Search a number
-
+
290251503361 = 101109131313643
BaseRepresentation
bin1000011100101000101…
…01100111011100000001
31000202012010102002101001
410032110111213130001
514223413341101421
6341201213012001
726653463033341
oct4162425473401
91022163362331
10290251503361
11102105452506
1248304784001
13214a828c1c1
141009656ad21
15783b930691
hex4394567701

290251503361 has 32 divisors (see below), whose sum is σ = 299489984640. Its totient is φ = 281226816000.

The previous prime is 290251503301. The next prime is 290251503391. The reversal of 290251503361 is 163305152092.

It is a cyclic number.

It is not a de Polignac number, because 290251503361 - 217 = 290251372289 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 290251503361.

It is not an unprimeable number, because it can be changed into a prime (290251503301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451401706 + ... + 451402348.

It is an arithmetic number, because the mean of its divisors is an integer number (9359062020).

Almost surely, 2290251503361 is an apocalyptic number.

It is an amenable number.

290251503361 is a deficient number, since it is larger than the sum of its proper divisors (9238481279).

290251503361 is a wasteful number, since it uses less digits than its factorization.

290251503361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297.

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 290251503361 in words is "two hundred ninety billion, two hundred fifty-one million, five hundred three thousand, three hundred sixty-one".

Divisors: 1 101 109 131 313 643 11009 13231 14279 31613 34117 41003 64943 70087 84233 201259 1442179 3445817 4141303 4469327 7078787 8507533 9181397 20327159 21937231 26364929 451402027 927321097 2215660331 2662857829 2873777261 290251503361