Search a number
-
+
1880430034314 = 2313196122990833
BaseRepresentation
bin11011010111010010010…
…111010011110110001010
320122202201101212020122110
4123113102113103312022
5221302110042044224
63555505125403150
7252566544365016
oct33272227236612
96582641766573
101880430034314
11665538805927
122645342694b6
131084294a60a0
14670286c9546
1533daab6e929
hex1b5d25d3d8a

1880430034314 has 128 divisors (see below), whose sum is σ = 4352183942400. Its totient is φ = 536795320320.

The previous prime is 1880430034313. The next prime is 1880430034337. The reversal of 1880430034314 is 4134300340881.

It is a super-2 number, since 2×18804300343142 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1880430034313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20656642 + ... + 20747474.

It is an arithmetic number, because the mean of its divisors is an integer number (34001437050).

Almost surely, 21880430034314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1880430034314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176091971200).

1880430034314 is an abundant number, since it is smaller than the sum of its proper divisors (2471753908086).

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

1880430034314 is a wasteful number, since it uses less digits than its factorization.

1880430034314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91160.

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 1880430034314 in words is "one trillion, eight hundred eighty billion, four hundred thirty million, thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 61 78 114 122 183 229 247 366 458 494 687 741 793 1159 1374 1482 1586 2318 2379 2977 3477 4351 4758 5954 6954 8702 8931 13053 13969 15067 17862 26106 27938 30134 41907 45201 56563 83814 90402 90833 113126 169689 181597 181666 265411 272499 339378 363194 530822 544791 544998 796233 1089582 1180829 1592466 1725827 2361658 3450343 3451654 3542487 5177481 5540813 6900686 7084974 10351029 10354962 11081626 16622439 20702058 20800757 22435751 33244878 41601514 44871502 62402271 67307253 72030569 105275447 124804542 134614506 144061138 210550894 216091707 270409841 315826341 395214383 432183414 540819682 631652682 790428766 811229523 1185643149 1268846177 1368580811 1622459046 2371286298 2537692354 2737161622 3806538531 4105742433 5137786979 7613077062 8211484866 10275573958 15413360937 16495000301 24108077363 30826721874 32990000602 48216154726 49485000903 72324232089 98970001806 144648464178 313405005719 626810011438 940215017157 1880430034314