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424404120100 = 225219136776043
BaseRepresentation
bin1100010110100000111…
…01001111001000100100
31111120110110020010020211
412023100131033020210
523423134423320400
6522545113105204
742443062333132
oct6132035171044
91446413203224
10424404120100
11153a97074aa4
126a3040b8204
133103758c3ac
1416781356752
15b08e113dba
hex62d074f224

424404120100 has 72 divisors (see below), whose sum is σ = 926183720448. Its totient is φ = 168798979200.

The previous prime is 424404120073. The next prime is 424404120139. The reversal of 424404120100 is 1021404424.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 70227679 + ... + 70233721.

It is an arithmetic number, because the mean of its divisors is an integer number (12863662784).

Almost surely, 2424404120100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424404120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463091860224).

424404120100 is an abundant number, since it is smaller than the sum of its proper divisors (501779600348).

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

424404120100 is a wasteful number, since it uses less digits than its factorization.

424404120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9925 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 424404120100 its reverse (1021404424), we get a palindrome (425425524524).

The spelling of 424404120100 in words is "four hundred twenty-four billion, four hundred four million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 3677 3820 4775 6043 7354 9550 12086 14708 18385 19100 24172 30215 36770 60430 73540 91925 120860 151075 183850 302150 367700 604300 702307 1154213 1404614 2308426 2809228 3511535 4616852 5771065 7023070 11542130 14046140 17557675 22220111 23084260 28855325 35115350 44440222 57710650 70230700 88880444 111100555 115421300 222201110 444402220 555502775 1111005550 2222011100 4244041201 8488082402 16976164804 21220206005 42440412010 84880824020 106101030025 212202060050 424404120100