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141315408 = 24331325163
BaseRepresentation
bin10000110110001…
…00110101010000
3100211220120022000
420123010311100
5242134043113
622004514000
73334106163
oct1033046520
9324816260
10141315408
11728503a3
123b3ab900
132337acb0
1414aa7ada
15c616373
hex86c4d50

141315408 has 80 divisors (see below), whose sum is σ = 436847040. Its totient is φ = 43479936.

The previous prime is 141315367. The next prime is 141315409. The reversal of 141315408 is 804513141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141315409) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6966 + ... + 18197.

It is an arithmetic number, because the mean of its divisors is an integer number (5460588).

Almost surely, 2141315408 is an apocalyptic number.

141315408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

141315408 is an abundant number, since it is smaller than the sum of its proper divisors (295531632).

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

141315408 is a wasteful number, since it uses less digits than its factorization.

141315408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25193 (or 25181 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 141315408 is about 11887.6157407615. The cubic root of 141315408 is about 520.8705929071.

Adding to 141315408 its reverse (804513141), we get a palindrome (945828549).

The spelling of 141315408 in words is "one hundred forty-one million, three hundred fifteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 25163 50326 75489 100652 150978 201304 226467 301956 327119 402608 452934 603912 654238 679401 905868 981357 1207824 1308476 1358802 1811736 1962714 2616952 2717604 2944071 3623472 3925428 5233904 5435208 5888142 7850856 8832213 10870416 11776284 15701712 17664426 23552568 35328852 47105136 70657704 141315408