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4055174144 = 2107280819
BaseRepresentation
bin1111000110110101…
…0000110000000000
3101110121112012010222
43301231100300000
531301111033034
61510220242212
7202330261100
oct36155206000
911417465128
104055174144
1117a104939a
129520a0368
134c819bc38
142a67d7200
1518b02312e
hexf1b50c00

4055174144 has 66 divisors (see below), whose sum is σ = 9429996780. Its totient is φ = 1737910272.

The previous prime is 4055174141. The next prime is 4055174153. The reversal of 4055174144 is 4414715504.

It is a super-2 number, since 2×40551741442 = 32888874676332265472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4055174141) 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, 9767 + ... + 90585.

Almost surely, 24055174144 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 4055174144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714998390).

4055174144 is an abundant number, since it is smaller than the sum of its proper divisors (5374822636).

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

4055174144 is an equidigital number, since it uses as much as digits as its factorization.

4055174144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80853 (or 80828 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The square root of 4055174144 is about 63680.2492457434. The cubic root of 4055174144 is about 1594.6663733564. Note that the first 3 decimals are identical.

Adding to 4055174144 its reverse (4414715504), we get a palindrome (8469889648).

The spelling of 4055174144 in words is "four billion, fifty-five million, one hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 3136 3584 6272 7168 12544 25088 50176 80819 161638 323276 565733 646552 1131466 1293104 2262932 2586208 3960131 4525864 5172416 7920262 9051728 10344832 15840524 18103456 20689664 31681048 36206912 41379328 63362096 72413824 82758656 126724192 144827648 253448384 289655296 506896768 579310592 1013793536 2027587072 4055174144