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4111661142 = 233195697043
BaseRepresentation
bin1111010100010010…
…1111100001010110
3101121112211000202000
43311010233201112
531410041124032
61515555100130
7203614354161
oct36504574126
911545730660
104111661142
11181aa1a966
12968ba1646
13506ab8bb4
142b00dcad8
15190e7ee7c
hexf512f856

4111661142 has 64 divisors (see below), whose sum is σ = 9636192000. Its totient is φ = 1295953344.

The previous prime is 4111661129. The next prime is 4111661143. The reversal of 4111661142 is 2411661114.

4111661142 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 6 + 611 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111661143) 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 31 ways as a sum of consecutive naturals, for example, 580273 + ... + 587315.

It is an arithmetic number, because the mean of its divisors is an integer number (150565500).

Almost surely, 24111661142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4111661142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818096000).

4111661142 is an abundant number, since it is smaller than the sum of its proper divisors (5524530858).

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

4111661142 is a wasteful number, since it uses less digits than its factorization.

4111661142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642 (or 7636 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 4111661142 is about 64122.2359404287. The cubic root of 4111661142 is about 1602.0366177157.

The spelling of 4111661142 in words is "four billion, one hundred eleven million, six hundred sixty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 569 1026 1138 1707 3414 5121 7043 10242 10811 14086 15363 21129 21622 30726 32433 42258 63387 64866 97299 126774 133817 190161 194598 267634 291897 380322 401451 583794 802902 1204353 2408706 3613059 4007467 7226118 8014934 12022401 24044802 36067203 72134406 76141873 108201609 152283746 216403218 228425619 456851238 685276857 1370553714 2055830571 4111661142