Search a number
-
+
1145044533344 = 252316317355171
BaseRepresentation
bin10000101010011001111…
…110010000000001100000
311001110120010022011001112
4100222121332100001200
5122230022400031334
62234005354122452
7145504161641435
oct20523176200140
94043503264045
101145044533344
11401679873658
12165b01120428
1383c91cac4ba
143d5c5a09b8c
151ebba2894ce
hex10a99f90060

1145044533344 has 96 divisors (see below), whose sum is σ = 2380474946304. Its totient is φ = 541114421760.

The previous prime is 1145044533343. The next prime is 1145044533359. The reversal of 1145044533344 is 4433354405411.

It is a super-2 number, since 2×11450445333442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145044533341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20726879 + ... + 20782049.

It is an arithmetic number, because the mean of its divisors is an integer number (24796614024).

Almost surely, 21145044533344 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 1145044533344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190237473152).

1145044533344 is an abundant number, since it is smaller than the sum of its proper divisors (1235430412960).

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

1145044533344 is a wasteful number, since it uses less digits than its factorization.

1145044533344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55540 (or 55532 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 1145044533344 its reverse (4433354405411), we get a palindrome (5578398938755).

The spelling of 1145044533344 in words is "one trillion, one hundred forty-five billion, forty-four million, five hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 92 163 173 184 326 346 368 652 692 736 1304 1384 2608 2768 3749 3979 5216 5536 7498 7958 14996 15916 28199 29992 31832 55171 56398 59984 63664 110342 112796 119968 127328 220684 225592 441368 451184 648577 882736 902368 1268933 1297154 1765472 2537866 2594308 5075732 5188616 8992873 9544583 10151464 10377232 17985746 19089166 20302928 20754464 35971492 38178332 40605856 71942984 76356664 143885968 152713328 206836079 219525409 287771936 305426656 413672158 439050818 827344316 878101636 1555767029 1654688632 1756203272 3111534058 3309377264 3512406544 6223068116 6618754528 7024813088 12446136232 24892272464 35782641667 49784544928 71565283334 143130566668 286261133336 572522266672 1145044533344