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4142023344 = 2433177512
BaseRepresentation
bin1111011011100010…
…0100001010110000
3101200122221120212000
43312320210022300
531440324221334
61523001534000
7204433421544
oct36670441260
911618846760
104142023344
111836078498
129771a4300
135101899b4
142b4163a24
1519397b299
hexf6e242b0

4142023344 has 120 divisors (see below), whose sum is σ = 12605286960. Its totient is φ = 1297728000.

The previous prime is 4142023307. The next prime is 4142023363. The reversal of 4142023344 is 4433202414.

It is a happy number.

4142023344 is a `hidden beast` number, since 4 + 1 + 420 + 233 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5514969 + ... + 5515719.

It is an arithmetic number, because the mean of its divisors is an integer number (105044058).

Almost surely, 24142023344 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 4142023344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302643480).

4142023344 is an abundant number, since it is smaller than the sum of its proper divisors (8463263616).

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

4142023344 is an equidigital number, since it uses as much as digits as its factorization.

4142023344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4142023344 is about 64358.5529980282. The cubic root of 4142023344 is about 1605.9703172768.

Adding to 4142023344 its reverse (4433202414), we get a palindrome (8575225758).

The spelling of 4142023344 in words is "four billion, one hundred forty-two million, twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 751 816 918 1224 1502 1836 2253 2448 3004 3672 4506 6008 6759 7344 9012 12016 12767 13518 18024 20277 25534 27036 36048 38301 40554 51068 54072 76602 81108 102136 108144 114903 153204 162216 204272 229806 306408 324432 344709 459612 564001 612816 689418 919224 1128002 1378836 1692003 1838448 2256004 2757672 3384006 4512008 5076009 5515344 6768012 9024016 9588017 10152018 13536024 15228027 19176034 20304036 27072048 28764051 30456054 38352068 40608072 57528102 60912108 76704136 81216144 86292153 115056204 121824216 153408272 172584306 230112408 243648432 258876459 345168612 460224816 517752918 690337224 1035505836 1380674448 2071011672 4142023344