Search a number
-
+
4034240144 = 241194124359
BaseRepresentation
bin1111000001110101…
…1001111010010000
3101102011010122002122
43300131121322100
531230231141034
61504151433412
7201654322034
oct36035317220
911364118078
104034240144
111790250370
12947085868
134c3a4c65c
142a3b081c4
1518928a62e
hexf0759e90

4034240144 has 40 divisors (see below), whose sum is σ = 8536328640. Its totient is φ = 1831721600.

The previous prime is 4034240137. The next prime is 4034240173. The reversal of 4034240144 is 4410424304.

It is a happy number.

4034240144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40342401442 = 32550187078922281472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153437 + ... + 177795.

It is an arithmetic number, because the mean of its divisors is an integer number (213408216).

Almost surely, 24034240144 is an apocalyptic number.

4034240144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4034240144 is an abundant number, since it is smaller than the sum of its proper divisors (4502088496).

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

4034240144 is a wasteful number, since it uses less digits than its factorization.

4034240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25319 (or 25313 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4034240144 is about 63515.6684921130. The cubic root of 4034240144 is about 1591.9175925122.

Adding to 4034240144 its reverse (4410424304), we get a palindrome (8444664448).

The spelling of 4034240144 in words is "four billion, thirty-four million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 941 1882 3764 7528 10351 15056 20702 24359 41404 48718 82808 97436 165616 194872 267949 389744 535898 1071796 2143592 4287184 22921819 45843638 91687276 183374552 252140009 366749104 504280018 1008560036 2017120072 4034240144