Search a number
-
+
13342444424331 = 3113743685737061
BaseRepresentation
bin1100001000101000011110…
…1010010000110010001011
31202020112011220002201022120
43002022013222100302023
53222100311233034311
644213233453022323
72544650132234301
oct302120752206213
952215156081276
1013342444424331
11428455404a230
1215b5a317849a3
1375a25810a7b9
14341ac623a271
1518210322b706
hexc2287a90c8b

13342444424331 has 64 divisors (see below), whose sum is σ = 20398763506176. Its totient is φ = 7683480806400.

The previous prime is 13342444424329. The next prime is 13342444424377.

13342444424331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13342444424331 - 21 = 13342444424329 is a prime.

It is a super-2 number, since 2×133424444243312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13342444424131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359994541 + ... + 360031601.

It is an arithmetic number, because the mean of its divisors is an integer number (318730679784).

Almost surely, 213342444424331 is an apocalyptic number.

13342444424331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13342444424331 is a deficient number, since it is larger than the sum of its proper divisors (7056319081845).

13342444424331 is a wasteful number, since it uses less digits than its factorization.

13342444424331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44012.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 1334244 and 4424331, that added together give a palindrome (5758575).

The spelling of 13342444424331 in words is "thirteen trillion, three hundred forty-two billion, four hundred forty-four million, four hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 3 11 33 37 43 111 129 407 473 1221 1419 1591 4773 6857 17501 20571 37061 52503 75427 111183 226281 253709 294851 407671 761127 884553 1223013 1371257 1593623 2790799 3243361 4113771 4780869 8372397 9730083 10909487 15083827 17529853 32728461 45251481 52589559 58964051 120004357 176892153 254127277 360013071 648604561 762381831 1945813683 2795400047 8386200141 9402709249 10927472911 28208127747 32782418733 103429801739 120202202021 310289405217 360606606063 404316497707 1212949493121 4447481474777 13342444424331