Search a number
-
+
13002242113434 = 2372194749524427
BaseRepresentation
bin1011110100110101001000…
…0001011011111110011010
31201001000001121102200200210
42331031102001123332122
53201012042440112214
643353051512511550
72511244452300300
oct275152201337632
951030047380623
1013002242113434
114163246783802
12155bb086ab5b6
1373414c343562
1432d451b06270
15178341421b59
hexbd35205bf9a

13002242113434 has 96 divisors (see below), whose sum is σ = 32519720401920. Its totient is φ = 3444522877152.

The previous prime is 13002242113429. The next prime is 13002242113489. The reversal of 13002242113434 is 43431124220031.

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, 24499672 + ... + 25024755.

It is an arithmetic number, because the mean of its divisors is an integer number (338747087520).

Almost surely, 213002242113434 is an apocalyptic number.

13002242113434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13002242113434 is an abundant number, since it is smaller than the sum of its proper divisors (19517478288486).

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

13002242113434 is a wasteful number, since it uses less digits than its factorization.

13002242113434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49524512 (or 49524505 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13002242113434 its reverse (43431124220031), we get a palindrome (56433366333465).

The spelling of 13002242113434 in words is "thirteen trillion, two billion, two hundred forty-two million, one hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 47 49 57 94 98 114 133 141 147 266 282 294 329 399 658 798 893 931 987 1786 1862 1974 2303 2679 2793 4606 5358 5586 6251 6909 12502 13818 18753 37506 43757 87514 131271 262542 49524427 99048854 148573281 297146562 346670989 693341978 940964113 1040012967 1881928226 2080025934 2327648069 2426696923 2822892339 4655296138 4853393846 5645784678 6586748791 6982944207 7280090769 13173497582 13965888414 14560181538 16293536483 19760246373 32587072966 39520492746 44225313311 46107241537 48880609449 88450626622 92214483074 97761218898 114054755381 132675939933 138321724611 228109510762 265351879866 276643449222 309577193177 342164266143 619154386354 684328532286 928731579531 1857463159062 2167040352239 4334080704478 6501121056717 13002242113434