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40905389328 = 2433183331207
BaseRepresentation
bin100110000110001001…
…101011010100010000
310220120202201002011120
4212012021223110100
51132233234424303
630443000242240
72645450033556
oct460611532420
9126522632146
1040905389328
1116391031491
127b17170380
133b1b814cab
141da092bbd6
1510e622a553
hex98626b510

40905389328 has 80 divisors (see below), whose sum is σ = 110395600896. Its totient is φ = 13036268160.

The previous prime is 40905389321. The next prime is 40905389339. The reversal of 40905389328 is 82398350904.

It is not an unprimeable number, because it can be changed into a prime (40905389321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42100 + ... + 289107.

Almost surely, 240905389328 is an apocalyptic number.

40905389328 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 40905389328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55197800448).

40905389328 is an abundant number, since it is smaller than the sum of its proper divisors (69490211568).

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

40905389328 is a wasteful number, since it uses less digits than its factorization.

40905389328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331332 (or 331326 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 40905389328 in words is "forty billion, nine hundred five million, three hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 83 93 124 166 186 248 249 332 372 496 498 664 744 996 1328 1488 1992 2573 3984 5146 7719 10292 15438 20584 30876 41168 61752 123504 331207 662414 993621 1324828 1987242 2649656 3974484 5299312 7948968 10267417 15897936 20534834 27490181 30802251 41069668 54980362 61604502 82139336 82470543 109960724 123209004 164278672 164941086 219921448 246418008 329882172 439842896 492836016 659764344 852195611 1319528688 1704391222 2556586833 3408782444 5113173666 6817564888 10226347332 13635129776 20452694664 40905389328