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4341206144 = 271111712633
BaseRepresentation
bin1000000101100000…
…11000110010000000
3102012112202010021202
410002300120302000
532342322044034
61554435040332
7212402433452
oct40260306200
912175663252
104341206144
111928552480
12a11a400a8
13542519042
142d27b22d2
151a61c347e
hex102c18c80

4341206144 has 64 divisors (see below), whose sum is σ = 9446366880. Its totient is φ = 1970841600.

The previous prime is 4341206143. The next prime is 4341206153. The reversal of 4341206144 is 4416021434.

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

It is not an unprimeable number, because it can be changed into a prime (4341206143) 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, 1647452 + ... + 1650084.

Almost surely, 24341206144 is an apocalyptic number.

4341206144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4341206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723183440).

4341206144 is an abundant number, since it is smaller than the sum of its proper divisors (5105160736).

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

4341206144 is a wasteful number, since it uses less digits than its factorization.

4341206144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 4341206144 is about 65887.8300143509. The cubic root of 4341206144 is about 1631.3111439841.

Adding to 4341206144 its reverse (4416021434), we get a palindrome (8757227578).

The spelling of 4341206144 in words is "four billion, three hundred forty-one million, two hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1171 1408 2342 2633 4684 5266 9368 10532 12881 18736 21064 25762 28963 37472 42128 51524 57926 74944 84256 103048 115852 149888 168512 206096 231704 337024 412192 463408 824384 926816 1648768 1853632 3083243 3707264 6166486 12332972 24665944 33915673 49331888 67831346 98663776 135662692 197327552 271325384 394655104 542650768 1085301536 2170603072 4341206144