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41332022031324 = 22319107224176551
BaseRepresentation
bin10010110010111010111000…
…11111011011001111011100
312102100022011200101012102210
421121131130133123033130
520404140440120000244
6223523400243120420
711464066015355133
oct1131353437331734
9172308150335383
1041332022031324
11121958a2a05362
12477650a673110
131a0a79294621b
14a2c6a286091a
154ba21a0314b9
hex25975c7db3dc

41332022031324 has 144 divisors (see below), whose sum is σ = 102532919973120. Its totient is φ = 12922911475200.

The previous prime is 41332022031241. The next prime is 41332022031331. The reversal of 41332022031324 is 42313022023314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41332022031291 and 41332022031300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6309265849 + ... + 6309272399.

It is an arithmetic number, because the mean of its divisors is an integer number (712034166480).

Almost surely, 241332022031324 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 41332022031324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51266459986560).

41332022031324 is an abundant number, since it is smaller than the sum of its proper divisors (61200897941796).

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

41332022031324 is a wasteful number, since it uses less digits than its factorization.

41332022031324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9208 (or 9099 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 41332022031324 its reverse (42313022023314), we get a palindrome (83645044054638).

The spelling of 41332022031324 in words is "forty-one trillion, three hundred thirty-two billion, twenty-two million, thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 114 214 228 321 428 642 1284 2033 2417 4066 4834 6099 6551 7251 8132 9668 11449 12198 13102 14502 19653 22898 24396 26204 29004 34347 39306 45796 45923 68694 78612 91846 124469 137388 137769 183692 217531 248938 258619 275538 373407 435062 497876 517238 551076 652593 700957 746814 775857 870124 1034476 1305186 1401914 1493628 1551714 2102871 2610372 2803828 3103428 4205742 4913761 8411484 9827522 13318183 14741283 15833767 19655044 26636366 27672233 29482566 31667534 39954549 47501301 53272732 55344466 58965132 63335068 75002399 79909098 83016699 95002602 110688932 150004798 159818196 166033398 190005204 225007197 300009596 300841573 332066796 450014394 525772427 601683146 900028788 902524719 1051544854 1203366292 1425045581 1577317281 1694213069 1805049438 2103089708 2850091162 3154634562 3388426138 3610098876 4275136743 5082639207 5700182324 6309269124 6776852276 8550273486 10165278414 17100546972 20330556828 32190048311 64380096622 96570144933 128760193244 181280798383 193140289866 362561596766 386280579732 543842395149 725123193532 1087684790298 2175369580596 3444335169277 6888670338554 10333005507831 13777340677108 20666011015662 41332022031324