Search a number
-
+
442282251262180 = 225713879322761659
BaseRepresentation
bin110010010010000001101110…
…0011110100001100011100100
32010222222202210112120201001111
41210210003130132201203210
5430432323022310342210
64204353354500234404
7162105560330444350
oct14444033436414344
92128882715521044
10442282251262180
11118a1993862138a
124173131b09ba04
1315ca306403cc44
147b3080a412460
15361eb9a21188a
hex19240dc7a18e4

442282251262180 has 48 divisors (see below), whose sum is σ = 1061485097581440. Its totient is φ = 151638529782528.

The previous prime is 442282251262129. The next prime is 442282251262231. The reversal of 442282251262180 is 81262152282244.

It is an interprime number because it is at equal distance from previous prime (442282251262129) and next prime (442282251262231).

It is a super-2 number, since 2×4422822512621802 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8050191 + ... + 30811849.

It is an arithmetic number, because the mean of its divisors is an integer number (22114272866280).

Almost surely, 2442282251262180 is an apocalyptic number.

It is an amenable number.

442282251262180 is an abundant number, since it is smaller than the sum of its proper divisors (619202846319260).

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

442282251262180 is a wasteful number, since it uses less digits than its factorization.

442282251262180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22900468 (or 22900466 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 49.

The spelling of 442282251262180 in words is "four hundred forty-two trillion, two hundred eighty-two billion, two hundred fifty-one million, two hundred sixty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 138793 277586 555172 693965 971551 1387930 1943102 2775860 3886204 4857755 9715510 19431020 22761659 45523318 91046636 113808295 159331613 227616590 318663226 455233180 637326452 796658065 1593316130 3186632260 3159158937587 6318317875174 12636635750348 15795794687935 22114112563109 31591589375870 44228225126218 63183178751740 88456450252436 110570562815545 221141125631090 442282251262180