Search a number
-
+
4222111101400 = 2352130130015407
BaseRepresentation
bin111101011100001001011…
…011101011000111011000
3112221122000011220201101001
4331130021123223013120
51023133340420221100
612551335553434344
7614015564135443
oct75341133530730
915848004821331
104222111101400
111388650712595
1258233456b9b4
132481b2c9935a
141084cbc4265a
1574c606a6d6a
hex3d7096eb1d8

4222111101400 has 96 divisors (see below), whose sum is σ = 9829044650880. Its totient is φ = 1686672000000.

The previous prime is 4222111101379. The next prime is 4222111101407. The reversal of 4222111101400 is 41011112224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222111101407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780857497 + ... + 780862903.

It is an arithmetic number, because the mean of its divisors is an integer number (102385881780).

Almost surely, 24222111101400 is an apocalyptic number.

4222111101400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4222111101400 is an abundant number, since it is smaller than the sum of its proper divisors (5606933549480).

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

4222111101400 is a wasteful number, since it uses less digits than its factorization.

4222111101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9725 (or 9716 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 4222111101400 its reverse (41011112224), we get a palindrome (4263122213624).

The spelling of 4222111101400 in words is "four trillion, two hundred twenty-two billion, one hundred eleven million, one hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1301 2602 3001 5204 5407 6002 6505 10408 10814 12004 13010 15005 21628 24008 26020 27035 30010 32525 43256 52040 54070 60020 65050 75025 108140 120040 130100 135175 150050 216280 260200 270350 300100 540700 600200 1081400 3904301 7034507 7808602 14069014 15617204 16226407 19521505 28138028 31234408 32452814 35172535 39043010 56276056 64905628 70345070 78086020 81132035 97607525 129811256 140690140 156172040 162264070 175862675 195215050 281380280 324528140 351725350 390430100 405660175 649056280 703450700 780860200 811320350 1406901400 1622640700 3245281400 21110555507 42221111014 84442222028 105552777535 168884444056 211105555070 422211110140 527763887675 844422220280 1055527775350 2111055550700 4222111101400