Search a number
-
+
40347662047153 is a prime number
BaseRepresentation
bin10010010110010001011000…
…00100000101011110110001
312021212012100221101220022021
421023020230010011132301
520242024002441002103
6221451243212311441
711333010451506646
oct1113105404053661
9167765327356267
1040347662047153
111194639040088a
124637792472581
1319689ca993126
149d6ba163ddcd
1549e8068a3bbd
hex24b22c1057b1

40347662047153 has 2 divisors, whose sum is σ = 40347662047154. Its totient is φ = 40347662047152.

The previous prime is 40347662047141. The next prime is 40347662047157. The reversal of 40347662047153 is 35174026674304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25691689277809 + 14655972769344 = 5068697^2 + 3828312^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40347662047153 is a prime.

It is a super-2 number, since 2×403476620471532 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40347662047153.

It is not a weakly prime, because it can be changed into another prime (40347662047157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20173831023576 + 20173831023577.

It is an arithmetic number, because the mean of its divisors is an integer number (20173831023577).

Almost surely, 240347662047153 is an apocalyptic number.

It is an amenable number.

40347662047153 is a deficient number, since it is larger than the sum of its proper divisors (1).

40347662047153 is an equidigital number, since it uses as much as digits as its factorization.

40347662047153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10160640, while the sum is 52.

The spelling of 40347662047153 in words is "forty trillion, three hundred forty-seven billion, six hundred sixty-two million, forty-seven thousand, one hundred fifty-three".