Search a number
-
+
5340334002135 = 3511472196131357
BaseRepresentation
bin100110110110110010010…
…1101100000111111010111
3200220112100001120202110020
41031231210231200333113
51144444001001032020
615205152055200223
71060553312022456
oct115554455407727
920815301522406
105340334002135
11177990635a620
12722bab076073
132c978c219a12
1414668b59ab9d
1593daad90c40
hex4db64b60fd7

5340334002135 has 64 divisors (see below), whose sum is σ = 9520373090304. Its totient is φ = 2533966156800.

The previous prime is 5340334002067. The next prime is 5340334002151. The reversal of 5340334002135 is 5312004330435.

It is not a de Polignac number, because 5340334002135 - 27 = 5340334002007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5340334002096 and 5340334002105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170291877 + ... + 170323233.

It is an arithmetic number, because the mean of its divisors is an integer number (148755829536).

Almost surely, 25340334002135 is an apocalyptic number.

5340334002135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5340334002135 is a deficient number, since it is larger than the sum of its proper divisors (4180039088169).

5340334002135 is a wasteful number, since it uses less digits than its factorization.

5340334002135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53384.

The product of its (nonzero) digits is 64800, while the sum is 33.

The spelling of 5340334002135 in words is "five trillion, three hundred forty billion, three hundred thirty-four million, two thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 33 47 55 141 165 235 517 705 1551 2585 7755 21961 31357 65883 94071 109805 156785 241571 329415 344927 470355 724713 1032167 1034781 1207855 1473779 1724635 3096501 3623565 4421337 5160835 5173905 7368895 11353837 15482505 16211569 22106685 34061511 48634707 56769185 81057845 170307555 243173535 688631077 2065893231 3443155385 7574941847 10329466155 22724825541 32365660619 37874709235 97096981857 113624127705 161828303095 356022266809 485484909285 1068066800427 1780111334045 5340334002135