Search a number
-
+
422412412400412 = 2237139269913404163
BaseRepresentation
bin110000000001011101000110…
…1110010100011001100011100
32001101122020021022021010010020
41200002322031302203030130
5420331301110033303122
64054221325555112140
7154655201235016530
oct14002721562431434
92041566238233106
10422412412400412
11112659109592a75
123b4624322a2650
131519142012c5c5
147644c26c07bc0
1533c7db241dc5c
hex1802e8dca331c

422412412400412 has 96 divisors (see below), whose sum is σ = 1134957374208000. Its totient is φ = 119776589099712.

The previous prime is 422412412400411. The next prime is 422412412400471. The reversal of 422412412400412 is 214004214214224.

It is a happy number.

It is a super-2 number, since 2×4224124124004122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422412412400411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24811443 + ... + 38215605.

It is an arithmetic number, because the mean of its divisors is an integer number (11822472648000).

Almost surely, 2422412412400412 is an apocalyptic number.

422412412400412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422412412400412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567478687104000).

422412412400412 is an abundant number, since it is smaller than the sum of its proper divisors (712544961807588).

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

422412412400412 is a wasteful number, since it uses less digits than its factorization.

422412412400412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13407015 (or 13407013 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 422412412400412 its reverse (214004214214224), we get a palindrome (636416626614636).

The spelling of 422412412400412 in words is "four hundred twenty-two trillion, four hundred twelve billion, four hundred twelve million, four hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 973 1668 1946 2699 2919 3892 5398 5838 8097 10796 11676 16194 18893 32388 37786 56679 75572 113358 226716 375161 750322 1125483 1500644 2250966 2626127 4501932 5252254 7878381 10504508 13404163 15756762 26808326 31513524 40212489 53616652 80424978 93829141 160849956 187658282 281487423 375316564 562974846 1125949692 1863178657 3726357314 5589535971 7452714628 11179071942 13042250599 22358143884 26084501198 36177835937 39126751797 52169002396 72355671874 78253503594 108533507811 144711343748 156507007188 217067015622 253244851559 434134031244 506489703118 759734554677 1012979406236 1519469109354 3038938218708 5028719195243 10057438390486 15086157585729 20114876780972 30172315171458 35201034366701 60344630342916 70402068733402 105603103100103 140804137466804 211206206200206 422412412400412