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44465621424 = 24372337155509
BaseRepresentation
bin101001011010010110…
…111000100110110000
311020202212220121110120
4221122112320212300
51212031144341144
632232140330240
73132620355150
oct513226704660
9136685817416
1044465621424
1117948758564
12874b543980
1342682b00c3
14221b6c8760
151253a83e19
hexa5a5b89b0

44465621424 has 160 divisors (see below), whose sum is σ = 140690519040. Its totient is φ = 11823584256.

The previous prime is 44465621407. The next prime is 44465621443. The reversal of 44465621424 is 42412656444.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208182 + ... + 363690.

It is an arithmetic number, because the mean of its divisors is an integer number (879315744).

Almost surely, 244465621424 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 44465621424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70345259520).

44465621424 is an abundant number, since it is smaller than the sum of its proper divisors (96224897616).

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

44465621424 is a wasteful number, since it uses less digits than its factorization.

44465621424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155587 (or 155581 counting only the distinct ones).

The product of its digits is 737280, while the sum is 42.

The spelling of 44465621424 in words is "forty-four billion, four hundred sixty-five million, six hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 37 42 46 48 56 69 74 84 92 111 112 138 148 161 168 184 222 259 276 296 322 336 368 444 483 518 552 592 644 777 851 888 966 1036 1104 1288 1554 1702 1776 1932 2072 2553 2576 3108 3404 3864 4144 5106 5957 6216 6808 7728 10212 11914 12432 13616 17871 20424 23828 35742 40848 47656 71484 95312 142968 155509 285936 311018 466527 622036 933054 1088563 1244072 1866108 2177126 2488144 3265689 3576707 3732216 4354252 5753833 6531378 7153414 7464432 8708504 10730121 11507666 13062756 14306828 17261499 17417008 21460242 23015332 25036949 26125512 28613656 34522998 40276831 42920484 46030664 50073898 52251024 57227312 69045996 75110847 80553662 85840968 92061328 100147796 120830493 132338159 138091992 150221694 161107324 171681936 200295592 241660986 264676318 276183984 300443388 322214648 397014477 400591184 483321972 529352636 600886776 644429296 794028954 926367113 966643944 1058705272 1201773552 1588057908 1852734226 1933287888 2117410544 2779101339 3176115816 3705468452 5558202678 6352231632 7410936904 11116405356 14821873808 22232810712 44465621424