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42731404441605 = 3251123107241114549
BaseRepresentation
bin10011011011101001011100…
…01011101011100000000101
312121022002020001021012002100
421231310232023223200011
521100102404014112410
6230514311452502313
712000146015526105
oct1155645613534005
9177262201235070
1042731404441605
1112685317890320
124961770a7a999
131aac728606199
14a7a2d5025205
154e181dd4b8c0
hex26dd2e2eb805

42731404441605 has 192 divisors, whose sum is σ = 85143430195200. Its totient is φ = 19622761382400.

The previous prime is 42731404441603. The next prime is 42731404441631. The reversal of 42731404441605 is 50614440413724.

42731404441605 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 1 + 40 + 444 + 160 + 5 = 666.

42731404441605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42731404441605 - 21 = 42731404441603 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42731404441603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2937060871 + ... + 2937075419.

It is an arithmetic number, because the mean of its divisors is an integer number (443455365600).

Almost surely, 242731404441605 is an apocalyptic number.

42731404441605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42731404441605 is a deficient number, since it is larger than the sum of its proper divisors (42412025753595).

42731404441605 is a wasteful number, since it uses less digits than its factorization.

42731404441605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17112 (or 17109 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 42731404441605 in words is "forty-two trillion, seven hundred thirty-one billion, four hundred four million, four hundred forty-one thousand, six hundred five".