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2145125151140 = 2251731189202289
BaseRepresentation
bin11111001101110011011…
…011000011000110100100
321121001221110102101100212
4133031303123003012210
5240121204014314030
64321242404354552
7310660125635666
oct37156333030644
97531843371325
102145125151140
11757819251924
122a78a60a5a58
13127390b9367a
1475b78a3a536
153abedb27595
hex1f3736c31a4

2145125151140 has 48 divisors (see below), whose sum is σ = 4769925375600. Its totient is φ = 807546642432.

The previous prime is 2145125151133. The next prime is 2145125151149. The reversal of 2145125151140 is 411515215412.

It can be written as a sum of positive squares in 8 ways, for example, as 311435428096 + 1833689723044 = 558064^2 + 1354138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2145125151097 and 2145125151106.

It is not an unprimeable number, because it can be changed into a prime (2145125151149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10503116 + ... + 10705404.

It is an arithmetic number, because the mean of its divisors is an integer number (99373445325).

Almost surely, 22145125151140 is an apocalyptic number.

2145125151140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145125151140 is an abundant number, since it is smaller than the sum of its proper divisors (2624800224460).

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

2145125151140 is a wasteful number, since it uses less digits than its factorization.

2145125151140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233504 (or 233502 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 32.

The spelling of 2145125151140 in words is "two trillion, one hundred forty-five billion, one hundred twenty-five million, one hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 31189 62378 124756 155945 202289 311890 404578 530213 623780 809156 1011445 1060426 2022890 2120852 2651065 3438913 4045780 5302130 6877826 10604260 13755652 17194565 34389130 68778260 6309191621 12618383242 25236766484 31545958105 63091916210 107256257557 126183832420 214512515114 429025030228 536281287785 1072562575570 2145125151140