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242464373000 = 23532381101833
BaseRepresentation
bin1110000111010000000…
…0001011100100001000
3212011211202111100012222
43201310000023210020
512433031334414000
6303215300553212
723342331110513
oct3416400134410
9764752440188
10242464373000
11939128aa143
123aba89b2808
1319b30b088c5
14ba41aa7d7a
15649149aa85
hex387400b908

242464373000 has 64 divisors (see below), whose sum is σ = 567610495920. Its totient is φ = 96944064000.

The previous prime is 242464372993. The next prime is 242464373051. The reversal of 242464373000 is 373464242.

It can be written as a sum of positive squares in 8 ways, for example, as 71605444 + 242392767556 = 8462^2 + 492334^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2330084 + ... + 2431916.

Almost surely, 2242464373000 is an apocalyptic number.

242464373000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242464373000 is an abundant number, since it is smaller than the sum of its proper divisors (325146122920).

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

242464373000 is a wasteful number, since it uses less digits than its factorization.

242464373000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104235 (or 104221 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 35.

The spelling of 242464373000 in words is "two hundred forty-two billion, four hundred sixty-four million, three hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2381 4762 9524 11905 19048 23810 47620 59525 95240 101833 119050 203666 238100 297625 407332 476200 509165 595250 814664 1018330 1190500 2036660 2381000 2545825 4073320 5091650 10183300 12729125 20366600 25458250 50916500 101833000 242464373 484928746 969857492 1212321865 1939714984 2424643730 4849287460 6061609325 9698574920 12123218650 24246437300 30308046625 48492874600 60616093250 121232186500 242464373000