Search a number
-
+
4022024101407 = 321347731410093
BaseRepresentation
bin111010100001110011010…
…100010101111000011111
3112020111112202220222022200
4322201303110111320133
51011344101132221112
612315405314542543
7563403335532234
oct72416324257037
915214482828280
104022024101407
111310804829a74
1254b5b3897a53
132323769388c0
14dc94a39578b
156e94e799cdc
hex3a873515e1f

4022024101407 has 24 divisors (see below), whose sum is σ = 6389598581184. Its totient is φ = 2422430224704.

The previous prime is 4022024101397. The next prime is 4022024101429. The reversal of 4022024101407 is 7041014202204.

4022024101407 is a `hidden beast` number, since 4 + 0 + 2 + 202 + 410 + 1 + 40 + 7 = 666.

It is not a de Polignac number, because 4022024101407 - 26 = 4022024101343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022024101307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365699548 + ... + 365710545.

It is an arithmetic number, because the mean of its divisors is an integer number (266233274216).

Almost surely, 24022024101407 is an apocalyptic number.

4022024101407 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

4022024101407 is a deficient number, since it is larger than the sum of its proper divisors (2367574479777).

4022024101407 is a wasteful number, since it uses less digits than its factorization.

4022024101407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731410159 (or 731410156 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 4022024101407 in words is "four trillion, twenty-two billion, twenty-four million, one hundred one thousand, four hundred seven".

Divisors: 1 3 9 13 39 47 117 141 423 611 1833 5499 731410093 2194230279 6582690837 9508331209 28524993627 34376274371 85574980881 103128823113 309386469339 446891566823 1340674700469 4022024101407