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2141011655024 = 2411415916730113
BaseRepresentation
bin11111001001111110001…
…111010011100101110000
321120200022210011010111212
4133021332033103211300
5240034242440430044
64315322302055252
7310453156536644
oct37117617234560
97520283133455
102141011655024
11755aa8299360
122a6b3857a528
13126b868b44b8
14758a85c0c24
153aa5c933a9e
hex1f27e3d3970

2141011655024 has 160 divisors (see below), whose sum is σ = 4742651450880. Its totient is φ = 927738675200.

The previous prime is 2141011655023. The next prime is 2141011655047. The reversal of 2141011655024 is 4205561101412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141011655021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71084192 + ... + 71114304.

It is an arithmetic number, because the mean of its divisors is an integer number (29641571568).

Almost surely, 22141011655024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141011655024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371325725440).

2141011655024 is an abundant number, since it is smaller than the sum of its proper divisors (2601639795856).

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

2141011655024 is a wasteful number, since it uses less digits than its factorization.

2141011655024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30399 (or 30393 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 2141011655024 its reverse (4205561101412), we get a palindrome (6346572756436).

The spelling of 2141011655024 in words is "two trillion, one hundred forty-one billion, eleven million, six hundred fifty-five thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 41 44 59 82 88 118 164 167 176 236 328 334 451 472 649 656 668 902 944 1298 1336 1804 1837 2419 2596 2672 3608 3674 4838 5192 6847 7216 7348 9676 9853 10384 13694 14696 19352 19706 26609 27388 29392 30113 38704 39412 53218 54776 60226 75317 78824 106436 108383 109552 120452 150634 157648 212872 216766 240904 301268 331243 403973 425744 433532 481808 602536 662486 807946 867064 1205072 1234633 1324972 1615892 1734128 1776667 2469266 2649944 3231784 3553334 4443703 4938532 5028871 5299888 6463568 7106668 8887406 9877064 10057742 13580963 14213336 17774812 19543337 19754128 20115484 27161926 28426672 35549624 39086674 40230968 54323852 55317581 71099248 72843347 78173348 80461936 108647704 110635162 145686694 156346696 206183711 217295408 221270324 291373388 296703389 312693392 412367422 442540648 582746776 593406778 801276817 824734844 885081296 1165493552 1186813556 1602553634 1649469688 2268020821 2373627112 3205107268 3263737279 3298939376 4536041642 4747254224 6410214536 6527474558 9072083284 12164838949 12820429072 13054949116 18144166568 24329677898 26109898232 36288333136 48659355796 52219796464 97318711592 133813228439 194637423184 267626456878 535252913756 1070505827512 2141011655024