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141410016 = 25331114879
BaseRepresentation
bin10000110110110…
…11111011100000
3100212002101002000
420123123323200
5242200110031
622010524000
73334652046
oct1033337340
9325071060
10141410016
1172905490
123b436600
13233b2087
1414ad0396
15c6343e6
hex86dbee0

141410016 has 96 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 42848640.

The previous prime is 141409993. The next prime is 141410021. The reversal of 141410016 is 610014141.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2065 + ... + 16943.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2141410016 is an apocalyptic number.

141410016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

141410016 is an abundant number, since it is smaller than the sum of its proper divisors (308561184).

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

141410016 is a wasteful number, since it uses less digits than its factorization.

141410016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14909 (or 14895 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 141410016 is about 11891.5943422234. The cubic root of 141410016 is about 520.9868046560.

Adding to 141410016 its reverse (610014141), we get a palindrome (751424157).

The spelling of 141410016 in words is "one hundred forty-one million, four hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 14879 29758 44637 59516 89274 119032 133911 163669 178548 238064 267822 327338 357096 401733 476128 491007 535644 654676 714192 803466 982014 1071288 1309352 1428384 1473021 1606932 1964028 2142576 2618704 2946042 3213864 3928056 4285152 4419063 5237408 5892084 6427728 7856112 8838126 11784168 12855456 15712224 17676252 23568336 35352504 47136672 70705008 141410016