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10144433145 = 357119790547
BaseRepresentation
bin10010111001010011…
…11100001111111001
3222011222112121011010
421130221330033321
5131233433330040
64354342224133
7506250154560
oct113451741771
928158477133
1010144433145
1143362a4850
121b71425049
13c588ba582
146c33dcbd7
153e58dce80
hex25ca7c3f9

10144433145 has 64 divisors (see below), whose sum is σ = 20445014016. Its totient is φ = 4172359680.

The previous prime is 10144433129. The next prime is 10144433161. The reversal of 10144433145 is 54133444101.

It is an interprime number because it is at equal distance from previous prime (10144433129) and next prime (10144433161).

It is not a de Polignac number, because 10144433145 - 24 = 10144433129 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66762 + ... + 157308.

It is an arithmetic number, because the mean of its divisors is an integer number (319453344).

Almost surely, 210144433145 is an apocalyptic number.

10144433145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10144433145 is an abundant number, since it is smaller than the sum of its proper divisors (10300580871).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10144433145 is a wasteful number, since it uses less digits than its factorization.

10144433145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90670.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10144433145 its reverse (54133444101), we get a palindrome (64277877246).

The spelling of 10144433145 in words is "ten billion, one hundred forty-four million, four hundred thirty-three thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 97 105 165 231 291 385 485 679 1067 1155 1455 2037 3201 3395 5335 7469 10185 16005 22407 37345 90547 112035 271641 452735 633829 996017 1358205 1901487 2988051 3169145 4980085 6972119 8783059 9507435 14940255 20916357 26349177 34860595 43915295 61481413 96613649 104581785 131745885 184444239 289840947 307407065 483068245 676295543 922221195 1449204735 2028886629 3381477715 10144433145