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142242035312 = 241323110715859
BaseRepresentation
bin1000010001111001001…
…0010011011001110000
3111121011002111002000002
42010132102103121300
54312302430112222
6145202312245132
713163614231256
oct2043622233160
9447132432002
10142242035312
1155362a14493
12236986a07a8
131054b220700
146c552cc5d6
153a77993392
hex211e493670

142242035312 has 120 divisors (see below), whose sum is σ = 310949383680. Its totient is φ = 62934693120.

The previous prime is 142242035297. The next prime is 142242035317. The reversal of 142242035312 is 213530242241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142242035317) 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, 8961239 + ... + 8977097.

It is an arithmetic number, because the mean of its divisors is an integer number (2591244864).

Almost surely, 2142242035312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142242035312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155474691840).

142242035312 is an abundant number, since it is smaller than the sum of its proper divisors (168707348368).

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

142242035312 is a wasteful number, since it uses less digits than its factorization.

142242035312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16031 (or 16012 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 142242035312 its reverse (213530242241), we get a palindrome (355772277553).

The spelling of 142242035312 in words is "one hundred forty-two billion, two hundred forty-two million, thirty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 107 124 169 208 214 248 338 403 428 496 676 806 856 1352 1391 1612 1712 2704 2782 3224 3317 5239 5564 6448 6634 10478 11128 13268 15859 18083 20956 22256 26536 31718 36166 41912 43121 53072 63436 72332 83824 86242 126872 144664 172484 206167 253744 289328 344968 412334 491629 560573 689936 824668 983258 1121146 1649336 1696913 1966516 2242292 2680171 3298672 3393826 3933032 4484584 5360342 6391177 6787652 7866064 8969168 10720684 12782354 13575304 21441368 22059869 25564708 27150608 42882736 44119738 51129416 52604303 83085301 88239476 102258832 105208606 166170602 176478952 210417212 286778297 332341204 352957904 420834424 573556594 664682408 683855939 841668848 1147113188 1329364816 1367711878 2294226376 2735423756 4588452752 5470847512 8890127207 10941695024 17780254414 35560508828 71121017656 142242035312