Search a number
-
+
1014444918828 = 22321115716316749
BaseRepresentation
bin11101100001100011010…
…00010000100000101100
310120222110102002022221200
432300301220100200230
5113110040344400303
62054010215125500
7133201614352005
oct16606150204054
93528412068850
101014444918828
1136125078a240
12144733673890
137487ab156a3
1437156a581ac
151b5c49823a3
hexec31a1082c

1014444918828 has 72 divisors (see below), whose sum is σ = 2815226778000. Its totient is φ = 305449522560.

The previous prime is 1014444918803. The next prime is 1014444918829. The reversal of 1014444918828 is 8288194444101.

1014444918828 is a `hidden beast` number, since 1 + 0 + 14 + 4 + 449 + 188 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1014444918829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8096203 + ... + 8220546.

Almost surely, 21014444918828 is an apocalyptic number.

1014444918828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1014444918828 is an abundant number, since it is smaller than the sum of its proper divisors (1800781859172).

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

1014444918828 is a wasteful number, since it uses less digits than its factorization.

1014444918828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16316927 (or 16316922 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 1014444918828 in words is "one trillion, fourteen billion, four hundred forty-four million, nine hundred eighteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 157 198 314 396 471 628 942 1413 1727 1884 2826 3454 5181 5652 6908 10362 15543 20724 31086 62172 16316749 32633498 48950247 65266996 97900494 146850741 179484239 195800988 293701482 358968478 538452717 587402964 717936956 1076905434 1615358151 2153810868 2561729593 3230716302 5123459186 6461432604 7685188779 10246918372 15370377558 23055566337 28179025523 30740755116 46111132674 56358051046 84537076569 92222265348 112716102092 169074153138 253611229707 338148306276 507222459414 1014444918828