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44223413112032 = 2571121985874707
BaseRepresentation
bin10100000111000100100001…
…10101000100110011100000
312210120201100200210201111112
422003202100311010303200
521244024022224041112
6234015542220402452
712213015255135530
oct1203422065046340
9183521320721445
1044223413112032
1113100053888500
124b629636a6428
131b8a333223cbb
14acc5d32034c0
1551a54485ea22
hex283890d44ce0

44223413112032 has 144 divisors (see below), whose sum is σ = 115127068533120. Its totient is φ = 16323064116480.

The previous prime is 44223413112031. The next prime is 44223413112049. The reversal of 44223413112032 is 23021131432244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 44223413112032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44223413112031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42422378 + ... + 43452329.

It is an arithmetic number, because the mean of its divisors is an integer number (799493531480).

Almost surely, 244223413112032 is an apocalyptic number.

It is an amenable number.

44223413112032 is an abundant number, since it is smaller than the sum of its proper divisors (70903655421088).

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

44223413112032 is a wasteful number, since it uses less digits than its factorization.

44223413112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85874765 (or 85874746 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 44223413112032 its reverse (23021131432244), we get a palindrome (67244544544276).

The spelling of 44223413112032 in words is "forty-four trillion, two hundred twenty-three billion, four hundred thirteen million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 121 133 152 154 176 209 224 242 266 304 308 352 418 484 532 608 616 836 847 968 1064 1232 1463 1672 1694 1936 2128 2299 2464 2926 3344 3388 3872 4256 4598 5852 6688 6776 9196 11704 13552 16093 18392 23408 27104 32186 36784 46816 64372 73568 128744 257488 514976 85874707 171749414 343498828 601122949 686997656 944621777 1202245898 1373995312 1631619433 1889243554 2404491796 2747990624 3263238866 3778487108 4808983592 6526477732 6612352439 7556974216 9617967184 10390839547 11421336031 13052955464 13224704878 15113948432 17947813763 19235934368 20781679094 22842672062 26105910928 26449409756 30227896864 35895627526 41563358188 45685344124 52211821856 52898819512 71791255052 72735876829 83126716376 91370688248 105797639024 125634696341 143582510104 145471753658 166253432752 182741376496 197425951393 211595278048 251269392682 287165020208 290943507316 332506865504 365482752992 394851902786 502538785364 574330040416 581887014632 789703805572 1005077570728 1163774029264 1381981659751 1579407611144 2010155141456 2327548058528 2763963319502 3158815222288 4020310282912 5527926639004 6317630444576 11055853278008 22111706556016 44223413112032