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44221232340 = 223559199901
BaseRepresentation
bin101001001011110010…
…100111010011010100
311020010212001100200000
4221023302213103110
51211031113413330
632152010251300
73123562162425
oct511362472324
9136125040600
1044221232340
111783280740a
1286a1726b30
13422978358c
1421d706d64c
15123c3ac560
hexa4bca74d4

44221232340 has 144 divisors (see below), whose sum is σ = 139271233920. Its totient is φ = 11778307200.

The previous prime is 44221232299. The next prime is 44221232347. The reversal of 44221232340 is 4323212244.

44221232340 is a `hidden beast` number, since 4 + 422 + 1 + 2 + 3 + 234 + 0 = 666.

44221232340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44221232347) 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, 4461390 + ... + 4471290.

Almost surely, 244221232340 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 44221232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69635616960).

44221232340 is an abundant number, since it is smaller than the sum of its proper divisors (95050001580).

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

44221232340 is a wasteful number, since it uses less digits than its factorization.

44221232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10844 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 44221232340 its reverse (4323212244), we get a palindrome (48544444584).

It can be divided in two parts, 442212 and 32340, that added together give a cube (474552 = 783).

The spelling of 44221232340 in words is "forty-four billion, two hundred twenty-one million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 919 972 1215 1620 1838 2430 2757 3676 4595 4860 5514 8271 9190 9901 11028 13785 16542 18380 19802 24813 27570 29703 33084 39604 41355 49505 49626 55140 59406 74439 82710 89109 99010 99252 118812 124065 148515 148878 165420 178218 198020 223317 248130 267327 297030 297756 356436 372195 445545 446634 496260 534654 594060 744390 801981 891090 893268 1069308 1116585 1336635 1488780 1603962 1782180 2233170 2405943 2673270 3207924 4009905 4466340 4811886 5346540 8019810 9099019 9623772 12029715 16039620 18198038 24059430 27297057 36396076 45495095 48118860 54594114 81891171 90990190 109188228 136485285 163782342 181980380 245673513 272970570 327564684 409455855 491347026 545941140 737020539 818911710 982694052 1228367565 1474041078 1637823420 2211061617 2456735130 2948082156 3685102695 4422123234 4913470260 7370205390 8844246468 11055308085 14740410780 22110616170 44221232340