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43422222222401 = 11229101261746817
BaseRepresentation
bin10011101111110000001100…
…01000011000010001000001
312200202010100022210112001112
421313320012020120101001
521142412202342104101
6232203520555213105
712101103101011211
oct1167700610302101
9180663308715045
1043422222222401
111292129647a800
124a53626447195
131b2c90c622b09
14aa190aa40241
155047a1c316bb
hex277e06218441

43422222222401 has 48 divisors (see below), whose sum is σ = 49883344877520. Its totient is φ = 37720962048000.

The previous prime is 43422222222389. The next prime is 43422222222451. The reversal of 43422222222401 is 10422222222434.

It can be written as a sum of positive squares in 8 ways, for example, as 20199451584400 + 23222770638001 = 4494380^2 + 4819001^2 .

It is not a de Polignac number, because 43422222222401 - 210 = 43422222221377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (43422222222451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927464945 + ... + 927511761.

It is an arithmetic number, because the mean of its divisors is an integer number (1039236351615).

Almost surely, 243422222222401 is an apocalyptic number.

It is an amenable number.

43422222222401 is a deficient number, since it is larger than the sum of its proper divisors (6461122655119).

43422222222401 is a wasteful number, since it uses less digits than its factorization.

43422222222401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49586 (or 49575 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 43422222222401 its reverse (10422222222434), we get a palindrome (53844444444835).

The spelling of 43422222222401 in words is "forty-three trillion, four hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, four hundred one".

Divisors: 1 11 29 101 121 319 1111 2617 2929 3509 12221 28787 32219 46817 75893 264317 316657 354409 514987 834823 1357693 2907487 4728517 5664857 7665193 9183053 14934623 31982357 52013687 84317123 122520089 137126993 164280853 572150557 927488353 1347720979 1508396923 3553082581 12374528989 14824930769 16592366153 39083908391 136119818879 358861340681 429922992301 1497318007669 3947474747491 43422222222401