Search a number
-
+
40445764926432 = 2531919029244303
BaseRepresentation
bin10010011001001000000110…
…11100110111101111100000
312022012120120220021112011120
421030210003130313233200
520300130411310121212
6222004310005412240
711343052521310155
oct1114440334675740
9168176526245146
1040445764926432
1111983a52978018
1246527b0a0a080
131975033439718
149db82a74622c
154a214929d88c
hex24c903737be0

40445764926432 has 96 divisors (see below), whose sum is σ = 106738254766080. Its totient is φ = 13409795412480.

The previous prime is 40445764926403. The next prime is 40445764926451. The reversal of 40445764926432 is 23462946754404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165433593 + ... + 165677895.

It is an arithmetic number, because the mean of its divisors is an integer number (1111856820480).

Almost surely, 240445764926432 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 40445764926432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53369127383040).

40445764926432 is an abundant number, since it is smaller than the sum of its proper divisors (66292489839648).

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

40445764926432 is a wasteful number, since it uses less digits than its factorization.

40445764926432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253536 (or 253528 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 60.

The spelling of 40445764926432 in words is "forty trillion, four hundred forty-five billion, seven hundred sixty-four million, nine hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 2292 3056 4584 6112 9029 9168 18058 18336 27087 36116 54174 72232 108348 144464 216696 244303 288928 433392 488606 732909 866784 977212 1465818 1724539 1954424 2931636 3449078 3908848 5173617 5863272 6898156 7817696 10347234 11726544 13796312 20694468 23453088 27592624 41388936 46661873 55185248 82777872 93323746 139985619 165555744 186647492 279971238 373294984 559942476 746589968 1119884952 1493179936 2205811787 2239769904 4411623574 4479539808 6617435361 8823247148 13234870722 17646494296 26469741444 35292988592 52939482888 70585977184 105878965776 211757931552 421310051317 842620102634 1263930153951 1685240205268 2527860307902 3370480410536 5055720615804 6740960821072 10111441231608 13481921642144 20222882463216 40445764926432