Search a number
-
+
142431215144240 = 24511161853653573
BaseRepresentation
bin100000011000101001011001…
…111110111100110100110000
3200200022021212021110101110102
4200120221121332330310300
5122132043112034103430
61222531555201051532
742000213201035441
oct4030513176746460
9620267767411412
10142431215144240
11414238148582a0
1213b84159926ba8
13616228a642849
1427259c98db2c8
15116ee69519345
hex818a59fbcd30

142431215144240 has 40 divisors (see below), whose sum is σ = 361257354777168. Its totient is φ = 51793169143040.

The previous prime is 142431215144221. The next prime is 142431215144269. The reversal of 142431215144240 is 42441512134241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 142431215144194 and 142431215144203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80926825907 + ... + 80926827666.

Almost surely, 2142431215144240 is an apocalyptic number.

142431215144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142431215144240 is an abundant number, since it is smaller than the sum of its proper divisors (218826139632928).

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

142431215144240 is a wasteful number, since it uses less digits than its factorization.

142431215144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161853653597 (or 161853653591 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

Adding to 142431215144240 its reverse (42441512134241), we get a palindrome (184872727278481).

The spelling of 142431215144240 in words is "one hundred forty-two trillion, four hundred thirty-one billion, two hundred fifteen million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 161853653573 323707307146 647414614292 809268267865 1294829228584 1618536535730 1780390189303 2589658457168 3237073071460 3560780378606 6474146142920 7121560757212 8901950946515 12948292285840 14243121514424 17803901893030 28486243028848 35607803786060 71215607572120 142431215144240