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13144411045430 = 25723311723152851
BaseRepresentation
bin1011111101000110101111…
…1100110111111000110110
31201112121000121100201210122
42333101223330313320312
53210324223211423210
643542243054251542
72524436521261430
oct277215374677066
951477017321718
1013144411045430
1142085713a7625
1215835847b6bb2
13744688379a62
1433629b405650
1517bdb2774b55
hexbf46bf37e36

13144411045430 has 128 divisors (see below), whose sum is σ = 29142855254016. Its totient is φ = 4169209968000.

The previous prime is 13144411045343. The next prime is 13144411045457. The reversal of 13144411045430 is 3454011444131.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85918505 + ... + 86071355.

It is an arithmetic number, because the mean of its divisors is an integer number (227678556672).

Almost surely, 213144411045430 is an apocalyptic number.

13144411045430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13144411045430 is an abundant number, since it is smaller than the sum of its proper divisors (15998444208586).

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

13144411045430 is a wasteful number, since it uses less digits than its factorization.

13144411045430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154642.

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 13144411045430 its reverse (3454011444131), we get a palindrome (16598422489561).

The spelling of 13144411045430 in words is "thirteen trillion, one hundred forty-four billion, four hundred eleven million, forty-five thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 23 31 35 46 62 70 115 155 161 217 230 310 322 434 713 805 1085 1426 1610 1723 2170 3446 3565 4991 7130 8615 9982 12061 17230 24122 24955 39629 49910 53413 60305 79258 106826 120610 152851 198145 267065 277403 305702 373891 396290 534130 554806 747782 764255 1069957 1228499 1387015 1528510 1869455 2139914 2456998 2774030 3515573 3738910 4738381 5349785 6142495 7031146 8599493 9476762 10699570 12284990 17198986 17577865 23691905 24609011 33168667 35155730 42997465 47383810 49218022 66337334 85994930 108982763 123045055 165843335 217965526 246090110 263362273 331686670 526724546 544913815 762879341 1089827630 1316811365 1525758682 1843535911 2633622730 3687071822 3814396705 6057332279 7628793410 8164230463 9217679555 12114664558 16328460926 18435359110 30286661395 40821152315 42401325953 57149613241 60573322790 81642304630 84802651906 114299226482 187777300649 212006629765 285748066205 375554601298 424013259530 571496132410 938886503245 1314441104543 1877773006490 2628882209086 6572205522715 13144411045430