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2153243511441 = 331123137615653
BaseRepresentation
bin11111010101010111010…
…100001000101010010001
321121211220020112211002000
4133111113110020222101
5240234320314331231
64325104133144213
7311365244600631
oct37252724105221
97554806484060
102153243511441
11760204911100
122a9390a8b069
13128085aa8269
1476308d146c1
153b0267026e6
hex1f557508a91

2153243511441 has 96 divisors (see below), whose sum is σ = 3621064043520. Its totient is φ = 1262340288000.

The previous prime is 2153243511427. The next prime is 2153243511443. The reversal of 2153243511441 is 1441153423512.

2153243511441 is a `hidden beast` number, since 2 + 1 + 532 + 4 + 3 + 5 + 114 + 4 + 1 = 666.

It is not a de Polignac number, because 2153243511441 - 226 = 2153176402577 is a prime.

It is a super-3 number, since 3×21532435114413 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2153243511396 and 2153243511405.

It is not an unprimeable number, because it can be changed into a prime (2153243511443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380899971 + ... + 380905623.

It is an arithmetic number, because the mean of its divisors is an integer number (37719417120).

Almost surely, 22153243511441 is an apocalyptic number.

It is an amenable number.

2153243511441 is a deficient number, since it is larger than the sum of its proper divisors (1467820532079).

2153243511441 is a wasteful number, since it uses less digits than its factorization.

2153243511441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9476 (or 9459 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 2153243511441 its reverse (1441153423512), we get a palindrome (3594396934953).

The spelling of 2153243511441 in words is "two trillion, one hundred fifty-three billion, two hundred forty-three million, five hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 31 33 93 99 121 279 297 341 363 837 1023 1089 3069 3267 3751 3761 5653 9207 11253 11283 16959 33759 33849 41371 50877 62183 101277 101547 116591 124113 152631 175243 186549 349773 372339 455081 525729 559647 684013 1049319 1117017 1282501 1365243 1577187 1678941 1927673 2052039 3147957 3847503 4095729 4731561 5783019 6156117 11542509 12287187 14107511 17349057 18468351 21204403 21260933 34627527 42322533 52047171 63613209 63782799 126967599 190839627 191348397 233870263 380902797 572518881 574045191 659088923 701610789 1977266769 2104832367 2572572893 5931800307 6314497101 7249978153 7717718679 17795400921 21749934459 23153156037 65249803377 69459468111 79749759683 195749410131 239249279049 717747837147 2153243511441