Search a number
-
+
414071071281 = 3376732699287
BaseRepresentation
bin1100000011010001000…
…11110010001000110001
31110120210022202212001000
412001220203302020301
523241004143240111
6514115512032213
741626032014310
oct6015043621061
91416708685030
10414071071281
1114a67436352a
12682bb692669
133007b8a251a
1416080c9a277
15ab86db9c56
hex60688f2231

414071071281 has 32 divisors (see below), whose sum is σ = 711536506880. Its totient is φ = 233080510608.

The previous prime is 414071071273. The next prime is 414071071303. The reversal of 414071071281 is 182170170414.

It is not a de Polignac number, because 414071071281 - 23 = 414071071273 is a prime.

It is a super-2 number, since 2×4140710712812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414071071201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16336981 + ... + 16362306.

It is an arithmetic number, because the mean of its divisors is an integer number (22235515840).

Almost surely, 2414071071281 is an apocalyptic number.

It is an amenable number.

414071071281 is a deficient number, since it is larger than the sum of its proper divisors (297465435599).

414071071281 is a wasteful number, since it uses less digits than its factorization.

414071071281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32699370 (or 32699364 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 414071071281 in words is "four hundred fourteen billion, seventy-one million, seventy-one thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 27 63 67 189 201 469 603 1407 1809 4221 12663 32699287 98097861 228895009 294293583 686685027 882880749 2060055081 2190852229 6180165243 6572556687 15335965603 19717670061 46007896809 59153010183 138023690427 414071071281