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4140402132 = 2232341935803
BaseRepresentation
bin1111011011001001…
…1000010111010100
3101200112220012222010
43312302120113110
531434420332012
61522503104220
7204413560146
oct36662302724
911615805863
104140402132
111835170449
12976742070
1350ca3cab9
142b3c60c96
1519375ac3c
hexf6c985d4

4140402132 has 48 divisors (see below), whose sum is σ = 10105320960. Its totient is φ = 1316940768.

The previous prime is 4140402127. The next prime is 4140402163. The reversal of 4140402132 is 2312040414.

It is a junction number, because it is equal to n+sod(n) for n = 4140402099 and 4140402108.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 97743 + ... + 133545.

It is an arithmetic number, because the mean of its divisors is an integer number (210527520).

Almost surely, 24140402132 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 4140402132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052660480).

4140402132 is an abundant number, since it is smaller than the sum of its proper divisors (5964918828).

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

4140402132 is a wasteful number, since it uses less digits than its factorization.

4140402132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36252 (or 36250 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4140402132 is about 64345.9566095648. The cubic root of 4140402132 is about 1605.7607612299.

Adding to 4140402132 its reverse (2312040414), we get a palindrome (6452442546).

The spelling of 4140402132 in words is "four billion, one hundred forty million, four hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 419 838 1257 1676 2514 5028 9637 19274 28911 35803 38548 57822 71606 107409 115644 143212 214818 429636 823469 1646938 2470407 3293876 4940814 9881628 15001457 30002914 45004371 60005828 90008742 180017484 345033511 690067022 1035100533 1380134044 2070201066 4140402132