 4095 4977 5135 5733 7189 8295 9243 9555 11613 15405 19355 19531 21567 24885 28665 34839 35945 46215 50323 58065 58593 64701 97655 107835 136717 150969 174195 175779 251615 253903 292965 323505 410151 452907 683585 754845 761709 878895 957019 1230453 1269515 1542949 1777321 2050755 2264535 2285127 2871057 3808545 4628847 4785095 5331963 6152265 7714745 8613171 8886605 10800643 11425635 12441247 13886541 14355285 15995889 20058337 23144235 26659815 32401929 37323741 43065855 54003215 60175011 62206235 69432705 75604501 79979445 97205787 100291685 111971223 140408359 162009645 180525033 186618705 226813503 300875055 378022505 421225077 486028935 559856115 680440509 702041795 902625165 982858513 1134067515 1263675231 2106125385 2948575539 3402202545 4914292565 6318376155 8845726617 14742877695 44228633085