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4141142320 = 24577394897
BaseRepresentation
bin1111011011010100…
…1101000100110000
3101200121021211022111
43312311031010300
531440113023240
61522531015104
7204423062140
oct36665150460
911617254274
104141142320
111835626577
12976a3a494
1350cc3b993
142b3db4920
151938551ea
hexf6d4d130

4141142320 has 40 divisors (see below), whose sum is σ = 11003608224. Its totient is φ = 1419820032.

The previous prime is 4141142281. The next prime is 4141142329. The reversal of 4141142320 is 232411414.

It is a happy number.

4141142320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4141142291 and 4141142300.

It is not an unprimeable number, because it can be changed into a prime (4141142329) 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, 3696889 + ... + 3698008.

Almost surely, 24141142320 is an apocalyptic number.

4141142320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141142320 is an abundant number, since it is smaller than the sum of its proper divisors (6862465904).

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

4141142320 is a wasteful number, since it uses less digits than its factorization.

4141142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7394917 (or 7394911 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4141142320 is about 64351.7079804414. The cubic root of 4141142320 is about 1605.8564438865.

Adding to 4141142320 its reverse (232411414), we get a palindrome (4373553734).

The spelling of 4141142320 in words is "four billion, one hundred forty-one million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7394897 14789794 29579588 36974485 51764279 59159176 73948970 103528558 118318352 147897940 207057116 258821395 295795880 414114232 517642790 591591760 828228464 1035285580 2070571160 4141142320