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4114145352 = 2335313923269
BaseRepresentation
bin1111010100111000…
…1110000001001000
3101121201111020102210
43311032032001020
531411210122402
61520124225120
7203644441602
oct36516160110
911551436383
104114145352
111821367329
1296999b1a0
13507478845
142b0588172
151912c106c
hexf538e048

4114145352 has 64 divisors (see below), whose sum is σ = 10555272000. Its totient is φ = 1335769344.

The previous prime is 4114145341. The next prime is 4114145359. The reversal of 4114145352 is 2535414114.

It is not an unprimeable number, because it can be changed into a prime (4114145359) 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, 165174 + ... + 188442.

It is an arithmetic number, because the mean of its divisors is an integer number (164926125).

Almost surely, 24114145352 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 4114145352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277636000).

4114145352 is an abundant number, since it is smaller than the sum of its proper divisors (6441126648).

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

4114145352 is a wasteful number, since it uses less digits than its factorization.

4114145352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23470 (or 23466 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 4114145352 is about 64141.6039088515. The cubic root of 4114145352 is about 1602.3591957042.

Adding to 4114145352 its reverse (2535414114), we get a palindrome (6649559466).

The spelling of 4114145352 in words is "four billion, one hundred fourteen million, one hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 139 159 212 278 318 417 424 556 636 834 1112 1272 1668 3336 7367 14734 22101 23269 29468 44202 46538 58936 69807 88404 93076 139614 176808 186152 279228 558456 1233257 2466514 3234391 3699771 4933028 6468782 7399542 9703173 9866056 12937564 14799084 19406346 25875128 29598168 38812692 77625384 171422723 342845446 514268169 685690892 1028536338 1371381784 2057072676 4114145352