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420200430144 = 26311198958537
BaseRepresentation
bin1100001110101011110…
…01011011101001000000
31111011121111020112201020
412013111321123221000
523341032302231034
6521012025305440
742233646503235
oct6072571335100
91434544215636
10420200430144
1115222a208570
1269530335280
13308176c0ca1
14164a2d3d78c
15ade5056249
hex61d5e5ba40

420200430144 has 56 divisors (see below), whose sum is σ = 1212851247648. Its totient is φ = 127333463040.

The previous prime is 420200430119. The next prime is 420200430179. The reversal of 420200430144 is 441034002024.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99477157 + ... + 99481380.

Almost surely, 2420200430144 is an apocalyptic number.

420200430144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420200430144 is an abundant number, since it is smaller than the sum of its proper divisors (792650817504).

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

420200430144 is a wasteful number, since it uses less digits than its factorization.

420200430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198958563 (or 198958553 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 420200430144 its reverse (441034002024), we get a palindrome (861234432168).

The spelling of 420200430144 in words is "four hundred twenty billion, two hundred million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 198958537 397917074 596875611 795834148 1193751222 1591668296 2188543907 2387502444 3183336592 4377087814 4775004888 6366673184 6565631721 8754175628 9550009776 12733346368 13131263442 17508351256 19100019552 26262526884 35016702512 38200039104 52525053768 70033405024 105050107536 140066810048 210100215072 420200430144