Search a number
-
+
142305067168 = 251117159714891
BaseRepresentation
bin1000010010001000001…
…0110000000010100000
3111121022111002102110021
42010202002300002200
54312420044122133
6145212443243224
713165311053515
oct2044202600240
9447274072407
10142305067168
1155395556230
12236b5819514
131055b2bc674
146c5d81930c
153a7d29452d
hex21220b00a0

142305067168 has 96 divisors (see below), whose sum is σ = 323835236928. Its totient is φ = 60836966400.

The previous prime is 142305067153. The next prime is 142305067211. The reversal of 142305067168 is 861760503241.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9549003 + ... + 9563893.

It is an arithmetic number, because the mean of its divisors is an integer number (3373283718).

Almost surely, 2142305067168 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 142305067168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161917618464).

142305067168 is an abundant number, since it is smaller than the sum of its proper divisors (181530169760).

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

142305067168 is a wasteful number, since it uses less digits than its factorization.

142305067168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16526 (or 16518 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 142305067168 in words is "one hundred forty-two billion, three hundred five million, sixty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 1597 2992 3194 5984 6388 12776 14891 17567 25552 27149 29782 35134 51104 54298 59564 70268 108596 119128 140536 163801 217192 238256 253147 281072 298639 327602 434384 476512 506294 562144 597278 655204 868768 1012588 1194556 1310408 2025176 2389112 2620816 2784617 4050352 4778224 5241632 5569234 8100704 9556448 11138468 22276936 23780927 44553872 47561854 89107744 95123708 190247416 261590197 380494832 404275759 523180394 760989664 808551518 1046360788 1617103036 2092721576 3234206072 4185443152 4447033349 6468412144 8370886304 8894066698 12936824288 17788133396 35576266792 71152533584 142305067168