Search a number
-
+
5340444331521 = 313315989841219
BaseRepresentation
bin100110110110110101101…
…0010011000111000000001
3200220112121202012001220210
41031231223102120320001
51144444212222102041
615205211040024333
71060556121555465
oct115555322307001
920815552161823
105340444331521
111779962666732
127230200020a9
132c97a9038c90
1414669c0ba4a5
1593db58d6016
hex4db6b498e01

5340444331521 has 64 divisors (see below), whose sum is σ = 8140317696000. Its totient is φ = 3091375203840.

The previous prime is 5340444331501. The next prime is 5340444331543. The reversal of 5340444331521 is 1251334440435.

It is not a de Polignac number, because 5340444331521 - 26 = 5340444331457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5340444331521.

It is not an unprimeable number, because it can be changed into a prime (5340444331501) 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, 5927850 + ... + 6769068.

It is an arithmetic number, because the mean of its divisors is an integer number (127192464000).

Almost surely, 25340444331521 is an apocalyptic number.

It is an amenable number.

5340444331521 is a deficient number, since it is larger than the sum of its proper divisors (2799873364479).

5340444331521 is a wasteful number, since it uses less digits than its factorization.

5340444331521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841414.

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 5340444331521 its reverse (1251334440435), we get a palindrome (6591778771956).

The spelling of 5340444331521 in words is "five trillion, three hundred forty billion, four hundred forty-four million, three hundred thirty-one thousand, five hundred twenty-one".

Divisors: 1 3 13 31 39 59 89 93 177 267 403 767 1157 1209 1829 2301 2759 3471 5251 5487 8277 15753 23777 35867 68263 71331 107601 162781 204789 488343 841219 2116153 2523657 6348459 10935847 26077789 32807541 49631921 74868491 78233367 148895763 224605473 339011257 645214973 973290383 1017033771 1538589551 1935644919 2320923221 2919871149 4417240969 4615768653 6962769663 13251722907 20001664163 30172001873 57424132597 60004992489 90516005619 136934470039 172272397791 410803410117 1780148110507 5340444331521