Search a number
-
+
14357504000381 is a prime number
BaseRepresentation
bin1101000011101101110111…
…1011010000000101111101
31212211120020010202212110112
43100323131323100011331
53340213132011003011
650311425110315405
73011203222253003
oct320733573200575
955746203685415
1014357504000381
114635a8a788543
12173a6b7058b65
13801ba3381389
14378c9a774a73
1519d711b2458b
hexd0edded017d

14357504000381 has 2 divisors, whose sum is σ = 14357504000382. Its totient is φ = 14357504000380.

The previous prime is 14357504000317. The next prime is 14357504000443. The reversal of 14357504000381 is 18300040575341.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13763610284356 + 593893716025 = 3709934^2 + 770645^2 .

It is a cyclic number.

It is not a de Polignac number, because 14357504000381 - 26 = 14357504000317 is a prime.

It is a super-2 number, since 2×143575040003812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14357503000381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7178752000190 + 7178752000191.

It is an arithmetic number, because the mean of its divisors is an integer number (7178752000191).

Almost surely, 214357504000381 is an apocalyptic number.

It is an amenable number.

14357504000381 is a deficient number, since it is larger than the sum of its proper divisors (1).

14357504000381 is an equidigital number, since it uses as much as digits as its factorization.

14357504000381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 14357504000381 in words is "fourteen trillion, three hundred fifty-seven billion, five hundred four million, three hundred eighty-one", and thus it is an aban number.