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242273857824 = 2532841228673
BaseRepresentation
bin1110000110100010100…
…1011011000100100000
3212011100111000011112100
43201220221123010200
512432134101422244
6303144333330400
723334525545625
oct3415051330440
9764314004470
10242273857824
1193825305289
123ab55036a00
1319b004c282b
14ba2467434c
15647e8b6b69
hex3868a5b120

242273857824 has 36 divisors (see below), whose sum is σ = 688966284006. Its totient is φ = 80757952512.

The previous prime is 242273857801. The next prime is 242273857849. The reversal of 242273857824 is 428758372242.

242273857824 is a `hidden beast` number, since 2 + 42 + 2 + 7 + 3 + 8 + 578 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 232004062224 + 10269795600 = 481668^2 + 101340^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 420614049 + ... + 420614624.

Almost surely, 2242273857824 is an apocalyptic number.

242273857824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242273857824 is an abundant number, since it is smaller than the sum of its proper divisors (446692426182).

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

242273857824 is a wasteful number, since it uses less digits than its factorization.

242273857824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841228689 (or 841228678 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 54.

The spelling of 242273857824 in words is "two hundred forty-two billion, two hundred seventy-three million, eight hundred fifty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 841228673 1682457346 2523686019 3364914692 5047372038 6729829384 7571058057 10094744076 13459658768 15142116114 20189488152 26919317536 30284232228 40378976304 60568464456 80757952608 121136928912 242273857824