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200030144321142 = 2353158972251471
BaseRepresentation
bin101101011110110100100101…
…101100100101011001110110
3222020020200202200111020100000
4231132310211230211121312
5202204243213421234032
61545232325114532130
760063462306651642
oct5536644554453166
9866220680436300
10200030144321142
115881034276aa53
121a527222737046
13877c9b95150b5
1437577212b9c22
15181d39a6c4e7c
hexb5ed25b25676

200030144321142 has 96 divisors (see below), whose sum is σ = 464027730776064. Its totient is φ = 64514882203200.

The previous prime is 200030144321107. The next prime is 200030144321143. The reversal of 200030144321142 is 241123441030002.

200030144321142 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 3 + 0 + 1 + 443 + 211 + 4 + 2 = 666.

It is a super-2 number, since 2×2000301443211422 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200030144321143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87718467 + ... + 89969937.

It is an arithmetic number, because the mean of its divisors is an integer number (4833622195584).

Almost surely, 2200030144321142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200030144321142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232013865388032).

200030144321142 is an abundant number, since it is smaller than the sum of its proper divisors (263997586454922).

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

200030144321142 is a wasteful number, since it uses less digits than its factorization.

200030144321142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257416 (or 2257404 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 200030144321142 its reverse (241123441030002), we get a palindrome (441153585351144).

The spelling of 200030144321142 in words is "two hundred trillion, thirty billion, one hundred forty-four million, three hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2511 5022 5897 7533 11794 15066 17691 35382 53073 106146 159219 182807 318438 365614 477657 548421 955314 1096842 1432971 1645263 2251471 2865942 3290526 4502942 4935789 6754413 9871578 13508826 14807367 20263239 29614734 40526478 44422101 60789717 69795601 88844202 121579434 139591202 182369151 209386803 364738302 418773606 547107453 628160409 1094214906 1256320818 1884481227 3768962454 5653443681 11306887362 13276924487 16960331043 26553848974 33920662086 39830773461 79661546922 119492320383 238984640766 358476961149 411584659097 716953922298 823169318194 1075430883447 1234753977291 2150861766894 2469507954582 3226292650341 3704261931873 6452585300682 7408523863746 11112785795619 22225571591238 33338357386857 66676714773714 100015072160571 200030144321142