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4342214144 = 2931793463
BaseRepresentation
bin1000000101101000…
…01110111000000000
3102012121122100000002
410002310032320000
532343101323034
61554512415132
7212414132312
oct40264167000
912177570002
104342214144
111929080834
12a122474a8
135427acaa8
142d29957b2
151a6321e7e
hex102d0ee00

4342214144 has 80 divisors (see below), whose sum is σ = 9071800320. Its totient is φ = 2073876480.

The previous prime is 4342214111. The next prime is 4342214161. The reversal of 4342214144 is 4414122434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252157 + ... + 1255619.

It is an arithmetic number, because the mean of its divisors is an integer number (113397504).

Almost surely, 24342214144 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 4342214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535900160).

4342214144 is an abundant number, since it is smaller than the sum of its proper divisors (4729586176).

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

4342214144 is an equidigital number, since it uses as much as digits as its factorization.

4342214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3575 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 4342214144 is about 65895.4789344459. The cubic root of 4342214144 is about 1631.4373941801.

Adding to 4342214144 its reverse (4414122434), we get a palindrome (8756336578).

The spelling of 4342214144 in words is "four billion, three hundred forty-two million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 79 124 128 158 248 256 316 496 512 632 992 1264 1984 2449 2528 3463 3968 4898 5056 6926 7936 9796 10112 13852 15872 19592 20224 27704 39184 40448 55408 78368 107353 110816 156736 214706 221632 273577 313472 429412 443264 547154 626944 858824 886528 1094308 1253888 1717648 1773056 2188616 3435296 4377232 6870592 8480887 8754464 13741184 16961774 17508928 27482368 33923548 35017856 54964736 67847096 70035712 135694192 140071424 271388384 542776768 1085553536 2171107072 4342214144