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141653106 = 232710111131
BaseRepresentation
bin10000111000101…
…11010001110010
3100212112201112100
420130113101302
5242230344411
622020041230
73340013550
oct1034272162
9325481470
10141653106
1172a61091
123b533216
132346890a
1414b54bd0
15c681456
hex8717472

141653106 has 48 divisors (see below), whose sum is σ = 354264768. Its totient is φ = 40068000.

The previous prime is 141653101. The next prime is 141653123. The reversal of 141653106 is 601356141.

141653106 is a `hidden beast` number, since 1 + 4 + 1 + 653 + 1 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 141653106.

It is not an unprimeable number, because it can be changed into a prime (141653101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7161 + ... + 18291.

It is an arithmetic number, because the mean of its divisors is an integer number (7380516).

Almost surely, 2141653106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141653106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177132384).

141653106 is an abundant number, since it is smaller than the sum of its proper divisors (212611662).

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

141653106 is a wasteful number, since it uses less digits than its factorization.

141653106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11247 (or 11244 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 141653106 is about 11901.8110386613. The cubic root of 141653106 is about 521.2851667870.

It can be divided in two parts, 14165 and 3106, that added together give a palindrome (17271).

The spelling of 141653106 in words is "one hundred forty-one million, six hundred fifty-three thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 6363 11131 12726 22262 33393 66786 77917 100179 155834 200358 233751 467502 701253 1124231 1402506 2248462 3372693 6745386 7869617 10118079 15739234 20236158 23608851 47217702 70826553 141653106