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420004022144 = 277266964927
BaseRepresentation
bin1100001110010100011…
…00001100011110000000
31111011002210122222120212
412013022030030132000
523340132012202034
6520540331453252
742226043166200
oct6071214143600
91434083588525
10420004022144
11152139359303
12694965b7228
13307b5ac3935
1416484c14400
15add2bab2ce
hex61ca30c780

420004022144 has 48 divisors (see below), whose sum is σ = 973335228480. Its totient is φ = 180001721088.

The previous prime is 420004022129. The next prime is 420004022147. The reversal of 420004022144 is 441220400024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420004022147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33476192 + ... + 33488735.

It is an arithmetic number, because the mean of its divisors is an integer number (20277817260).

Almost surely, 2420004022144 is an apocalyptic number.

It is an amenable number.

420004022144 is an abundant number, since it is smaller than the sum of its proper divisors (553331206336).

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

420004022144 is an equidigital number, since it uses as much as digits as its factorization.

420004022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66964955 (or 66964936 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 420004022144 its reverse (441220400024), we get a palindrome (861224422168).

The spelling of 420004022144 in words is "four hundred twenty billion, four million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 66964927 133929854 267859708 468754489 535719416 937508978 1071438832 1875017956 2142877664 3281281423 3750035912 4285755328 6562562846 7500071824 8571510656 13125125692 15000143648 26250251384 30000287296 52500502768 60000574592 105001005536 210002011072 420004022144