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1418134896 = 243241401599
BaseRepresentation
bin101010010000111…
…0000010101110000
310122211110201100200
41110201300111300
510401020304041
6352415315200
750066643033
oct12441602560
93584421320
101418134896
11668555812
12336b1bb00
13197a5ac99
14d64b301a
15847781b6
hex54870570

1418134896 has 120 divisors (see below), whose sum is σ = 4082551200. Its totient is φ = 459264000.

The previous prime is 1418134889. The next prime is 1418134903. The reversal of 1418134896 is 6984318141.

1418134896 is a `hidden beast` number, since 141 + 81 + 348 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1418134889) and next prime (1418134903).

It is a super-3 number, since 3×14181348963 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2367205 + ... + 2367803.

It is an arithmetic number, because the mean of its divisors is an integer number (34021260).

Almost surely, 21418134896 is an apocalyptic number.

1418134896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1418134896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041275600).

1418134896 is an abundant number, since it is smaller than the sum of its proper divisors (2664416304).

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

1418134896 is a wasteful number, since it uses less digits than its factorization.

1418134896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1046 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1418134896 is about 37658.1318708191. The cubic root of 1418134896 is about 1123.4985457523.

The spelling of 1418134896 in words is "one billion, four hundred eighteen million, one hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 401 492 599 656 738 802 984 1198 1203 1476 1604 1797 1968 2396 2406 2952 3208 3594 3609 4792 4812 5391 5904 6416 7188 7218 9584 9624 10782 14376 14436 16441 19248 21564 24559 28752 28872 32882 43128 49118 49323 57744 65764 73677 86256 98236 98646 131528 147354 147969 196472 197292 221031 240199 263056 294708 295938 392944 394584 442062 480398 589416 591876 720597 789168 884124 960796 1178832 1183752 1441194 1768248 1921592 2161791 2367504 2882388 3536496 3843184 4323582 5764776 8647164 9848159 11529552 17294328 19696318 29544477 34588656 39392636 59088954 78785272 88633431 118177908 157570544 177266862 236355816 354533724 472711632 709067448 1418134896