Search a number
-
+
142298330148 = 2236133753781
BaseRepresentation
bin1000010010000110100…
…1000011010000100100
3111121022000102011000000
42010201221003100210
54312411333031043
6145212043021300
713165166564202
oct2044151032044
9447260364000
10142298330148
1155391774647
12236b350a830
1310559aa1070
146c5c984072
153a7c8b32d3
hex2121a43424

142298330148 has 84 divisors (see below), whose sum is σ = 402082605148. Its totient is φ = 43784089920.

The previous prime is 142298330147. The next prime is 142298330173. The reversal of 142298330148 is 841033892241.

142298330148 is a `hidden beast` number, since 1 + 4 + 229 + 83 + 301 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23901778404 + 118396551744 = 154602^2 + 344088^2 .

It is not an unprimeable number, because it can be changed into a prime (142298330147) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1838983 + ... + 1914798.

Almost surely, 2142298330148 is an apocalyptic number.

142298330148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142298330148 is an abundant number, since it is smaller than the sum of its proper divisors (259784275000).

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

142298330148 is a wasteful number, since it uses less digits than its factorization.

142298330148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753816 (or 3753799 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 142298330148 in words is "one hundred forty-two billion, two hundred ninety-eight million, three hundred thirty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2916 3159 4212 6318 9477 12636 18954 37908 3753781 7507562 11261343 15015124 22522686 33784029 45045372 48799153 67568058 97598306 101352087 135136116 146397459 195196612 202704174 292794918 304056261 405408348 439192377 585589836 608112522 878384754 912168783 1216225044 1317577131 1756769508 1824337566 2635154262 2736506349 3648675132 3952731393 5270308524 5473012698 7905462786 10946025396 11858194179 15810925572 23716388358 35574582537 47432776716 71149165074 142298330148