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4220041344 = 27312786533
BaseRepresentation
bin1111101110001000…
…1011100010000000
3101220002202022102120
43323202023202000
532120312310334
61534430044240
7206401521351
oct37342134200
911802668376
104220041344
111876115582
12999349680
135233a4bac
142c0671d28
1519a73c949
hexfb88b880

4220041344 has 64 divisors (see below), whose sum is σ = 11297879040. Its totient is φ = 1395588096.

The previous prime is 4220041289. The next prime is 4220041349. The reversal of 4220041344 is 4431400224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (4220041349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5502 + ... + 92034.

It is an arithmetic number, because the mean of its divisors is an integer number (176529360).

Almost surely, 24220041344 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 4220041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648939520).

4220041344 is an abundant number, since it is smaller than the sum of its proper divisors (7077837696).

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

4220041344 is a wasteful number, since it uses less digits than its factorization.

4220041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86677 (or 86665 counting only the distinct ones).

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

The square root of 4220041344 is about 64961.8452939878. The cubic root of 4220041344 is about 1615.9908668569.

Adding to 4220041344 its reverse (4431400224), we get a palindrome (8651441568).

The spelling of 4220041344 in words is "four billion, two hundred twenty million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 48768 86533 173066 259599 346132 519198 692264 1038396 1384528 2076792 2769056 4153584 5538112 8307168 10989691 11076224 16614336 21979382 32969073 33228672 43958764 65938146 87917528 131876292 175835056 263752584 351670112 527505168 703340224 1055010336 1406680448 2110020672 4220041344