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4020450144 = 253413310133
BaseRepresentation
bin1110111110100011…
…0011001101100000
3101101012012000202220
43233220303031200
531213213401034
61502540111040
7201426155664
oct35750631540
911335160686
104020450144
111783491777
12942535480
134c0c319a9
142a1d588a4
15187e64749
hexefa33360

4020450144 has 48 divisors (see below), whose sum is σ = 10557276912. Its totient is φ = 1339693568.

The previous prime is 4020450143. The next prime is 4020450149. The reversal of 4020450144 is 4410540204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020450143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391702 + ... + 401834.

It is an arithmetic number, because the mean of its divisors is an integer number (219943269).

Almost surely, 24020450144 is an apocalyptic number.

It is an amenable number.

4020450144 is an abundant number, since it is smaller than the sum of its proper divisors (6536826768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4020450144 is a wasteful number, since it uses less digits than its factorization.

4020450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14279 (or 14271 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4020450144 is about 63407.0196744808. The cubic root of 4020450144 is about 1590.1016698565.

Adding to 4020450144 its reverse (4410540204), we get a palindrome (8430990348).

The spelling of 4020450144 in words is "four billion, twenty million, four hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4133 8266 10133 12399 16532 20266 24798 30399 33064 40532 49596 60798 66128 81064 99192 121596 132256 162128 198384 243192 324256 396768 486384 972768 41879689 83759378 125639067 167518756 251278134 335037512 502556268 670075024 1005112536 1340150048 2010225072 4020450144