Search a number
-
+
8381941340049 = 3219137857417491
BaseRepresentation
bin111100111111001001010…
…1000101101011110010001
31002200022020220101210111200
41321332102220231132101
52044312203440340144
625454335524301413
71523401214561664
oct171762250553621
932608226353450
108381941340049
112741841408082
12b34587241869
1348a54bb03ba4
1420d98c3056db
15e8078269c69
hex79f92a2d791

8381941340049 has 48 divisors (see below), whose sum is σ = 12852507919680. Its totient is φ = 5249071710720.

The previous prime is 8381941340023. The next prime is 8381941340051. The reversal of 8381941340049 is 9400431491838.

8381941340049 is a `hidden beast` number, since 8 + 3 + 8 + 194 + 1 + 3 + 400 + 49 = 666.

It is not a de Polignac number, because 8381941340049 - 212 = 8381941335953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8381941339977 and 8381941340004.

It is not an unprimeable number, because it can be changed into a prime (8381941340249) 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, 19868194 + ... + 20285684.

It is an arithmetic number, because the mean of its divisors is an integer number (267760581660).

Almost surely, 28381941340049 is an apocalyptic number.

It is an amenable number.

8381941340049 is a deficient number, since it is larger than the sum of its proper divisors (4470566579631).

8381941340049 is a wasteful number, since it uses less digits than its factorization.

8381941340049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418510 (or 418507 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 8381941340049 in words is "eight trillion, three hundred eighty-one billion, nine hundred forty-one million, three hundred forty thousand, forty-nine".

Divisors: 1 3 9 19 57 137 171 411 857 1233 2571 2603 7713 7809 16283 23427 48849 117409 146547 352227 417491 1056681 1252473 2230771 3757419 6692313 7932329 20076939 23796987 57196267 71390961 171588801 357789787 514766403 1073369361 1086729073 3220108083 3260187219 6798005953 9780561657 20394017859 49017200819 61182053577 147051602457 441154807371 931326815561 2793980446683 8381941340049