Search a number
-
+
34421486461 = 293141991381
BaseRepresentation
bin100000000011101011…
…100011001101111101
310021211220002200112221
4200003223203031331
51030443400031321
623451335525341
72325665543635
oct400353431575
9107756080487
1034421486461
111366403927a
126807829851
13332740bc8b
1419477576c5
15d66da8e41
hex803ae337d

34421486461 has 16 divisors (see below), whose sum is σ = 36845222400. Its totient is φ = 32085345600.

The previous prime is 34421486459. The next prime is 34421486507. The reversal of 34421486461 is 16468412443.

34421486461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34421486461 - 21 = 34421486459 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34421486431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330991 + ... + 422371.

It is an arithmetic number, because the mean of its divisors is an integer number (2302826400).

Almost surely, 234421486461 is an apocalyptic number.

34421486461 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34421486461 is a deficient number, since it is larger than the sum of its proper divisors (2423735939).

34421486461 is a wasteful number, since it uses less digits than its factorization.

34421486461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91860.

The product of its digits is 442368, while the sum is 43.

The spelling of 34421486461 in words is "thirty-four billion, four hundred twenty-one million, four hundred eighty-six thousand, four hundred sixty-one".

Divisors: 1 29 31 419 899 12151 12989 91381 376681 2650049 2832811 38288639 82151519 1110370531 1186947809 34421486461