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105144636441 = 3132696016319
BaseRepresentation
bin110000111101100011…
…0111101010000011001
3101001101201011221201010
41201323012331100121
53210314011331231
6120145222244133
710411403443365
oct1417306752031
9331351157633
10105144636441
1140656451659
1218464886649
139bb860cb10
1451364122a5
152b05c11546
hex187b1bd419

105144636441 has 8 divisors (see below), whose sum is σ = 150976913920. Its totient is φ = 64704391632.

The previous prime is 105144636431. The next prime is 105144636469. The reversal of 105144636441 is 144636441501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105144636441 - 213 = 105144628249 is a prime.

It is a super-2 number, since 2×1051446364412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 2696016319 = 105144636441 / (1 + 0 + 5 + 1 + 4 + 4 + 6 + 3 + 6 + 4 + 4 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105144636441.

It is not an unprimeable number, because it can be changed into a prime (105144636431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1348008121 + ... + 1348008198.

It is an arithmetic number, because the mean of its divisors is an integer number (18872114240).

Almost surely, 2105144636441 is an apocalyptic number.

It is an amenable number.

105144636441 is a deficient number, since it is larger than the sum of its proper divisors (45832277479).

105144636441 is a wasteful number, since it uses less digits than its factorization.

105144636441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696016335.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 105144636441 in words is "one hundred five billion, one hundred forty-four million, six hundred thirty-six thousand, four hundred forty-one".

Divisors: 1 3 13 39 2696016319 8088048957 35048212147 105144636441