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4133140004 = 227239753117
BaseRepresentation
bin1111011001011010…
…1011011000100100
3101200001020021012102
43312112223120210
531431040440004
61522043311232
7204265052600
oct36626533044
911601207172
104133140004
111831060294
1297421b518
1350b399496
142b2cd0500
15192cc411e
hexf65ab624

4133140004 has 36 divisors (see below), whose sum is σ = 8435244636. Its totient is φ = 1766850624.

The previous prime is 4133139953. The next prime is 4133140009. The reversal of 4133140004 is 4000413314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3449212900 + 683927104 = 58730^2 + 26152^2 .

It is not an unprimeable number, because it can be changed into a prime (4133140009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51254 + ... + 104370.

It is an arithmetic number, because the mean of its divisors is an integer number (234312351).

Almost surely, 24133140004 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 4133140004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217622318).

4133140004 is an abundant number, since it is smaller than the sum of its proper divisors (4302104632).

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

4133140004 is a wasteful number, since it uses less digits than its factorization.

4133140004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53532 (or 53523 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4133140004 is about 64289.5015068557. The cubic root of 4133140004 is about 1604.8213947727.

Adding to 4133140004 its reverse (4000413314), we get a palindrome (8133553318).

The spelling of 4133140004 in words is "four billion, one hundred thirty-three million, one hundred forty thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 397 794 1588 2779 5558 11116 19453 38906 53117 77812 106234 212468 371819 743638 1487276 2602733 5205466 10410932 21087449 42174898 84349796 147612143 295224286 590448572 1033285001 2066570002 4133140004