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2442808315136 = 2871975369011
BaseRepresentation
bin100011100011000010101…
…110001100110100000000
322122112022111210221121002
4203203002232030310000
5310010332412041021
65110113255551132
7341326032036410
oct43430256146400
98575274727532
102442808315136
11861a97678a22
1233552368b4a8
13149481a03ba7
14863381aa640
1543822bdb50b
hex238c2b8cd00

2442808315136 has 72 divisors (see below), whose sum is σ = 5573019340224. Its totient is φ = 1046849679360.

The previous prime is 2442808315097. The next prime is 2442808315153. The reversal of 2442808315136 is 6315138082442.

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, 35362871 + ... + 35431881.

It is an arithmetic number, because the mean of its divisors is an integer number (77403046392).

Almost surely, 22442808315136 is an apocalyptic number.

It is an amenable number.

2442808315136 is an abundant number, since it is smaller than the sum of its proper divisors (3130211025088).

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

2442808315136 is an equidigital number, since it uses as much as digits as its factorization.

2442808315136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88787 (or 88773 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 2442808315136 in words is "two trillion, four hundred forty-two billion, eight hundred eight million, three hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 19753 39506 69011 79012 138022 138271 158024 276044 276542 316048 483077 552088 553084 632096 966154 1104176 1106168 1264192 1932308 2208352 2212336 2528384 3864616 4416704 4424672 5056768 7729232 8833408 8849344 15458464 17666816 17698688 30916928 35397376 61833856 123667712 1363174283 2726348566 5452697132 9542219981 10905394264 19084439962 21810788528 38168879924 43621577056 76337759848 87243154112 152675519696 174486308224 305351039392 348972616448 610702078784 1221404157568 2442808315136