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31445442801 = 32107163200329
BaseRepresentation
bin11101010010010010…
…110110000011110001
310000011111011000010200
4131102102312003301
51003400013132201
622240144545413
72162150565543
oct352222660361
9100144130120
1031445442801
1112377150663
126117022269
132c719948b6
1417443c9693
15c40998386
hex7524b60f1

31445442801 has 24 divisors (see below), whose sum is σ = 46127184480. Its totient is φ = 20640194496.

The previous prime is 31445442797. The next prime is 31445442803. The reversal of 31445442801 is 10824454413.

31445442801 is a `hidden beast` number, since 31 + 4 + 4 + 544 + 2 + 80 + 1 = 666.

It is not a de Polignac number, because 31445442801 - 22 = 31445442797 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31445442803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56805 + ... + 257133.

It is an arithmetic number, because the mean of its divisors is an integer number (1921966020).

Almost surely, 231445442801 is an apocalyptic number.

It is an amenable number.

31445442801 is a deficient number, since it is larger than the sum of its proper divisors (14681741679).

31445442801 is a wasteful number, since it uses less digits than its factorization.

31445442801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200605 (or 200602 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 31445442801 in words is "thirty-one billion, four hundred forty-five million, four hundred forty-two thousand, eight hundred one".

Divisors: 1 3 9 107 163 321 489 963 1467 17441 52323 156969 200329 600987 1802961 21435203 32653627 64305609 97960881 192916827 293882643 3493938089 10481814267 31445442801