Search a number
-
+
13301000041344 = 27387739496033
BaseRepresentation
bin1100000110001110000101…
…1000011111001110000000
31202002120012120011220211220
43001203201120133032000
53220410422002310334
644142221200035040
72541652115626341
oct301434130371600
952076176156756
1013301000041344
114268a16848944
1215a99a6002a80
13756381a39c62
1433dab3cc60c8
15180ec9a34449
hexc18e161f380

13301000041344 has 64 divisors (see below), whose sum is σ = 35371068209040. Its totient is φ = 4428611076096.

The previous prime is 13301000041327. The next prime is 13301000041409. The reversal of 13301000041344 is 44314000010331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19411249 + ... + 20084784.

Almost surely, 213301000041344 is an apocalyptic number.

It is an amenable number.

13301000041344 is an abundant number, since it is smaller than the sum of its proper divisors (22070068167696).

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

13301000041344 is an equidigital number, since it uses as much as digits as its factorization.

13301000041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39496927 (or 39496915 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13301000041344 its reverse (44314000010331), we get a palindrome (57615000051675).

The spelling of 13301000041344 in words is "thirteen trillion, three hundred one billion, forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 877 1754 2631 3508 5262 7016 10524 14032 21048 28064 42096 56128 84192 112256 168384 336768 39496033 78992066 118488099 157984132 236976198 315968264 473952396 631936528 947904792 1263873056 1895809584 2527746112 3791619168 5055492224 7583238336 15166476672 34638020941 69276041882 103914062823 138552083764 207828125646 277104167528 415656251292 554208335056 831312502584 1108416670112 1662625005168 2216833340224 3325250010336 4433666680448 6650500020672 13301000041344