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420432145630 = 25725934134261
BaseRepresentation
bin1100001111000111011…
…01010110110011011110
31111012012122020220121021
412013203231112303132
523342021112130010
6521051023554354
742242462162500
oct6074355266336
91435178226537
10420432145630
11152338a92872
1269595a5b9ba
1330853701043
14164c5a19d70
15ae0a5778da
hex61e3b56cde

420432145630 has 96 divisors (see below), whose sum is σ = 895726810080. Its totient is φ = 141630209280.

The previous prime is 420432145613. The next prime is 420432145667. The reversal of 420432145630 is 36541234024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98667700 + ... + 98671960.

It is an arithmetic number, because the mean of its divisors is an integer number (9330487605).

Almost surely, 2420432145630 is an apocalyptic number.

420432145630 is an abundant number, since it is smaller than the sum of its proper divisors (475294664450).

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

420432145630 is a wasteful number, since it uses less digits than its factorization.

420432145630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754 (or 7747 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 420432145630 its reverse (36541234024), we get a palindrome (456973379654).

The spelling of 420432145630 in words is "four hundred twenty billion, four hundred thirty-two million, one hundred forty-five thousand, six hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 59 70 98 118 245 295 413 490 590 826 2065 2891 3413 4130 4261 5782 6826 8522 14455 17065 21305 23891 28910 29827 34130 42610 47782 59654 119455 149135 167237 201367 208789 238910 251399 298270 334474 402734 417578 502798 836185 1006835 1043945 1256995 1409569 1672370 1759793 2013670 2087890 2513990 2819138 3519586 7047845 8798965 9866983 12318551 14095690 14542793 17597930 19733966 24637102 29085586 49334915 61592755 72713965 98669830 101799551 123185510 145427930 203599102 508997755 712596857 858024787 1017995510 1425193714 1716049574 3562984285 4290123935 6006173509 7125968570 8580247870 12012347018 30030867545 42043214563 60061735090 84086429126 210216072815 420432145630