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402424310000 = 245465361627
BaseRepresentation
bin1011101101100100101…
…10111010100011110000
31102110201122100002010002
411312302112322203300
523043131110410000
6504512101325132
741034310124126
oct5666226724360
91373648302102
10402424310000
11145738039389
1265bab1067a8
132bc439890bb
141569814d916
15a7046728d5
hex5db25ba8f0

402424310000 has 100 divisors (see below), whose sum is σ = 975817382232. Its totient is φ = 160720608000.

The previous prime is 402424309951. The next prime is 402424310021. The reversal of 402424310000 is 13424204.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×4024243100002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6499187 + ... + 6560813.

Almost surely, 2402424310000 is an apocalyptic number.

402424310000 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 402424310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487908691116).

402424310000 is an abundant number, since it is smaller than the sum of its proper divisors (573393072232).

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

402424310000 is an equidigital number, since it uses as much as digits as its factorization.

402424310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62308 (or 62287 counting only the distinct ones).

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

Adding to 402424310000 its reverse (13424204), we get a palindrome (402437734204).

The spelling of 402424310000 in words is "four hundred two billion, four hundred twenty-four million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 653 1000 1250 1306 2000 2500 2612 3265 5000 5224 6530 10000 10448 13060 16325 26120 32650 52240 61627 65300 81625 123254 130600 163250 246508 261200 308135 326500 408125 493016 616270 653000 816250 986032 1232540 1306000 1540675 1632500 2465080 3081350 3265000 4930160 6162700 6530000 7703375 12325400 15406750 24650800 30813500 38516875 40242431 61627000 77033750 80484862 123254000 154067500 160969724 201212155 308135000 321939448 402424310 616270000 643878896 804848620 1006060775 1609697240 2012121550 3219394480 4024243100 5030303875 8048486200 10060607750 16096972400 20121215500 25151519375 40242431000 50303038750 80484862000 100606077500 201212155000 402424310000