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242267720128 = 2672323512007
BaseRepresentation
bin1110000110100001001…
…0000000100111000000
3212011100001110100012021
43201220102000213000
512432131014021003
6303143554011224
723334422433520
oct3415022004700
9764301410167
10242267720128
11938218a2a05
123ab52b76b14
1319acc153c65
14ba23917680
15647e0a32bd
hex38684809c0

242267720128 has 56 divisors (see below), whose sum is σ = 573316803072. Its totient is φ = 99314713344.

The previous prime is 242267720113. The next prime is 242267720129. The reversal of 242267720128 is 821027762242.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242267720129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11745700 + ... + 11766307.

Almost surely, 2242267720128 is an apocalyptic number.

242267720128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

242267720128 is an abundant number, since it is smaller than the sum of its proper divisors (331049082944).

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

242267720128 is a wasteful number, since it uses less digits than its factorization.

242267720128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23512049 (or 23512039 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 242267720128 in words is "two hundred forty-two billion, two hundred sixty-seven million, seven hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 10304 23512007 47024014 94048028 164584049 188096056 329168098 376192112 540776161 658336196 752384224 1081552322 1316672392 1504768448 2163104644 2633344784 3785433127 4326209288 5266689568 7570866254 8652418576 10533379136 15141732508 17304837152 30283465016 34609674304 60566930032 121133860064 242267720128