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141404544 = 2732131937
BaseRepresentation
bin10000110110110…
…10100110000000
3100212002002120100
420123122212000
5242144421134
622010442400
73334630101
oct1033324600
9325062510
10141404544
1172901366
123b433400
13233ac738
1414acc3a8
15c632999
hex86da980

141404544 has 96 divisors (see below), whose sum is σ = 410450040. Its totient is φ = 46725120.

The previous prime is 141404519. The next prime is 141404573. The reversal of 141404544 is 445404141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150444 + ... + 151380.

Almost surely, 2141404544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141404544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205225020).

141404544 is an abundant number, since it is smaller than the sum of its proper divisors (269045496).

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

141404544 is a wasteful number, since it uses less digits than its factorization.

141404544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 141404544 is about 11891.3642615135. The cubic root of 141404544 is about 520.9800845366.

Adding to 141404544 its reverse (445404141), we get a palindrome (586808685).

The spelling of 141404544 in words is "one hundred forty-one million, four hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 262 288 384 393 524 576 786 937 1048 1152 1179 1572 1874 2096 2358 2811 3144 3748 4192 4716 5622 6288 7496 8384 8433 9432 11244 12576 14992 16768 16866 18864 22488 25152 29984 33732 37728 44976 50304 59968 67464 75456 89952 119936 122747 134928 150912 179904 245494 269856 359808 368241 490988 539712 736482 981976 1079424 1104723 1472964 1963952 2209446 2945928 3927904 4418892 5891856 7855808 8837784 11783712 15711616 17675568 23567424 35351136 47134848 70702272 141404544