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4023410144 = 2513311013089
BaseRepresentation
bin1110111111010000…
…0101110111100000
3101101101202102010112
43233310011313200
531214443111034
61503123350452
7201463264505
oct35764056740
911341672115
104023410144
111785123656
12943522428
134c172a080
142a24c94ac
1518834b7ce
hexefd05de0

4023410144 has 96 divisors (see below), whose sum is σ = 8895640320. Its totient is φ = 1778688000.

The previous prime is 4023410141. The next prime is 4023410159. The reversal of 4023410144 is 4410143204.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023410141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1300952 + ... + 1304040.

It is an arithmetic number, because the mean of its divisors is an integer number (92662920).

Almost surely, 24023410144 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 4023410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447820160).

4023410144 is an abundant number, since it is smaller than the sum of its proper divisors (4872230176).

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

4023410144 is a wasteful number, since it uses less digits than its factorization.

4023410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4023410144 is about 63430.3566441180. The cubic root of 4023410144 is about 1590.4918041421.

Adding to 4023410144 its reverse (4410143204), we get a palindrome (8433553348).

The spelling of 4023410144 in words is "four billion, twenty-three million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 101 104 124 202 208 248 403 404 416 496 806 808 992 1313 1612 1616 2626 3089 3131 3224 3232 5252 6178 6262 6448 10504 12356 12524 12896 21008 24712 25048 40157 40703 42016 49424 50096 80314 81406 95759 98848 100192 160628 162812 191518 311989 321256 325624 383036 623978 642512 651248 766072 1244867 1247956 1285024 1302496 1532144 2489734 2495912 3064288 4055857 4979468 4991824 8111714 9671659 9958936 9983648 16223428 19343318 19917872 32446856 38686636 39835744 64893712 77373272 125731567 129787424 154746544 251463134 309493088 502926268 1005852536 2011705072 4023410144