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422132442144 = 2537880371359
BaseRepresentation
bin1100010010010010000…
…11011110010000100000
31111100121010122220221020
412021021003132100200
523404011401122034
6521531443125440
742332556361260
oct6111103362040
91440533586836
10422132442144
111530308387a6
126998b373880
1330a64a5255a
141660777b7a0
15aea9989249
hex62490de420

422132442144 has 96 divisors (see below), whose sum is σ = 1266558935040. Its totient is φ = 120593878272.

The previous prime is 422132442139. The next prime is 422132442169. The reversal of 422132442144 is 441244231224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 5879937 + ... + 5951295.

It is an arithmetic number, because the mean of its divisors is an integer number (13193322240).

Almost surely, 2422132442144 is an apocalyptic number.

It is an amenable number.

422132442144 is an abundant number, since it is smaller than the sum of its proper divisors (844426492896).

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

422132442144 is a wasteful number, since it uses less digits than its factorization.

422132442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80182 (or 80174 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

Adding to 422132442144 its reverse (441244231224), we get a palindrome (863376673368).

The spelling of 422132442144 in words is "four hundred twenty-two billion, one hundred thirty-two million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 8803 17606 26409 35212 52818 61621 70424 71359 105636 123242 140848 142718 184863 211272 214077 246484 281696 285436 369726 422544 428154 492968 499513 570872 739452 845088 856308 985936 999026 1141744 1478904 1498539 1712616 1971872 1998052 2283488 2957808 2997078 3425232 3996104 5915616 5994156 6850464 7992208 11988312 15984416 23976624 47953248 628173277 1256346554 1884519831 2512693108 3769039662 4397212939 5025386216 7538079324 8794425878 10050772432 13191638817 15076158648 17588851756 20101544864 26383277634 30152317296 35177703512 52766555268 60304634592 70355407024 105533110536 140710814048 211066221072 422132442144