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11214140355 = 32511172945953
BaseRepresentation
bin10100111000110101…
…00011001111000011
31001221112101100120200
422130122203033003
5140431304442410
65052433540243
7544616422515
oct123432431703
931845340520
1011214140355
1148350a96a0
12220b714683
1310993c2c12
147854d3bb5
1545978d3c0
hex29c6a33c3

11214140355 has 96 divisors (see below), whose sum is σ = 23226989760. Its totient is φ = 4940759040.

The previous prime is 11214140317. The next prime is 11214140401. The reversal of 11214140355 is 55304141211.

11214140355 is a `hidden beast` number, since 112 + 141 + 403 + 5 + 5 = 666.

11214140355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11214140355 - 214 = 11214123971 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 221059 + ... + 267011.

It is an arithmetic number, because the mean of its divisors is an integer number (241947810).

Almost surely, 211214140355 is an apocalyptic number.

11214140355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11214140355 is an abundant number, since it is smaller than the sum of its proper divisors (12012849405).

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

11214140355 is a wasteful number, since it uses less digits than its factorization.

11214140355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46021 (or 46018 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11214140355 its reverse (55304141211), we get a palindrome (66518281566).

The spelling of 11214140355 in words is "eleven billion, two hundred fourteen million, one hundred forty thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 15 17 29 33 45 51 55 85 87 99 145 153 165 187 255 261 319 435 493 495 561 765 935 957 1305 1479 1595 1683 2465 2805 2871 4437 4785 5423 7395 8415 14355 16269 22185 27115 45953 48807 81345 137859 229765 244035 413577 505483 689295 781201 1332637 1516449 2067885 2343603 2527415 3906005 3997911 4549347 6663185 7030809 7582245 8593211 11718015 11993733 14659007 19989555 22654829 22746735 25779633 35154045 42966055 43977021 59968665 67964487 73295035 77338899 113274145 128898165 131931063 203893461 219885105 249203119 339822435 386694495 659655315 747609357 1019467305 1246015595 2242828071 3738046785 11214140355