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40441301031330 = 23252916229954757
BaseRepresentation
bin10010011000111111110010…
…11000011101100110100010
312022012011001210200011021100
421030133321120131212202
520300042241031000310
6222002251024535230
711342534065652553
oct1114377130354642
9168164053604240
1040441301031330
1111982072147611
124651965a81516
1319747a1694884
149db52595832a
154a1e87442ec0
hex24c7f961d9a2

40441301031330 has 96 divisors (see below), whose sum is σ = 108779970826800. Its totient is φ = 10411820407296.

The previous prime is 40441301031293. The next prime is 40441301031331. The reversal of 40441301031330 is 3313010314404.

40441301031330 is a `hidden beast` number, since 4 + 0 + 4 + 41 + 301 + 0 + 313 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24004933667289 + 16436367364041 = 4899483^2 + 4054179^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40441301031294 and 40441301031303.

It is not an unprimeable number, because it can be changed into a prime (40441301031331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41880312 + ... + 42835068.

Almost surely, 240441301031330 is an apocalyptic number.

40441301031330 is an abundant number, since it is smaller than the sum of its proper divisors (68338669795470).

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

40441301031330 is a wasteful number, since it uses less digits than its factorization.

40441301031330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971028 (or 971025 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 40441301031330 its reverse (3313010314404), we get a palindrome (43754311345734).

The spelling of 40441301031330 in words is "forty trillion, four hundred forty-one billion, three hundred one million, thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 16229 32458 48687 81145 97374 146061 162290 243435 292122 470641 486870 730305 941282 954757 1411923 1460610 1909514 2353205 2823846 2864271 4235769 4706410 4773785 5728542 7059615 8471538 8592813 9547570 14119230 14321355 17185626 21178845 27687953 28642710 42357690 42964065 55375906 83063859 85928130 138439765 166127718 249191577 276879530 415319295 498383154 830638590 1245957885 2491915770 15494751353 30989502706 46484254059 77473756765 92968508118 139452762177 154947513530 232421270295 278905524354 449347789237 464842540590 697263810885 898695578474 1348043367711 1394527621770 2246738946185 2696086735422 4044130103133 4493477892370 6740216838555 8088260206266 13480433677110 20220650515665 40441301031330