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142864167220224 = 210349177945671
BaseRepresentation
bin100000011110111100100111…
…111100000011010000000000
3200201211200101110011122202220
4200132330213330003100000
5122211141303302021344
61223502520430411040
742043411150001022
oct4036744774032000
9621750343148686
10142864167220224
1141580397a3103a
1214034048660a80
136194057b1aca8
14273c93c1d8012
15117b358cb5c19
hex81ef27f03400

142864167220224 has 88 divisors (see below), whose sum is σ = 380793237359808. Its totient is φ = 47620370350080.

The previous prime is 142864167220211. The next prime is 142864167220253. The reversal of 142864167220224 is 422022761468241.

142864167220224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1428641672202243 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150598909 + ... + 151544579.

Almost surely, 2142864167220224 is an apocalyptic number.

It is an amenable number.

142864167220224 is an abundant number, since it is smaller than the sum of its proper divisors (237929070139584).

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

142864167220224 is an equidigital number, since it uses as much as digits as its factorization.

142864167220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994871 (or 994853 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 142864167220224 in words is "one hundred forty-two trillion, eight hundred sixty-four billion, one hundred sixty-seven million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 49177 98354 147531 196708 295062 393416 590124 786832 945671 1180248 1573664 1891342 2360496 2837013 3147328 3782684 4720992 5674026 6294656 7565368 9441984 11348052 12589312 15130736 18883968 22696104 25178624 30261472 37767936 45392208 50357248 60522944 75535872 90784416 121045888 151071744 181568832 242091776 363137664 484183552 726275328 968367104 1452550656 2905101312 46505262767 93010525534 139515788301 186021051068 279031576602 372042102136 558063153204 744084204272 1116126306408 1488168408544 2232252612816 2976336817088 4464505225632 5952673634176 8929010451264 11905347268352 17858020902528 23810694536704 35716041805056 47621389073408 71432083610112 142864167220224