Search a number
-
+
210443134121424 = 243237149326455181
BaseRepresentation
bin101111110110010110011100…
…010000010011010111010000
31000121010011111211220002020100
4233312112130100103113100
5210040400014313341144
62023324124032412400
762220005020604151
oct5766263420232720
91017104454802210
10210443134121424
1161065482a745a6
121b7293579a7100
13905691921bbb9
1439d770583d928
15194e1975eb269
hexbf659c4135d0

210443134121424 has 120 divisors (see below), whose sum is σ = 605271177779112. Its totient is φ = 68206110151680.

The previous prime is 210443134121413. The next prime is 210443134121557. The reversal of 210443134121424 is 424121431344012.

210443134121424 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 431 + 3 + 4 + 1 + 214 + 2 + 4 = 666.

210443134121424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90227961345600 + 120215172775824 = 9498840^2 + 10964268^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5272887 + ... + 21182294.

Almost surely, 2210443134121424 is an apocalyptic number.

210443134121424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210443134121424 is an abundant number, since it is smaller than the sum of its proper divisors (394828043657688).

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

210443134121424 is a wasteful number, since it uses less digits than its factorization.

210443134121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26456725 (or 26456716 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 210443134121424 its reverse (424121431344012), we get a palindrome (634564565465436).

The spelling of 210443134121424 in words is "two hundred ten trillion, four hundred forty-three billion, one hundred thirty-four million, one hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1493 1776 2664 2986 4479 5328 5972 8958 11944 13437 17916 23888 26874 35832 53748 55241 71664 107496 110482 165723 214992 220964 331446 441928 497169 662892 883856 994338 1325784 1988676 2651568 3977352 7954704 26455181 52910362 79365543 105820724 158731086 211641448 238096629 317462172 423282896 476193258 634924344 952386516 978841697 1269848688 1904773032 1957683394 2936525091 3809546064 3915366788 5873050182 7830733576 8809575273 11746100364 15661467152 17619150546 23492200728 35238301092 39497585233 46984401456 70476602184 78995170466 118492755699 140953204368 157990340932 236985511398 315980681864 355478267097 473971022796 631961363728 710956534194 947942045592 1421913068388 1461410653621 1895884091184 2843826136776 2922821307242 4384231960863 5687652273552 5845642614484 8768463921726 11691285228968 13152695882589 17536927843452 23382570457936 26305391765178 35073855686904 52610783530356 70147711373808 105221567060712 210443134121424