Search a number
-
+
34001640466605 = 3257153597027913
BaseRepresentation
bin1111011101100100111111…
…01100111010100010101101
311110101112011210012210112200
413232302133230322202231
513424040324424412410
6200152045450052113
710106352230212650
oct756623754724255
9143345153183480
1034001640466605
11a91a018693549
1239918b471a039
1315c845806b786
1485798c515897
153de6d9cc83c0
hex1eec9fb3a8ad

34001640466605 has 48 divisors (see below), whose sum is σ = 67360025640960. Its totient is φ = 15542592839424.

The previous prime is 34001640466603. The next prime is 34001640466627. The reversal of 34001640466605 is 50666404610043.

It is not a de Polignac number, because 34001640466605 - 21 = 34001640466603 is a prime.

It is a super-2 number, since 2×340016404666052 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001640466603) 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, 1324129 + ... + 8352041.

It is an arithmetic number, because the mean of its divisors is an integer number (1403333867520).

Almost surely, 234001640466605 is an apocalyptic number.

34001640466605 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34001640466605 is a deficient number, since it is larger than the sum of its proper divisors (33358385174355).

34001640466605 is a wasteful number, since it uses less digits than its factorization.

34001640466605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043290 (or 7043287 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 34001640466605 in words is "thirty-four trillion, one billion, six hundred forty million, four hundred sixty-six thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 15359 46077 76795 107513 138231 230385 322539 537565 691155 967617 1612695 4838085 7027913 21083739 35139565 49195391 63251217 105418695 147586173 245976955 316256085 442758519 737930865 2213792595 107941715767 323825147301 539708578835 755592010369 971475441903 1619125736505 2266776031107 3777960051845 4857377209515 6800328093321 11333880155535 34001640466605