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4142334431412 = 223467190820639
BaseRepresentation
bin111100010001110110010…
…111110101000010110100
3112200000002102000222120000
4330101312113311002310
51020332000103301122
612450543454511300
7605162623466652
oct74216627650264
915600072028500
104142334431412
111357832883671
1256a98b505530
1324080b1c9898
141046c09dddd2
1572b41b000ac
hex3c4765f50b4

4142334431412 has 60 divisors (see below), whose sum is σ = 10990505581440. Its totient is φ = 1360169507664.

The previous prime is 4142334431393. The next prime is 4142334431413. The reversal of 4142334431412 is 2141344332414.

4142334431412 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 334 + 4 + 314 + 1 + 2 = 666.

It is a super-2 number, since 2×41423344314122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142334431413) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95388612 + ... + 95432027.

It is an arithmetic number, because the mean of its divisors is an integer number (183175093024).

Almost surely, 24142334431412 is an apocalyptic number.

It is an amenable number.

4142334431412 is an abundant number, since it is smaller than the sum of its proper divisors (6848171150028).

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

4142334431412 is a wasteful number, since it uses less digits than its factorization.

4142334431412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190820722 (or 190820711 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 4142334431412 its reverse (2141344332414), we get a palindrome (6283678763826).

The spelling of 4142334431412 in words is "four trillion, one hundred forty-two billion, three hundred thirty-four million, four hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 402 603 804 1206 1809 2412 3618 5427 7236 10854 21708 190820639 381641278 572461917 763282556 1144923834 1717385751 2289847668 3434771502 5152157253 6869543004 10304314506 12784982813 15456471759 20608629012 25569965626 30912943518 38354948439 51139931252 61825887036 76709896878 115064845317 153419793756 230129690634 345194535951 460259381268 690389071902 1035583607853 1380778143804 2071167215706 4142334431412