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40132040260644 = 22326729995548013
BaseRepresentation
bin10010001111111111110000…
…00000001111110000100100
312021002120210212222020101100
421013333320000033300210
520230010404301320034
6221204223233200100
711311305240534603
oct1107777000176044
9167076725866340
1040132040260644
11118729a253a222
124601a37100030
1319515870719c7
149ca58891da3a
15498dd6c47099
hex247ff800fc24

40132040260644 has 72 divisors (see below), whose sum is σ = 102993331896000. Its totient is φ = 13173288460992.

The previous prime is 40132040260639. The next prime is 40132040260687. The reversal of 40132040260644 is 44606204023104.

40132040260644 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 2 + 0 + 4 + 0 + 2 + 6 + 0 + 644 = 666.

It is a super-2 number, since 2×401320402606442 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40132040260599 and 40132040260608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4459582 + ... + 10007594.

It is an arithmetic number, because the mean of its divisors is an integer number (1430462943000).

Almost surely, 240132040260644 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 40132040260644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51496665948000).

40132040260644 is an abundant number, since it is smaller than the sum of its proper divisors (62861291635356).

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

40132040260644 is a wasteful number, since it uses less digits than its factorization.

40132040260644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551089 (or 5551084 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 40132040260644 its reverse (44606204023104), we get a palindrome (84738244283748).

The spelling of 40132040260644 in words is "forty trillion, one hundred thirty-two billion, forty million, two hundred sixty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 2999 5998 8997 11996 17994 26991 35988 53982 107964 200933 401866 602799 803732 1205598 1808397 2411196 3616794 5548013 7233588 11096026 16644039 22192052 33288078 49932117 66576156 99864234 199728468 371716871 743433742 1115150613 1486867484 2230301226 3345451839 4460602452 6690903678 13381807356 16638490987 33276981974 49915472961 66553963948 99830945922 149746418883 199661891844 299492837766 598985675532 1114778896129 2229557792258 3344336688387 4459115584516 6688673376774 10033010065161 13377346753548 20066020130322 40132040260644