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13144345335331 = 7361812377339
BaseRepresentation
bin1011111101000110100000…
…0010001101011000100011
31201112120212000201022111021
42333101220002031120203
53210324104401212311
643542232350030311
72524435062613000
oct277215002153043
951476760638437
1013144345335331
1142085382a6661
1215835667a8397
13744677880a42
143362927bc8a7
1517bdabae5171
hexbf46808d623

13144345335331 has 32 divisors (see below), whose sum is σ = 15582091968000. Its totient is φ = 11080376123040.

The previous prime is 13144345335287. The next prime is 13144345335367. The reversal of 13144345335331 is 13353354344131.

It is not a de Polignac number, because 13144345335331 - 229 = 13143808464419 is a prime.

It is a super-2 number, since 2×131443453353312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13144345335391) 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, 169918860 + ... + 169996198.

It is an arithmetic number, because the mean of its divisors is an integer number (486940374000).

Almost surely, 213144345335331 is an apocalyptic number.

13144345335331 is a deficient number, since it is larger than the sum of its proper divisors (2437746632669).

13144345335331 is an frugal number, since it uses more digits than its factorization.

13144345335331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85544 (or 85530 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 43.

Adding to 13144345335331 its reverse (13353354344131), we get a palindrome (26497699679462).

The spelling of 13144345335331 in words is "thirteen trillion, one hundred forty-four billion, three hundred forty-five million, three hundred thirty-five thousand, three hundred thirty-one".

Divisors: 1 7 49 61 343 427 2989 8123 20923 56861 77339 398027 495503 541373 2786189 3468521 3789611 4717679 24279647 26527277 33023753 169957529 231166271 628224697 1618163897 4397572879 30783010153 38321706517 215481071071 268251945619 1877763619333 13144345335331