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142314236244 = 2232101257152297
BaseRepresentation
bin1000010010001010010…
…1101110100101010100
3111121100010100021001200
42010202211232211110
54312424421024434
6145213411552500
713165452022515
oct2044245564524
9447303307050
10142314236244
115539a749084
12236b88bb730
131056017cc5b
146c60b24a0c
153a7dea6199
hex212296e954

142314236244 has 72 divisors (see below), whose sum is σ = 364716549288. Its totient is φ = 46785331200.

The previous prime is 142314236191. The next prime is 142314236249. The reversal of 142314236244 is 442632413241.

142314236244 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 1 + 4 + 23 + 624 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70617747600 + 71696488644 = 265740^2 + 267762^2 .

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 junction number, because it is equal to n+sod(n) for n = 142314236199 and 142314236208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142314236249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 858304 + ... + 1010600.

It is an arithmetic number, because the mean of its divisors is an integer number (5065507629).

Almost surely, 2142314236244 is an apocalyptic number.

It is an amenable number.

142314236244 is an abundant number, since it is smaller than the sum of its proper divisors (222402313044).

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

142314236244 is a wasteful number, since it uses less digits than its factorization.

142314236244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152665 (or 152660 counting only the distinct ones).

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

Adding to 142314236244 its reverse (442632413241), we get a palindrome (584946649485).

The spelling of 142314236244 in words is "one hundred forty-two billion, three hundred fourteen million, two hundred thirty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 257 303 404 514 606 771 909 1028 1212 1542 1818 2313 3084 3636 4626 9252 25957 51914 77871 103828 152297 155742 233613 304594 311484 456891 467226 609188 913782 934452 1370673 1827564 2741346 5482692 15381997 30763994 39140329 46145991 61527988 78280658 92291982 117420987 138437973 156561316 184583964 234841974 276875946 352262961 469683948 553751892 704525922 1409051844 3953173229 7906346458 11859519687 15812692916 23719039374 35578559061 47438078748 71157118122 142314236244