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141145410 = 23573971693
BaseRepresentation
bin10000110100110…
…11010101000010
3100211120221002210
420122123111002
5242113123120
622001122550
73332500440
oct1032332502
9324527083
10141145410
11727446aa
123b329456
132331b7c3
1414a61b90
15c5d0ce0
hex869b542

141145410 has 64 divisors (see below), whose sum is σ = 388346112. Its totient is φ = 32161536.

The previous prime is 141145409. The next prime is 141145439. The reversal of 141145410 is 14541141.

141145410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82524 + ... + 84216.

It is an arithmetic number, because the mean of its divisors is an integer number (6067908).

Almost surely, 2141145410 is an apocalyptic number.

141145410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141145410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194173056).

141145410 is an abundant number, since it is smaller than the sum of its proper divisors (247200702).

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

141145410 is a wasteful number, since it uses less digits than its factorization.

141145410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 141145410 is about 11880.4633748015. The cubic root of 141145410 is about 520.6616454411.

Adding to 141145410 its reverse (14541141), we get a palindrome (155686551).

The spelling of 141145410 in words is "one hundred forty-one million, one hundred forty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 397 794 1191 1693 1985 2382 2779 3386 3970 5079 5558 5955 8337 8465 10158 11851 11910 13895 16674 16930 23702 25395 27790 35553 41685 50790 59255 71106 83370 118510 177765 355530 672121 1344242 2016363 3360605 4032726 4704847 6721210 9409694 10081815 14114541 20163630 23524235 28229082 47048470 70572705 141145410