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423330401000 = 235313311104707
BaseRepresentation
bin1100010100100000111…
…01010100101011101000
31111110200121211112112202
412022100131110223220
523413440040313000
6522250355355332
742404344015553
oct6122035245350
91443617745482
10423330401000
11153595a7aa41
126a0645b2b48
1330bc5cb0950
14166bc8d969a
15b029c1edd5
hex6290754ae8

423330401000 has 128 divisors (see below), whose sum is σ = 1070233032960. Its totient is φ = 155802528000.

The previous prime is 423330400973. The next prime is 423330401063. The reversal of 423330401000 is 104033324.

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

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 31 ways as a sum of consecutive naturals, for example, 3990647 + ... + 4095353.

It is an arithmetic number, because the mean of its divisors is an integer number (8361195570).

Almost surely, 2423330401000 is an apocalyptic number.

423330401000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423330401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535116516480).

423330401000 is an abundant number, since it is smaller than the sum of its proper divisors (646902631960).

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

423330401000 is a wasteful number, since it uses less digits than its factorization.

423330401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105052 (or 105038 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 423330401000 its reverse (104033324), we get a palindrome (423434434324).

The spelling of 423330401000 in words is "four hundred twenty-three billion, three hundred thirty million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 311 325 500 520 622 650 1000 1244 1300 1555 1625 2488 2600 3110 3250 4043 6220 6500 7775 8086 12440 13000 15550 16172 20215 31100 32344 38875 40430 62200 77750 80860 101075 104707 155500 161720 202150 209414 311000 404300 418828 505375 523535 808600 837656 1010750 1047070 1361191 2021500 2094140 2617675 2722382 4043000 4188280 5235350 5444764 6805955 10470700 10889528 13088375 13611910 20941400 26176750 27223820 32563877 34029775 52353500 54447640 65127754 68059550 104707000 130255508 136119100 162819385 170148875 260511016 272238200 325638770 340297750 423330401 651277540 680595500 814096925 846660802 1302555080 1361191000 1628193850 1693321604 2116652005 3256387700 3386643208 4070484625 4233304010 6512775400 8140969250 8466608020 10583260025 16281938500 16933216040 21166520050 32563877000 42333040100 52916300125 84666080200 105832600250 211665200500 423330401000