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141313102434 = 23272773207269
BaseRepresentation
bin1000001110011011101…
…0101101001001100010
3111111202100112101122200
42003212322231021202
54303402123234214
6144530210114030
713131604360200
oct2034672551142
9444670471580
10141313102434
1154a26620469
122347957b916
131043093699a
146ba7ba0070
153a2114dd09
hex20e6ead262

141313102434 has 72 divisors (see below), whose sum is σ = 356629176540. Its totient is φ = 40322745792.

The previous prime is 141313102423. The next prime is 141313102451. The reversal of 141313102434 is 434201313141.

141313102434 is a `hidden beast` number, since 1 + 413 + 1 + 3 + 1 + 0 + 243 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95386469409 + 45926633025 = 308847^2 + 214305^2 .

It is a super-3 number, since 3×1413131024343 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141313102398 and 141313102407.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 578152 + ... + 785420.

Almost surely, 2141313102434 is an apocalyptic number.

141313102434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141313102434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178314588270).

141313102434 is an abundant number, since it is smaller than the sum of its proper divisors (215316074106).

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

141313102434 is a wasteful number, since it uses less digits than its factorization.

141313102434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208064 (or 208054 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 141313102434 its reverse (434201313141), we get a palindrome (575514415575).

The spelling of 141313102434 in words is "one hundred forty-one billion, three hundred thirteen million, one hundred two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 773 882 1546 2319 4638 5411 6957 10822 13914 16233 32466 37877 48699 75754 97398 113631 207269 227262 340893 414538 621807 681786 1243614 1450883 1865421 2901766 3730842 4352649 8705298 10156181 13057947 20312362 26115894 30468543 60937086 91405629 160218937 182811258 320437874 480656811 961313622 1121532559 1441970433 2243065118 2883940866 3364597677 6729195354 7850727913 10093793031 15701455826 20187586062 23552183739 47104367478 70656551217 141313102434