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1124444013030 = 2325132152348541
BaseRepresentation
bin10000010111001110000…
…101100000000111100110
310222111101102210021210200
4100113032011200013212
5121410330131404110
62220321253331330
7144144525260442
oct20271605400746
93874342707720
101124444013030
113a3968370858
12161b12036b46
138205b086200
143c5cda83822
151e3b194b6c0
hex105ce1601e6

1124444013030 has 144 divisors (see below), whose sum is σ = 3167886258576. Its totient is φ = 276598782720.

The previous prime is 1124444012987. The next prime is 1124444013037. The reversal of 1124444013030 is 303104444211.

1124444013030 is a `hidden beast` number, since 11 + 244 + 4 + 401 + 3 + 0 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1124444012985 and 1124444013003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124444013037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23140560 + ... + 23189100.

It is an arithmetic number, because the mean of its divisors is an integer number (21999210129).

Almost surely, 21124444013030 is an apocalyptic number.

1124444013030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124444013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583943129288).

1124444013030 is an abundant number, since it is smaller than the sum of its proper divisors (2043442245546).

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

1124444013030 is a wasteful number, since it uses less digits than its factorization.

1124444013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50103 (or 50087 counting only the distinct ones).

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

Adding to 1124444013030 its reverse (303104444211), we get a palindrome (1427548457241).

The spelling of 1124444013030 in words is "one trillion, one hundred twenty-four billion, four hundred forty-four million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1523 1690 2535 3042 3046 4569 5070 7605 7615 9138 13707 15210 15230 19799 22845 27414 39598 45690 48541 59397 68535 97082 98995 118794 137070 145623 178191 197990 242705 257387 291246 296985 356382 436869 485410 514774 593970 631033 728115 772161 873738 890955 1262066 1286935 1456230 1544322 1781910 1893099 2184345 2316483 2573870 3155165 3786198 3860805 4368690 4632966 5679297 6310330 7721610 8203429 9465495 11358594 11582415 16406858 18930990 23164830 24610287 28396485 41017145 49220574 56792970 73830861 73927943 82034290 123051435 147661722 147855886 221783829 246102870 369154305 369639715 443567658 665351487 738308610 739279430 961063259 1108919145 1330702974 1922126518 2217838290 2883189777 3326757435 4805316295 5766379554 6653514870 8649569331 9610632590 12493822367 14415948885 17299138662 24987644734 28831897770 37481467101 43247846655 62469111835 74962934202 86495693310 112444401303 124938223670 187407335505 224888802606 374814671010 562222006515 1124444013030