Search a number
-
+
4435040101413 = 3316119117412351
BaseRepresentation
bin100000010001001110011…
…1111010110010000100101
3120200222121120101122122210
41000202130333112100211
51040130430231221123
613233232421114033
7635264266600155
oct100423477262045
916628546348583
104435040101413
11145a987574869
125b7659b58919
132622b7a5b49c
1411492b08a765
157a573c05e93
hex4089cfd6425

4435040101413 has 64 divisors (see below), whose sum is σ = 6242928427008. Its totient is φ = 2796876000000.

The previous prime is 4435040101391. The next prime is 4435040101417. The reversal of 4435040101413 is 3141010405344.

It is not a de Polignac number, because 4435040101413 - 210 = 4435040100389 is a prime.

It is a super-2 number, since 2×44350401014132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4435040101417) 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 in 63 ways as a sum of consecutive naturals, for example, 1886447188 + ... + 1886449538.

It is an arithmetic number, because the mean of its divisors is an integer number (97545756672).

Almost surely, 24435040101413 is an apocalyptic number.

It is an amenable number.

4435040101413 is a deficient number, since it is larger than the sum of its proper divisors (1807888325595).

4435040101413 is a wasteful number, since it uses less digits than its factorization.

4435040101413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 4435040101413 its reverse (3141010405344), we get a palindrome (7576050506757).

The spelling of 4435040101413 in words is "four trillion, four hundred thirty-five billion, forty million, one hundred one thousand, four hundred thirteen".

Divisors: 1 3 31 61 93 183 191 573 1741 1891 2351 5223 5673 5921 7053 11651 17763 34953 53971 72881 106201 143411 161913 218643 318603 332531 361181 430233 449041 997593 1083543 1347123 3292231 4093091 4445741 9876693 10308461 12279273 13337223 13920271 20284391 27391501 30925383 41760813 60853173 82174503 126885821 249678551 380657463 628816121 749035653 781780381 849136531 1886448363 2345341143 2547409593 7740035081 23220105243 24235191811 47688603241 72705575433 143065809723 1478346700471 4435040101413