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141461346 = 231319531801
BaseRepresentation
bin10000110111010…
…00011101100010
3100212011222111010
420123220131202
5242203230341
622012001350
73335254515
oct1033503542
9325158433
10141461346
1172940004
123b460256
13233cc550
1414b04d7c
15c644716
hex86e8762

141461346 has 64 divisors (see below), whose sum is σ = 326954880. Its totient is φ = 40435200.

The previous prime is 141461329. The next prime is 141461377. The reversal of 141461346 is 643164141.

It is a super-2 number, since 2×1414613462 = 40022624824263432, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 77646 + ... + 79446.

It is an arithmetic number, because the mean of its divisors is an integer number (5108670).

Almost surely, 2141461346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141461346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163477440).

141461346 is an abundant number, since it is smaller than the sum of its proper divisors (185493534).

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

141461346 is a wasteful number, since it uses less digits than its factorization.

141461346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891.

The product of its digits is 6912, while the sum is 30.

The square root of 141461346 is about 11893.7523935888. The cubic root of 141461346 is about 521.0498341791.

The spelling of 141461346 in words is "one hundred forty-one million, four hundred sixty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 13 19 26 38 39 53 57 78 106 114 159 247 318 494 689 741 1007 1378 1482 1801 2014 2067 3021 3602 4134 5403 6042 10806 13091 23413 26182 34219 39273 46826 68438 70239 78546 95453 102657 140478 190906 205314 286359 444847 572718 889694 1240889 1334541 1813607 2481778 2669082 3627214 3722667 5440821 7445334 10881642 23576891 47153782 70730673 141461346