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44322121045232 = 241713115121139041
BaseRepresentation
bin10100001001111100011000…
…10001111101010011110000
312210221011010211012021022022
422010332030101331103300
521302133200441421412
6234133145030131012
712223111322544452
oct1204761421752360
9183834124167268
1044322121045232
11131389a69446a8
124b79b107b0a68
131b96734145674
14ad32b880a2d2
1551cdc0424a72
hex284f8c47d4f0

44322121045232 has 160 divisors (see below), whose sum is σ = 92665833435648. Its totient is φ = 20463206400000.

The previous prime is 44322121045217. The next prime is 44322121045289. The reversal of 44322121045232 is 23254012122344.

It is a junction number, because it is equal to n+sod(n) for n = 44322121045192 and 44322121045201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135251632 + ... + 1135290672.

Almost surely, 244322121045232 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 44322121045232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46332916717824).

44322121045232 is an abundant number, since it is smaller than the sum of its proper divisors (48343712390416).

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

44322121045232 is a wasteful number, since it uses less digits than its factorization.

44322121045232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39559 (or 39553 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 44322121045232 its reverse (23254012122344), we get a palindrome (67576133167576).

The spelling of 44322121045232 in words is "forty-four trillion, three hundred twenty-two billion, one hundred twenty-one million, forty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 131 136 151 211 262 272 302 422 524 604 844 1048 1208 1688 2096 2227 2416 2567 3376 3587 4454 5134 7174 8908 10268 14348 17816 19781 20536 27641 28696 31861 35632 39041 39562 41072 55282 57392 63722 78082 79124 110564 127444 156164 158248 221128 254888 312328 316496 336277 442256 469897 509776 541637 624656 663697 672554 939794 1083274 1327394 1345108 1879588 2166548 2654788 2690216 3759176 4173791 4333096 5114371 5309576 5380432 5895191 7518352 8237651 8347582 8666192 10228742 10619152 11790382 16475302 16695164 20457484 23580764 32950604 33390328 40914968 47161528 65901208 66780656 70954447 81829936 86944307 94323056 100218247 131802416 140040067 141908894 173888614 200436494 280080134 283817788 347777228 400872988 560160268 567635576 695554456 772270021 801745976 1079132281 1120320536 1135271152 1243885301 1391108912 1544540042 1603491952 2158264562 2240641072 2487770602 3089080084 4316529124 4975541204 6178160168 8633058248 9951082408 12356320336 13128590357 17266116496 18345248777 19902164816 21146050117 26257180714 36690497554 42292100234 52514361428 73380995108 84584200468 105028722856 146761990216 162948974431 169168400936 210057445712 293523980432 325897948862 338336801872 651795897724 1303591795448 2607183590896 2770132565327 5540265130654 11080530261308 22161060522616 44322121045232