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41033130424 = 2311135321132
BaseRepresentation
bin100110001101110000…
…111110000110111000
310220220200002000000021
4212031300332012320
51133013440133144
630503402220224
72651560565566
oct461560760670
9126820060007
1041033130424
1116447150240
127b51ab4674
133b3c11c540
141db38a0a36
15110255e884
hex98dc3e1b8

41033130424 has 144 divisors (see below), whose sum is σ = 92947753080. Its totient is φ = 16742369280.

The previous prime is 41033130407. The next prime is 41033130431. The reversal of 41033130424 is 42403133014.

41033130424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363124992 + ... + 363125104.

Almost surely, 241033130424 is an apocalyptic number.

41033130424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41033130424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46473876540).

41033130424 is an abundant number, since it is smaller than the sum of its proper divisors (51914622656).

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

41033130424 is a wasteful number, since it uses less digits than its factorization.

41033130424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 41033130424 its reverse (42403133014), we get a palindrome (83436263438).

The spelling of 41033130424 in words is "forty-one billion, thirty-three million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 53 88 104 106 113 143 212 226 286 424 452 572 583 689 904 1144 1166 1243 1378 1469 2332 2486 2756 2809 2938 4664 4972 5512 5618 5876 5989 7579 9944 11236 11752 11978 12769 15158 16159 22472 23956 25538 30316 30899 32318 36517 47912 51076 60632 61798 64636 65879 73034 77857 102152 123596 129272 131758 140459 146068 155714 165997 247192 263516 280918 292136 311428 317417 331994 401687 527032 561836 622856 634834 663988 676757 803374 856427 1123672 1269668 1327976 1353514 1606748 1712854 1825967 2539336 2707028 3213496 3425708 3491587 3651934 4126421 5414056 6851416 6983174 7303868 7444327 8252842 8797841 13966348 14607736 14888654 16505684 17595682 27932696 29777308 33011368 35191364 35868121 45390631 59554616 70382728 71736242 90781262 96776251 143472484 181562524 193552502 286944968 363125048 387105004 394549331 466285573 774210008 789098662 932571146 1578197324 1865142292 3156394648 3730284584 5129141303 10258282606 20516565212 41033130424