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13302111324440 = 23523271318716741
BaseRepresentation
bin1100000110010010001110…
…0111101100100100011000
31202002200002000020221200002
43001210203213230210120
53220420210444340230
644142523334432132
72542021501444631
oct301444347544430
952080060227602
1013302111324440
11426943706a324
1215aa056202648
137564cb03b513
1433db7b720888
15181042398545
hexc19239ec918

13302111324440 has 128 divisors (see below), whose sum is σ = 31357996369920. Its totient is φ = 5068829145600.

The previous prime is 13302111324413. The next prime is 13302111324547. The reversal of 13302111324440 is 4442311120331.

It is a congruent number.

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, 794574470 + ... + 794591210.

It is an arithmetic number, because the mean of its divisors is an integer number (244984346640).

Almost surely, 213302111324440 is an apocalyptic number.

13302111324440 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 13302111324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15678998184960).

13302111324440 is an abundant number, since it is smaller than the sum of its proper divisors (18055885045480).

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

13302111324440 is a wasteful number, since it uses less digits than its factorization.

13302111324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20233 (or 20229 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 13302111324440 its reverse (4442311120331), we get a palindrome (17744422444771).

The spelling of 13302111324440 in words is "thirteen trillion, three hundred two billion, one hundred eleven million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 271 460 542 920 1084 1355 2168 2710 3187 5420 6233 6374 10840 12466 12748 15935 16741 24932 25496 31165 31870 33482 49864 62330 63740 66964 73301 83705 124660 127480 133928 146602 167410 249320 293204 334820 366505 385043 586408 669640 733010 770086 863677 1466020 1540172 1727354 1925215 2932040 3080344 3454708 3850430 4318385 4536811 6909416 7700860 8636770 9073622 15401720 17273540 18147244 19864571 22684055 34547080 36294488 39729142 45368110 53353567 79458284 90736220 99322855 104346653 106707134 158916568 181472440 198645710 208693306 213414268 266767835 397291420 417386612 426828536 521733265 533535670 794582840 834773224 1043466530 1067071340 1227132041 2086933060 2134142680 2454264082 4173866120 4908528164 6135660205 9817056328 12271320410 14458816657 24542640820 28917633314 49085281640 57835266628 72294083285 115670533256 144588166570 289176333140 332552783111 578352666280 665105566222 1330211132444 1662763915555 2660422264888 3325527831110 6651055662220 13302111324440