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40541062432 = 25131921132389
BaseRepresentation
bin100101110000011011…
…111000010100100000
310212122101011100121211
4211300123320110200
51131012002444212
630342503355504
72633434226203
oct456033702440
9125571140554
1040541062432
1116214411282
127a35152b94
133a911b3950
141d683b193a
1510c42619a7
hex9706f8520

40541062432 has 144 divisors (see below), whose sum is σ = 91558003320. Its totient is φ = 17562230784.

The previous prime is 40541062423. The next prime is 40541062439. The reversal of 40541062432 is 23426014504.

It can be written as a sum of positive squares in 4 ways, for example, as 9746428176 + 30794634256 = 98724^2 + 175484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40541062394 and 40541062403.

It is not an unprimeable number, because it can be changed into a prime (40541062439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16968694 + ... + 16971082.

Almost surely, 240541062432 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 40541062432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45779001660).

40541062432 is an abundant number, since it is smaller than the sum of its proper divisors (51016940888).

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

40541062432 is a wasteful number, since it uses less digits than its factorization.

40541062432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 40541062432 its reverse (23426014504), we get a palindrome (63967076936).

The spelling of 40541062432 in words is "forty billion, five hundred forty-one million, sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 113 152 208 226 247 304 361 416 452 494 608 722 904 988 1444 1469 1808 1976 2147 2389 2888 2938 3616 3952 4294 4693 4778 5776 5876 7904 8588 9386 9556 11552 11752 17176 18772 19112 23504 27911 31057 34352 37544 38224 40793 45391 47008 55822 62114 68704 75088 76448 81586 90782 111644 124228 150176 163172 181564 223288 248456 269957 326344 363128 446576 496912 530309 539914 590083 652688 726256 862429 893152 993824 1060618 1079828 1180166 1305376 1452512 1724858 2121236 2159656 2360332 3449716 3509441 4242472 4319312 4720664 5129183 6899432 7018882 8484944 8638624 9441328 10258366 11211577 13798864 14037764 16969888 18882656 20516732 22423154 27597728 28075528 41033464 44846308 56151056 66679379 82066928 89692616 97454477 112302112 133358758 164133856 179385232 194908954 266717516 358770464 389817908 533435032 779635816 1066870064 1266908201 1559271632 2133740128 2533816402 3118543264 5067632804 10135265608 20270531216 40541062432