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2542145140000 = 2554413100177
BaseRepresentation
bin100100111111100011101…
…010000111010100100000
3100000000201110120111120201
4210333203222013110200
5313122303123440000
65223502332514544
7351443504105614
oct44774352072440
910000643514521
102542145140000
118a01327267a4
1235082731ba54
13155952cc87bb
148b07d11b344
15461d8ac996a
hex24fe3a87520

2542145140000 has 120 divisors (see below), whose sum is σ = 6406598441628. Its totient is φ = 992056320000.

The previous prime is 2542145139997. The next prime is 2542145140001. The reversal of 2542145140000 is 415412452.

It can be written as a sum of positive squares in 10 ways, for example, as 151324112016 + 2390821027984 = 389004^2 + 1546228^2 .

It is not an unprimeable number, because it can be changed into a prime (2542145140001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 730089 + ... + 2370088.

Almost surely, 22542145140000 is an apocalyptic number.

2542145140000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542145140000 is an abundant number, since it is smaller than the sum of its proper divisors (3864453301628).

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

2542145140000 is an equidigital number, since it uses as much as digits as its factorization.

2542145140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100248 (or 3100225 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 2542145140000 in words is "two trillion, five hundred forty-two billion, one hundred forty-five million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1640 2000 2050 2500 3280 4000 4100 5000 5125 6560 8200 10000 10250 16400 20000 20500 25625 32800 41000 51250 82000 102500 164000 205000 410000 820000 3100177 6200354 12400708 15500885 24801416 31001770 49602832 62003540 77504425 99205664 124007080 127107257 155008850 248014160 254214514 310017700 387522125 496028320 508429028 620035400 635536285 775044250 1016858056 1240070800 1271072570 1550088500 1937610625 2033716112 2480141600 2542145140 3100177000 3177681425 3875221250 4067432224 5084290280 6200354000 6355362850 7750442500 10168580560 12400708000 12710725700 15500885000 15888407125 20337161120 25421451400 31001770000 31776814250 50842902800 62003540000 63553628500 79442035625 101685805600 127107257000 158884071250 254214514000 317768142500 508429028000 635536285000 1271072570000 2542145140000