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1027444714218 = 233132313631753
BaseRepresentation
bin11101111001110000111…
…10100010101011101010
310122020000101111100202000
432330320132202223222
5113313201321323333
62104000201551430
7134142015655056
oct16747036425352
93566011440660
101027444714218
1136681183499a
121471611a5576
1375b70145200
1437a2b36cc66
151bad5d93713
hexef387a2aea

1027444714218 has 96 divisors (see below), whose sum is σ = 2552106170880. Its totient is φ = 305938788480.

The previous prime is 1027444714213. The next prime is 1027444714237. The reversal of 1027444714218 is 8124174447201.

1027444714218 is a `hidden beast` number, since 102 + 74 + 4 + 471 + 4 + 2 + 1 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1027444714211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532971 + ... + 2098782.

It is an arithmetic number, because the mean of its divisors is an integer number (26584439280).

Almost surely, 21027444714218 is an apocalyptic number.

1027444714218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1027444714218 is an abundant number, since it is smaller than the sum of its proper divisors (1524661456662).

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

1027444714218 is a wasteful number, since it uses less digits than its factorization.

1027444714218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631821 (or 3631802 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 1027444714218 in words is "one trillion, twenty-seven billion, four hundred forty-four million, seven hundred fourteen thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 169 186 234 279 338 351 403 507 558 702 806 837 1014 1209 1521 1674 2418 3042 3627 4563 5239 7254 9126 10478 10881 15717 21762 31434 47151 94302 141453 282906 3631753 7263506 10895259 21790518 32685777 47212789 65371554 94425578 98057331 112584343 141638367 196114662 225168686 283276734 337753029 424915101 613766257 675506058 849830202 1013259087 1227532514 1274745303 1463596459 1841298771 2026518174 2549490606 2927192918 3039777261 3682597542 4390789377 5523896313 6079554522 8781578754 11047792626 13172368131 16571688939 19026753967 26344736262 33143377878 38053507934 39517104393 57080261901 79034208786 114160523802 171240785703 342481571406 513722357109 1027444714218