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4101040053 = 321125576761
BaseRepresentation
bin1111010001110000…
…1110011110110101
3101120210211102100100
43310130032132311
531344331240203
61514535304313
7203425156665
oct36434163665
911523742310
104101040053
111814a26100
1296551b099
1350483a726
142ac9361a5
15190082ea3
hexf470e7b5

4101040053 has 36 divisors (see below), whose sum is σ = 6523855884. Its totient is φ = 2480649600.

The previous prime is 4101040007. The next prime is 4101040061. The reversal of 4101040053 is 3500401014.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1712469924 + 2388570129 = 41382^2 + 48873^2 .

It is not a de Polignac number, because 4101040053 - 230 = 3027298229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101040753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 603193 + ... + 609953.

It is an arithmetic number, because the mean of its divisors is an integer number (181218219).

Almost surely, 24101040053 is an apocalyptic number.

It is an amenable number.

4101040053 is a deficient number, since it is larger than the sum of its proper divisors (2422815831).

4101040053 is a wasteful number, since it uses less digits than its factorization.

4101040053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7346 (or 7332 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4101040053 is about 64039.3633088275. The cubic root of 4101040053 is about 1600.6559879142.

Adding to 4101040053 its reverse (3500401014), we get a palindrome (7601441067).

The spelling of 4101040053 in words is "four billion, one hundred one million, forty thousand, fifty-three".

Divisors: 1 3 9 11 33 99 121 363 557 1089 1671 5013 6127 6761 18381 20283 55143 60849 67397 74371 202191 223113 606573 669339 818081 2454243 3765877 7362729 11297631 33892893 41424647 124273941 372821823 455671117 1367013351 4101040053