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1033224415340 = 2251319333761099
BaseRepresentation
bin11110000100100001111…
…10010110100001101100
310122202221012000121011112
433002100332112201230
5113412020422242330
62110353505011152
7134435156423465
oct17022076264154
93582835017145
101033224415340
11369208278997
121482b4923ab8
137658169a4c0
1438018bd3d6c
151bd234b2795
hexf090f9686c

1033224415340 has 96 divisors (see below), whose sum is σ = 2355792129600. Its totient is φ = 378389200896.

The previous prime is 1033224415337. The next prime is 1033224415351. The reversal of 1033224415340 is 435144223301.

It is a junction number, because it is equal to n+sod(n) for n = 1033224415297 and 1033224415306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16880111 + ... + 16941209.

It is an arithmetic number, because the mean of its divisors is an integer number (24539501350).

Almost surely, 21033224415340 is an apocalyptic number.

1033224415340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033224415340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177896064800).

1033224415340 is an abundant number, since it is smaller than the sum of its proper divisors (1322567714260).

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

1033224415340 is a wasteful number, since it uses less digits than its factorization.

1033224415340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61651 (or 61649 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 1033224415340 its reverse (435144223301), we get a palindrome (1468368638641).

The spelling of 1033224415340 in words is "one trillion, thirty-three billion, two hundred twenty-four million, four hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 337 386 674 772 965 1348 1685 1930 2509 3370 3860 4381 5018 6740 8762 10036 12545 17524 21905 25090 43810 50180 61099 65041 87620 122198 130082 244396 260164 305495 325205 610990 650410 794287 845533 1221980 1300820 1588574 1691066 3177148 3382132 3971435 4227665 7942870 8455330 11792107 15885740 16910660 20590363 23584214 41180726 47168428 58960535 82361452 102951815 117921070 153297391 205903630 235842140 267674719 306594782 411807260 535349438 613189564 766486955 1070698876 1338373595 1532973910 2676747190 3065947820 3973940059 5353494380 7947880118 15895760236 19869700295 39739400590 51661220767 79478801180 103322441534 206644883068 258306103835 516612207670 1033224415340