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442372602144 = 25311418913449
BaseRepresentation
bin1100110111111110111…
…01100011100100100000
31120021211201002120202210
412123333131203210200
524221434341232034
6535120112042120
743650256035144
oct6337735434440
91507751076683
10442372602144
1116067788a560
1271899833340
133293c105aa5
14175a78db224
15b7918438e9
hex66ff763920

442372602144 has 48 divisors (see below), whose sum is σ = 1266794272800. Its totient is φ = 134052303360.

The previous prime is 442372602103. The next prime is 442372602149. The reversal of 442372602144 is 441206273244.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (442372602149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209455669 + ... + 209457780.

It is an arithmetic number, because the mean of its divisors is an integer number (26391547350).

Almost surely, 2442372602144 is an apocalyptic number.

442372602144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442372602144 is an abundant number, since it is smaller than the sum of its proper divisors (824421670656).

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

442372602144 is a wasteful number, since it uses less digits than its factorization.

442372602144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418913473 (or 418913465 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

Adding to 442372602144 its reverse (441206273244), we get a palindrome (883578875388).

The spelling of 442372602144 in words is "four hundred forty-two billion, three hundred seventy-two million, six hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 418913449 837826898 1256740347 1675653796 2513480694 3351307592 4608047939 5026961388 6702615184 9216095878 10053922776 13405230368 13824143817 18432191756 20107845552 27648287634 36864383512 40215691104 55296575268 73728767024 110593150536 147457534048 221186301072 442372602144