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242357485374642 = 231131711668370337
BaseRepresentation
bin110111000110110000111111…
…110100110000110010110010
31011210010011000212012112211210
4313012300333310300302302
5223231241112223442032
62215241254115020550
7102022515263415351
oct6706607764606262
91153104025175753
10242357485374642
117024a26127a290
122322260759a756
13a53029c6c6391
1443bc244607998
151d0441b0312cc
hexdc6c3fd30cb2

242357485374642 has 64 divisors (see below), whose sum is σ = 553525237260288. Its totient is φ = 70071554112000.

The previous prime is 242357485374617. The next prime is 242357485374643. The reversal of 242357485374642 is 246473584753242.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (242357485374643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834039903 + ... + 834330434.

It is an arithmetic number, because the mean of its divisors is an integer number (8648831832192).

Almost surely, 2242357485374642 is an apocalyptic number.

242357485374642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242357485374642 is an abundant number, since it is smaller than the sum of its proper divisors (311167751885646).

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

242357485374642 is a wasteful number, since it uses less digits than its factorization.

242357485374642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668370455.

The product of its digits is 1083801600, while the sum is 66.

The spelling of 242357485374642 in words is "two hundred forty-two trillion, three hundred fifty-seven billion, four hundred eighty-five million, three hundred seventy-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 71 93 142 186 213 341 426 682 781 1023 1562 2046 2201 2343 4402 4686 6603 13206 24211 48422 72633 145266 1668370337 3336740674 5005111011 10010222022 18352073707 36704147414 51719480447 55056221121 103438960894 110112442242 118454293927 155158441341 236908587854 310316882682 355362881781 568914284917 710725763562 1137828569834 1302997233197 1706742854751 2605994466394 3413485709502 3672083111737 3908991699591 7344166223474 7817983399182 11016249335211 22032498670422 40392914229107 80785828458214 121178742687321 242357485374642