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31444442001 = 337679124499
BaseRepresentation
bin11101010010001111…
…000001101110010001
310000011102021011022000
4131102033001232101
51003344234121001
622240111304213
72162136230010
oct352217015621
9100142234260
1031444442001
1112376627755
12611681b069
132c717041cb
141744208a77
15c4084ba86
hex7523c1b91

31444442001 has 32 divisors (see below), whose sum is σ = 53249280000. Its totient is φ = 17964873360.

The previous prime is 31444441997. The next prime is 31444442011. The reversal of 31444442001 is 10024444413.

31444442001 is a `hidden beast` number, since 3 + 14 + 4 + 444 + 200 + 1 = 666.

It is not a de Polignac number, because 31444442001 - 22 = 31444441997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31444442011) 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 31 ways as a sum of consecutive naturals, for example, 1271250 + ... + 1295748.

It is an arithmetic number, because the mean of its divisors is an integer number (1664040000).

Almost surely, 231444442001 is an apocalyptic number.

It is an amenable number.

31444442001 is a deficient number, since it is larger than the sum of its proper divisors (21804837999).

31444442001 is a wasteful number, since it uses less digits than its factorization.

31444442001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31306 (or 31300 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 31444442001 its reverse (10024444413), we get a palindrome (41468886414).

The spelling of 31444442001 in words is "thirty-one billion, four hundred forty-four million, four hundred forty-two thousand, one".

Divisors: 1 3 7 9 21 27 63 189 6791 20373 24499 47537 61119 73497 142611 171493 183357 220491 427833 514479 661473 1283499 1543437 4630311 166372709 499118127 1164608963 1497354381 3493826889 4492063143 10481480667 31444442001