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31344430420041 = 33110327133136479
BaseRepresentation
bin1110010000001111100011…
…01001000001000001001001
311002222111110020201101221220
413020013301221001001021
513102021343141420131
6150355233232552253
76413363130405114
oct710076151010111
9132874406641856
1031344430420041
119a95109908452
1236229163b2689
1314649c844015b
147a511569957b
1539551962ce96
hex1c81f1a41049

31344430420041 has 64 divisors (see below), whose sum is σ = 43853587415040. Its totient is φ = 19891161576000.

The previous prime is 31344430420021. The next prime is 31344430420063. The reversal of 31344430420041 is 14002403444313.

It is not a de Polignac number, because 31344430420041 - 26 = 31344430419977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31344430419984 and 31344430420011.

It is not an unprimeable number, because it can be changed into a prime (31344430420001) 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 63 ways as a sum of consecutive naturals, for example, 859227640 + ... + 859264118.

It is an arithmetic number, because the mean of its divisors is an integer number (685212303360).

Almost surely, 231344430420041 is an apocalyptic number.

31344430420041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31344430420041 is a deficient number, since it is larger than the sum of its proper divisors (12509156994999).

31344430420041 is a wasteful number, since it uses less digits than its factorization.

31344430420041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37218.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 31344430420041 its reverse (14002403444313), we get a palindrome (45346833864354).

The spelling of 31344430420041 in words is "thirty-one trillion, three hundred forty-four billion, four hundred thirty million, four hundred twenty thousand, forty-one".

Divisors: 1 3 31 93 103 271 309 331 813 993 3193 8401 9579 10261 25203 27913 30783 34093 36479 83739 89701 102279 109437 269103 865303 1056883 1130849 2595909 2780731 3170649 3392547 3757337 8342193 9239203 9885809 11272011 12074549 27717609 29657427 36223647 116477447 286415293 306460079 349432341 374311019 859245879 919380237 1018238327 1122933057 1243678547 3054714981 3272202779 3731035641 9816608337 31565388137 38554034957 94696164411 101438286149 115662104871 304314858447 337036886237 1011110658711 10448143473347 31344430420041