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4300011334144 = 2923839435221
BaseRepresentation
bin111110100100101100101…
…001011110101000000000
3120020002002011221120012101
4332210230221132220000
51030422410400143034
613051221542040144
7622444201162561
oct76445451365000
916202064846171
104300011334144
11140869632a429
12595455119054
13252649095226
1410c19bb92168
1576cbe657514
hex3e92ca5ea00

4300011334144 has 80 divisors (see below), whose sum is σ = 8975879256960. Its totient is φ = 2054071275520.

The previous prime is 4300011334109. The next prime is 4300011334159. The reversal of 4300011334144 is 4414331100034.

It is a happy number.

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, 9662454 + ... + 10097674.

It is an arithmetic number, because the mean of its divisors is an integer number (112198490712).

Almost surely, 24300011334144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4300011334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487939628480).

4300011334144 is an abundant number, since it is smaller than the sum of its proper divisors (4675867922816).

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

4300011334144 is an equidigital number, since it uses as much as digits as its factorization.

4300011334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436101 (or 436085 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4300011334144 its reverse (4414331100034), we get a palindrome (8714342434178).

The spelling of 4300011334144 in words is "four trillion, three hundred billion, eleven million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 839 1472 1678 2944 3356 5888 6712 11776 13424 19297 26848 38594 53696 77188 107392 154376 214784 308752 429568 435221 617504 870442 1235008 1740884 2470016 3481768 4940032 6963536 9880064 10010083 13927072 20020166 27854144 40040332 55708288 80080664 111416576 160161328 222833152 320322656 365150419 640645312 730300838 1281290624 1460601676 2562581248 2921203352 5125162496 5842406704 8398459637 11684813408 16796919274 23369626816 33593838548 46739253632 67187677096 93478507264 134375354192 186957014528 268750708384 537501416768 1075002833536 2150005667072 4300011334144