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4142222154 = 2327238912073
BaseRepresentation
bin1111011011100101…
…0100101101001010
3101200200022200120100
43312321110231022
531440402102104
61523010110230
7204435210300
oct36671245512
911620280510
104142222154
1118361a38a4
1297727b376
13510229335
142b41b6270
151939ba139
hexf6e54b4a

4142222154 has 72 divisors (see below), whose sum is σ = 10467795780. Its totient is φ = 1180351872.

The previous prime is 4142222143. The next prime is 4142222179. The reversal of 4142222154 is 4512222414.

It is a happy number.

4142222154 is a `hidden beast` number, since 414 + 22 + 221 + 5 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3322946025 + 819276129 = 57645^2 + 28623^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 337062 + ... + 349134.

Almost surely, 24142222154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142222154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233897890).

4142222154 is an abundant number, since it is smaller than the sum of its proper divisors (6325573626).

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

4142222154 is a wasteful number, since it uses less digits than its factorization.

4142222154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12484 (or 12474 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 4142222154 is about 64360.0975294475. The cubic root of 4142222154 is about 1605.9960114705.

Adding to 4142222154 its reverse (4512222414), we get a palindrome (8654444568).

The spelling of 4142222154 in words is "four billion, one hundred forty-two million, two hundred twenty-two thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 389 441 778 882 1167 2334 2723 3501 5446 7002 8169 12073 16338 19061 24146 24507 36219 38122 49014 57183 72438 84511 108657 114366 169022 171549 217314 253533 343098 507066 591577 760599 1183154 1521198 1774731 3549462 4696397 5324193 9392794 10648386 14089191 28178382 32874779 42267573 65749558 84535146 98624337 197248674 230123453 295873011 460246906 591746022 690370359 1380740718 2071111077 4142222154