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44441500514444 = 221171229317195967
BaseRepresentation
bin10100001101011010101111…
…10110011111100010001100
312211100120021120201122120222
422012231113312133202030
521311112143112430234
6234304050554330512
712234535545361265
oct1206552766374214
9184316246648528
1044441500514444
11131845974a8860
124b99088729a38
131ba4a7a8c6247
14ad8da158396c
1552105aba442e
hex286b57d9f88c

44441500514444 has 96 divisors (see below), whose sum is σ = 86686585896960. Its totient is φ = 19766541715200.

The previous prime is 44441500514407. The next prime is 44441500514483.

44441500514444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44441500514395 and 44441500514404.

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, 226682549 + ... + 226878515.

It is an arithmetic number, because the mean of its divisors is an integer number (902985269760).

Almost surely, 244441500514444 is an apocalyptic number.

44441500514444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44441500514444 is a deficient number, since it is larger than the sum of its proper divisors (42245085382516).

44441500514444 is a wasteful number, since it uses less digits than its factorization.

44441500514444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196599 (or 196597 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 44.

It can be divided in two parts, 44441500 and 514444, that added together give a palindrome (44955944).

The spelling of 44441500514444 in words is "forty-four trillion, four hundred forty-one billion, five hundred million, five hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 71 142 229 284 317 458 634 781 916 1268 1562 2519 3124 3487 5038 6974 10076 13948 16259 22507 32518 45014 65036 72593 90028 145186 178849 195967 247577 290372 357698 391934 495154 715396 783868 798523 990308 1597046 2155637 3194092 4311274 5154103 8622548 10308206 13913657 20616412 27827314 44876443 55654628 56695133 62121539 89752886 113390266 124243078 153050227 179505772 226780532 248486156 306100454 493640873 612200908 683336929 987281746 1366673858 1974563492 2733347716 3186227453 4410629269 6372454906 8821258538 12744909812 14225832431 17642517076 28451664862 35048501983 48516921959 56903329724 70097003966 97033843918 140194007932 156484156741 194067687836 312968313482 625936626964 1010034102601 2020068205202 4040136410404 11110375128611 22220750257222 44441500514444