Search a number
-
+
13750390141290 = 23251113889282971
BaseRepresentation
bin1100100000011000001100…
…0111101011000101101010
31210200112011022221022212200
43020012003013223011222
53300241244334010130
645124501513321030
72616301325512005
oct310060307530552
953615138838780
1013750390141290
114421564843360
121660b01a06176
1378986b9641ba
143577457b653c
1518ca2c49b760
hexc81831eb16a

13750390141290 has 48 divisors (see below), whose sum is σ = 39001106585376. Its totient is φ = 3333427912800.

The previous prime is 13750390141277. The next prime is 13750390141363. The reversal of 13750390141290 is 9214109305731.

13750390141290 is a `hidden beast` number, since 1 + 3 + 7 + 503 + 9 + 0 + 14 + 129 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6944640496 + ... + 6944642475.

It is an arithmetic number, because the mean of its divisors is an integer number (812523053862).

Almost surely, 213750390141290 is an apocalyptic number.

13750390141290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13750390141290 is an abundant number, since it is smaller than the sum of its proper divisors (25250716444086).

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

13750390141290 is a wasteful number, since it uses less digits than its factorization.

13750390141290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13889282995 (or 13889282992 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 13750390141290 in words is "thirteen trillion, seven hundred fifty billion, three hundred ninety million, one hundred forty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 13889282971 27778565942 41667848913 69446414855 83335697826 125003546739 138892829710 152782112681 208339244565 250007093478 305564225362 416678489130 458346338043 625017733695 763910563405 916692676086 1250035467390 1375039014129 1527821126810 2291731690215 2750078028258 4583463380430 6875195070645 13750390141290