Search a number
-
+
1145181815838 = 232314463459847
BaseRepresentation
bin10000101010100010001…
…001111100010000011110
311001110220200121211020100
4100222202021330100132
5122230313021101323
62234031140401530
7145510446553104
oct20524211742036
94043820554210
101145181815838
1140173a309a65
12165b3b0a62a6
1383cb4577948
143d5d9d43c74
151ebc7355943
hex10aa227c41e

1145181815838 has 48 divisors (see below), whose sum is σ = 2561846317056. Its totient is φ = 369329913360.

The previous prime is 1145181815837. The next prime is 1145181815839. The reversal of 1145181815838 is 8385181815411.

1145181815838 is a `hidden beast` number, since 1 + 1 + 4 + 51 + 8 + 1 + 8 + 1 + 583 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1145181815837) and next prime (1145181815839).

It is a super-2 number, since 2×11451818158382 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145181815837) 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 23 ways as a sum of consecutive naturals, for example, 2260431 + ... + 2720277.

It is an arithmetic number, because the mean of its divisors is an integer number (53371798272).

Almost surely, 21145181815838 is an apocalyptic number.

1145181815838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1145181815838 is an abundant number, since it is smaller than the sum of its proper divisors (1416664501218).

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

1145181815838 is a wasteful number, since it uses less digits than its factorization.

1145181815838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464349 (or 464346 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 54.

The spelling of 1145181815838 in words is "one trillion, one hundred forty-five billion, one hundred eighty-one million, eight hundred fifteen thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 4463 8926 13389 26778 40167 80334 138353 276706 415059 459847 830118 919694 1245177 1379541 2490354 2759082 4138623 8277246 14255257 28510514 42765771 85531542 128297313 256594626 2052297161 4104594322 6156891483 12313782966 18470674449 36941348898 63621211991 127242423982 190863635973 381727271946 572590907919 1145181815838