Search a number
-
+
44071228116 = 2234832396857
BaseRepresentation
bin101001000010110110…
…011001001011010100
311012202101210100120000
4221002312121023110
51210224213244431
632125051211300
73120061154346
oct510266311324
9135671710500
1044071228116
1117766071a83
12865b446b30
134204682796
1421c1183296
15122e12b9e6
hexa42d992d4

44071228116 has 120 divisors (see below), whose sum is σ = 117103916160. Its totient is φ = 14450583168.

The previous prime is 44071228031. The next prime is 44071228121. The reversal of 44071228116 is 61182217044.

It is a happy number.

44071228116 is a `hidden beast` number, since 440 + 7 + 122 + 81 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6423760 + ... + 6430616.

It is an arithmetic number, because the mean of its divisors is an integer number (975865968).

Almost surely, 244071228116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44071228116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58551958080).

44071228116 is an abundant number, since it is smaller than the sum of its proper divisors (73032688044).

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

44071228116 is a wasteful number, since it uses less digits than its factorization.

44071228116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7195 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 44071228116 in words is "forty-four billion, seventy-one million, two hundred twenty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 239 249 324 332 478 498 717 747 956 996 1434 1494 2151 2241 2868 2988 4302 4482 6453 6723 6857 8604 8964 12906 13446 13714 19359 19837 20571 25812 26892 27428 38718 39674 41142 59511 61713 77436 79348 82284 119022 123426 178533 185139 238044 246852 357066 370278 535599 555417 569131 714132 740556 1071198 1110834 1138262 1606797 1638823 1707393 2142396 2221668 2276524 3213594 3277646 3414786 4916469 5122179 6427188 6555292 6829572 9832938 10244358 14749407 15366537 19665876 20488716 29498814 30733074 44248221 46099611 58997628 61466148 88496442 92199222 132744663 136022309 176992884 184398444 265489326 272044618 408066927 530978652 544089236 816133854 1224200781 1632267708 2448401562 3672602343 4896803124 7345204686 11017807029 14690409372 22035614058 44071228116