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40202000241 = 313791272809
BaseRepresentation
bin100101011100001110…
…011101011101110001
310211202202011012201220
4211130032131131301
51124313203001431
630245112215253
72622146235534
oct453416353561
9124682135656
1040202000241
111605aa87897
12795b69a529
133a38b8a130
141d35350a1b
1510a45d8b96
hex95c39d771

40202000241 has 48 divisors (see below), whose sum is σ = 58993401600. Its totient is φ = 24204241152.

The previous prime is 40202000233. The next prime is 40202000261. The reversal of 40202000241 is 14200020204.

It is not a de Polignac number, because 40202000241 - 23 = 40202000233 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40202000241.

It is not an unprimeable number, because it can be changed into a prime (40202000261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49693045 + ... + 49693853.

It is an arithmetic number, because the mean of its divisors is an integer number (1229029200).

Almost surely, 240202000241 is an apocalyptic number.

It is an amenable number.

40202000241 is a deficient number, since it is larger than the sum of its proper divisors (18791401359).

40202000241 is a wasteful number, since it uses less digits than its factorization.

40202000241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 40202000241 its reverse (14200020204), we get a palindrome (54402020445).

The spelling of 40202000241 in words is "forty billion, two hundred two million, two hundred forty-one", and thus it is an aban number.

Divisors: 1 3 13 39 79 127 237 381 809 1027 1651 2427 3081 4953 10033 10517 16129 30099 31551 48387 63911 102743 130429 191733 209677 308229 391287 629031 830843 1274191 1335659 2492529 3822573 4006977 8116697 13048361 16564483 24350091 39145083 49693449 105517061 169628693 316551183 508886079 1030820519 3092461557 13400666747 40202000241