Search a number
-
+
41303005488 = 24363899103
BaseRepresentation
bin100110011101110110…
…011101100100110000
310221121110220002000000
4212131312131210300
51134042032133423
630550242430000
72661345516423
oct463566354460
9127543802000
1041303005488
1116575519388
128008362300
133b83000524
141ddb6719ba
15111b0bc843
hex99dd9d930

41303005488 has 140 divisors (see below), whose sum is σ = 120303624480. Its totient is φ = 13730767488.

The previous prime is 41303005453. The next prime is 41303005489. The reversal of 41303005488 is 88450030314.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41303005489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4532745 + ... + 4541847.

Almost surely, 241303005488 is an apocalyptic number.

41303005488 is a gapful number since it is divisible by the number (48) 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 41303005488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60151812240).

41303005488 is an abundant number, since it is smaller than the sum of its proper divisors (79000618992).

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

41303005488 is an equidigital number, since it uses as much as digits as its factorization.

41303005488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9518 (or 9497 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 41303005488 in words is "forty-one billion, three hundred three million, five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 389 432 486 648 729 778 972 1167 1296 1458 1556 1944 2334 2916 3112 3501 3888 4668 5832 6224 7002 9103 9336 10503 11664 14004 18206 18672 21006 27309 28008 31509 36412 42012 54618 56016 63018 72824 81927 84024 94527 109236 126036 145648 163854 168048 189054 218472 245781 252072 283581 327708 378108 436944 491562 504144 567162 655416 737343 756216 983124 1134324 1310832 1474686 1512432 1966248 2212029 2268648 2949372 3541067 3932496 4424058 4537296 5898744 6636087 7082134 8848116 10623201 11797488 13272174 14164268 17696232 21246402 26544348 28328536 31869603 35392464 42492804 53088696 56657072 63739206 84985608 95608809 106177392 127478412 169971216 191217618 254956824 286826427 382435236 509913648 573652854 764870472 860479281 1147305708 1529740944 1720958562 2294611416 2581437843 3441917124 4589222832 5162875686 6883834248 10325751372 13767668496 20651502744 41303005488