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4122003440 = 245127405709
BaseRepresentation
bin1111010110110000…
…1100011111110000
3101122021021110201002
43311230030133300
531420213102230
61521004501132
7204101310512
oct36554143760
911567243632
104122003440
111825844215
1297054a7a8
13508c9a4b9
142b1631bb2
15191d24545
hexf5b0c7f0

4122003440 has 40 divisors (see below), whose sum is σ = 9659143680. Its totient is φ = 1635814656.

The previous prime is 4122003437. The next prime is 4122003449. The reversal of 4122003440 is 443002214.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122003449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192695 + ... + 213014.

It is an arithmetic number, because the mean of its divisors is an integer number (241478592).

Almost surely, 24122003440 is an apocalyptic number.

4122003440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122003440 is an abundant number, since it is smaller than the sum of its proper divisors (5537140240).

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

4122003440 is a wasteful number, since it uses less digits than its factorization.

4122003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405849 (or 405843 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4122003440 is about 64202.8304671998. The cubic root of 4122003440 is about 1603.3787246982.

Adding to 4122003440 its reverse (443002214), we get a palindrome (4565005654).

The spelling of 4122003440 in words is "four billion, one hundred twenty-two million, three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 405709 811418 1622836 2028545 3245672 4057090 6491344 8114180 16228360 32456720 51525043 103050086 206100172 257625215 412200344 515250430 824400688 1030500860 2061001720 4122003440