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1418054328 = 2332232311201
BaseRepresentation
bin101010010000101…
…1100101010111000
310122211022121211200
41110201130222320
510401010214303
6352413454200
750066156115
oct12441345270
93584277750
101418054328
11668500229
12336aa1360
13197a30402
14d649190c
158475e3a3
hex5485cab8

1418054328 has 144 divisors (see below), whose sum is σ = 4147765440. Its totient is φ = 437184000.

The previous prime is 1418054327. The next prime is 1418054347. The reversal of 1418054328 is 8234508141.

1418054328 is a `hidden beast` number, since 14 + 1 + 80 + 543 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1418054292 and 1418054301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418054327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1180128 + ... + 1181328.

Almost surely, 21418054328 is an apocalyptic number.

1418054328 is a gapful number since it is divisible by the number (18) 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 1418054328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073882720).

1418054328 is an abundant number, since it is smaller than the sum of its proper divisors (2729711112).

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

1418054328 is a wasteful number, since it uses less digits than its factorization.

1418054328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1418054328 is about 37657.0621265122. The cubic root of 1418054328 is about 1123.4772690399.

The spelling of 1418054328 in words is "one billion, four hundred eighteen million, fifty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 31 36 46 62 69 72 92 93 124 138 184 186 207 248 276 279 372 414 529 552 558 713 744 828 1058 1116 1201 1426 1587 1656 2116 2139 2232 2402 2852 3174 3603 4232 4278 4761 4804 5704 6348 6417 7206 8556 9522 9608 10809 12696 12834 14412 16399 17112 19044 21618 25668 27623 28824 32798 37231 38088 43236 49197 51336 55246 65596 74462 82869 86472 98394 110492 111693 131192 147591 148924 165738 196788 220984 223386 248607 295182 297848 331476 335079 393576 446772 497214 590364 635329 662952 670158 856313 893544 994428 1180728 1270658 1340316 1712626 1905987 1988856 2541316 2568939 2680632 3425252 3811974 5082632 5137878 5717961 6850504 7623948 7706817 10275756 11435922 15247896 15413634 19695199 20551512 22871844 30827268 39390398 45743688 59085597 61654536 78780796 118171194 157561592 177256791 236342388 354513582 472684776 709027164 1418054328