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2142047150800 = 245232531646209
BaseRepresentation
bin11111001010111011111…
…101011010001011010000
321120202222221121202200021
4133022323331122023100
5240043403032311200
64320013132233224
7310520632236034
oct37127375321320
97522887552607
102142047150800
11756489856697
122a718730b814
13126cc029bcab
1475965d2c1c4
153aabd7c741a
hex1f2bbf5a2d0

2142047150800 has 60 divisors (see below), whose sum is σ = 5147853413740. Its totient is φ = 856554946560.

The previous prime is 2142047150779. The next prime is 2142047150801. The reversal of 2142047150800 is 80517402412.

It can be written as a sum of positive squares in 6 ways, for example, as 1525996096 + 2140521154704 = 39064^2 + 1463052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142047150801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478096 + ... + 2124304.

Almost surely, 22142047150800 is an apocalyptic number.

2142047150800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142047150800 is an abundant number, since it is smaller than the sum of its proper divisors (3005806262940).

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

2142047150800 is a wasteful number, since it uses less digits than its factorization.

2142047150800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649480 (or 1649469 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The spelling of 2142047150800 in words is "two trillion, one hundred forty-two billion, forty-seven million, one hundred fifty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3253 6506 13012 16265 26024 32530 52048 65060 81325 130120 162650 260240 325300 650600 1301200 1646209 3292418 6584836 8231045 13169672 16462090 26339344 32924180 41155225 65848360 82310450 131696720 164620900 329241800 658483600 5355117877 10710235754 21420471508 26775589385 42840943016 53551178770 85681886032 107102357540 133877946925 214204715080 267755893850 428409430160 535511787700 1071023575400 2142047150800