Search a number
-
+
142313208768 = 2633233580747
BaseRepresentation
bin1000010010001010000…
…1110011101111000000
3111121100001102001122000
42010202201303233000
54312424140140033
6145213333544000
713165440213123
oct2044241635700
9447301361560
10142313208768
115539a107125
12236b84a5000
131055cbb0393
146c609383ba
153a7dd51a13
hex2122873bc0

142313208768 has 112 divisors (see below), whose sum is σ = 436564796160. Its totient is φ = 45375213312.

The previous prime is 142313208767. The next prime is 142313208809. The reversal of 142313208768 is 867802313241.

142313208768 is a `hidden beast` number, since 1 + 423 + 13 + 208 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142313208767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1750630 + ... + 1830117.

Almost surely, 2142313208768 is an apocalyptic number.

142313208768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142313208768 is an abundant number, since it is smaller than the sum of its proper divisors (294251587392).

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

142313208768 is a wasteful number, since it uses less digits than its factorization.

142313208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580791 (or 3580775 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 142313208768 in words is "one hundred forty-two billion, three hundred thirteen million, two hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 4416 4968 6624 9936 13248 19872 39744 3580747 7161494 10742241 14322988 21484482 28645976 32226723 42968964 57291952 64453446 82357181 85937928 96680169 114583904 128906892 164714362 171875856 193360338 229167808 247071543 257813784 329428724 343751712 386720676 494143086 515627568 658857448 687503424 741214629 773441352 988286172 1031255136 1317714896 1482429258 1546882704 1976572344 2062510272 2223643887 2635429792 2964858516 3093765408 3953144688 4447287774 5270859584 5929717032 6187530816 7906289376 8894575548 11859434064 15812578752 17789151096 23718868128 35578302192 47437736256 71156604384 142313208768