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13144114143330 = 2351797537324757
BaseRepresentation
bin1011111101000101101001…
…0000010010000001100010
31201112120020220200112200120
42333101122100102001202
53210323121210041310
643542153410501110
72524426254533562
oct277213220220142
951476226615616
1013144114143330
114208429849695
121583501294796
1374463b9c5041
1433626dbdada2
1517bd96678b70
hexbf45a412062

13144114143330 has 64 divisors (see below), whose sum is σ = 31726414419840. Its totient is φ = 3485042371584.

The previous prime is 13144114143217. The next prime is 13144114143331. The reversal of 13144114143330 is 3334141144131.

It is a super-2 number, since 2×131441141433302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13144114143291 and 13144114143300.

It is not an unprimeable number, because it can be changed into a prime (13144114143331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40311312 + ... + 40636068.

It is an arithmetic number, because the mean of its divisors is an integer number (495725225310).

Almost surely, 213144114143330 is an apocalyptic number.

13144114143330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13144114143330 is an abundant number, since it is smaller than the sum of its proper divisors (18582300276510).

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

13144114143330 is a wasteful number, since it uses less digits than its factorization.

13144114143330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332483.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 13144114143330 its reverse (3334141144131), we get a palindrome (16478255287461).

The spelling of 13144114143330 in words is "thirteen trillion, one hundred forty-four billion, one hundred fourteen million, one hundred forty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 179 358 537 895 1074 1790 2685 5370 7537 15074 22611 37685 45222 75370 113055 226110 324757 649514 974271 1349123 1623785 1948542 2698246 3247570 4047369 4871355 6745615 8094738 9742710 13491230 20236845 40473690 58131503 116263006 174394509 290657515 348789018 581315030 871972545 1743945090 2447693509 4895387018 7343080527 12238467545 14686161054 24476935090 36715402635 73430805270 438137138111 876274276222 1314411414333 2190685690555 2628822828666 4381371381110 6572057071665 13144114143330