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4022241042432 = 2133463353489
BaseRepresentation
bin111010100010000000001…
…111111010000000000000
3112020112002220010201110110
4322202000033322000000
51011400022201324212
612315443024431320
7563411611515324
oct72420017720000
915215086121413
104022241042432
111310906232a78
1254b654478540
132323ac874b82
14dc96b107984
156e96384da3c
hex3a8803fa000

4022241042432 has 112 divisors (see below), whose sum is σ = 10748516699520. Its totient is φ = 1337847447552.

The previous prime is 4022241042349. The next prime is 4022241042451. The reversal of 4022241042432 is 2342401422204.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4022241042432.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11201944 + ... + 11555432.

Almost surely, 24022241042432 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 4022241042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374258349760).

4022241042432 is an abundant number, since it is smaller than the sum of its proper divisors (6726275657088).

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

4022241042432 is an equidigital number, since it uses as much as digits as its factorization.

4022241042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353981 (or 353957 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4022241042432 its reverse (2342401422204), we get a palindrome (6364642464636).

The spelling of 4022241042432 in words is "four trillion, twenty-two billion, two hundred forty-one million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 463 512 768 926 1024 1389 1536 1852 2048 2778 3072 3704 4096 5556 6144 7408 8192 11112 12288 14816 22224 24576 29632 44448 59264 88896 118528 177792 237056 353489 355584 474112 706978 711168 948224 1060467 1413956 1422336 1896448 2120934 2827912 2844672 3792896 4241868 5655824 5689344 8483736 11311648 11378688 16967472 22623296 33934944 45246592 67869888 90493184 135739776 163665407 180986368 271479552 327330814 361972736 490996221 542959104 654661628 723945472 981992442 1085918208 1309323256 1447890944 1963984884 2171836416 2618646512 2895781888 3927969768 4343672832 5237293024 7855939536 8687345664 10474586048 15711879072 20949172096 31423758144 41898344192 62847516288 83796688384 125695032576 167593376768 251390065152 335186753536 502780130304 670373507072 1005560260608 1340747014144 2011120521216 4022241042432