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4021444122312 = 2338291107118257
BaseRepresentation
bin111010100001010000101…
…111111001011011001000
3112020110001100120222120110
4322201100233321123020
51011341404143403222
612315231555554320
7563353064020131
oct72412057713310
915213040528513
104021444122312
111310537406101
1254b4715bb9a0
132322b372cac6
14dc8d3340c88
156e9188d430c
hex3a850bf96c8

4021444122312 has 64 divisors (see below), whose sum is σ = 10067198284800. Its totient is φ = 1338670126080.

The previous prime is 4021444122301. The next prime is 4021444122317. The reversal of 4021444122312 is 2132214441204.

4021444122312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4021444122312.

It is not an unprimeable number, because it can be changed into a prime (4021444122317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220259488 + ... + 220277744.

It is an arithmetic number, because the mean of its divisors is an integer number (157299973200).

Almost surely, 24021444122312 is an apocalyptic number.

It is an amenable number.

4021444122312 is an abundant number, since it is smaller than the sum of its proper divisors (6045754162488).

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

4021444122312 is a wasteful number, since it uses less digits than its factorization.

4021444122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30166 (or 30162 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4021444122312 its reverse (2132214441204), we get a palindrome (6153658563516).

The spelling of 4021444122312 in words is "four trillion, twenty-one billion, four hundred forty-four million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 829 1658 2487 3316 4974 6632 9948 11071 18257 19896 22142 33213 36514 44284 54771 66426 73028 88568 109542 132852 146056 219084 265704 438168 9177859 15135053 18355718 27533577 30270106 36711436 45405159 55067154 60540212 73422872 90810318 110134308 121080424 181620636 202123247 220268616 363241272 404246494 606369741 808492988 1212739482 1616985976 2425478964 4850957928 167560171763 335120343526 502680515289 670240687052 1005361030578 1340481374104 2010722061156 4021444122312