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13342400023332 = 22317375992951041
BaseRepresentation
bin1100001000101000010100…
…0000111000101100100100
31202020112001210112220121010
43002022011000320230210
53222100213401221312
644213225225222220
72544646052646312
oct302120500705444
952215053486533
1013342400023332
114284530a83096
1215b5a1a931970
1375a24bb62a13
14341ac039d0b2
151820ee3aa93c
hexc2285038b24

13342400023332 has 96 divisors (see below), whose sum is σ = 33911013830400. Its totient is φ = 4065919303680.

The previous prime is 13342400023327. The next prime is 13342400023487. The reversal of 13342400023332 is 23332000424331.

It is a self number, because there is not a number n which added to its sum of digits gives 13342400023332.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3045732 + ... + 5996772.

It is an arithmetic number, because the mean of its divisors is an integer number (353239727400).

Almost surely, 213342400023332 is an apocalyptic number.

13342400023332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13342400023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16955506915200).

13342400023332 is an abundant number, since it is smaller than the sum of its proper divisors (20568613807068).

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

13342400023332 is a wasteful number, since it uses less digits than its factorization.

13342400023332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951701 (or 2951699 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 13342400023332 its reverse (23332000424331), we get a palindrome (36674400447663).

The spelling of 13342400023332 in words is "thirteen trillion, three hundred forty-two billion, four hundred million, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 599 629 1198 1258 1797 1887 2396 2516 3594 3774 7188 7548 10183 20366 22163 30549 40732 44326 61098 66489 88652 122196 132978 265956 376771 753542 1130313 1507084 2260626 2951041 4521252 5902082 8853123 11804164 17706246 35412492 50167697 100335394 109188517 150503091 200670788 218377034 301006182 327565551 436754068 602012364 655131102 1310262204 1767673559 1856204789 3535347118 3712409578 5303020677 5568614367 7070694236 7424819156 10606041354 11137228734 21212082708 22274457468 30050450503 60100901006 65403921683 90151351509 120201802012 130807843366 180302703018 196211765049 261615686732 360605406036 392423530098 784847060196 1111866668611 2223733337222 3335600005833 4447466674444 6671200011666 13342400023332