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13320253044 = 22327612333719
BaseRepresentation
bin11000110011111001…
…01110111001110100
31021101022101222001100
430121330232321310
5204234441044134
610041431130100
7651042165660
oct143174567164
937338358040
1013320253044
115715a3229a
1226b8b13930
131343841147
149050d18a0
1552e611999
hex319f2ee74

13320253044 has 144 divisors (see below), whose sum is σ = 39289985280. Its totient is φ = 3726328320.

The previous prime is 13320253021. The next prime is 13320253081. The reversal of 13320253044 is 44035202331.

13320253044 is a `hidden beast` number, since 1 + 332 + 0 + 25 + 304 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13320252999 and 13320253017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3579817 + ... + 3583535.

It is an arithmetic number, because the mean of its divisors is an integer number (272847120).

Almost surely, 213320253044 is an apocalyptic number.

13320253044 is a gapful number since it is divisible by the number (14) 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 13320253044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19644992640).

13320253044 is an abundant number, since it is smaller than the sum of its proper divisors (25969732236).

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

13320253044 is a wasteful number, since it uses less digits than its factorization.

13320253044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 13320253044 its reverse (44035202331), we get a palindrome (57355455375).

The spelling of 13320253044 in words is "thirteen billion, three hundred twenty million, two hundred fifty-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 233 244 252 366 427 466 549 699 732 854 932 1098 1281 1398 1631 1708 2097 2196 2562 2796 3262 3719 3843 4194 4893 5124 6524 7438 7686 8388 9786 11157 14213 14679 14876 15372 19572 22314 26033 28426 29358 33471 42639 44628 52066 56852 58716 66942 78099 85278 99491 104132 127917 133884 156198 170556 198982 226859 234297 255834 298473 312396 397964 453718 468594 511668 596946 680577 866527 895419 907436 937188 1193892 1361154 1588013 1733054 1790838 2041731 2599581 2722308 3176026 3466108 3581676 4083462 4764039 5199162 6065689 6352052 7798743 8166924 9528078 10398324 12131378 14292117 15597486 18197067 19056156 24262756 28584234 31194972 36394134 52858147 54591201 57168468 72788268 105716294 109182402 158574441 211432588 218364804 317148882 370007029 475723323 634297764 740014058 951446646 1110021087 1480028116 1902893292 2220042174 3330063261 4440084348 6660126522 13320253044