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4361121024 = 28313436811
BaseRepresentation
bin1000000111111000…
…10110110100000000
3102020221012220100220
410003330112310000
532412421333044
62000425543040
7213033626361
oct40374266400
912227186326
104361121024
111938814857
12a18644a80
1354669c7b0
142d52b7b68
151a7d09019
hex103f16d00

4361121024 has 72 divisors (see below), whose sum is σ = 12499812192. Its totient is φ = 1341880320.

The previous prime is 4361121001. The next prime is 4361121029. The reversal of 4361121024 is 4201211634.

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

It is a junction number, because it is equal to n+sod(n) for n = 4361120985 and 4361121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4361121029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208422 + ... + 228389.

Almost surely, 24361121024 is an apocalyptic number.

It is an amenable number.

4361121024 is an abundant number, since it is smaller than the sum of its proper divisors (8138691168).

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

4361121024 is a wasteful number, since it uses less digits than its factorization.

4361121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436843 (or 436829 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4361121024 is about 66038.7842407778. The cubic root of 4361121024 is about 1633.8018353748.

Adding to 4361121024 its reverse (4201211634), we get a palindrome (8562332658).

The spelling of 4361121024 in words is "four billion, three hundred sixty-one million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 436811 873622 1310433 1747244 2620866 3494488 5241732 5678543 6988976 10483464 11357086 13977952 17035629 20966928 22714172 27955904 34071258 41933856 45428344 55911808 68142516 83867712 90856688 111823616 136285032 167735424 181713376 272570064 335470848 363426752 545140128 726853504 1090280256 1453707008 2180560512 4361121024