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16414066440 = 23325172682037
BaseRepresentation
bin11110100100101101…
…01100011100001000
31120100220221222011200
433102112230130020
5232104000111230
611312430224200
71120520156052
oct172226543410
946326858150
1016414066440
116a63349072
123221055060
1317177b1265
14b19d588d2
15661037160
hex3d25ac708

16414066440 has 96 divisors (see below), whose sum is σ = 56483720280. Its totient is φ = 4119607296.

The previous prime is 16414066399. The next prime is 16414066453. The reversal of 16414066440 is 4466041461.

16414066440 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 4 + 0 + 6 + 644 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13595093604 + 2818972836 = 116598^2 + 53094^2 .

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 = 16414066395 and 16414066404.

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, 1334899 + ... + 1347138.

Almost surely, 216414066440 is an apocalyptic number.

16414066440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16414066440 is an abundant number, since it is smaller than the sum of its proper divisors (40069653840).

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

16414066440 is a wasteful number, since it uses less digits than its factorization.

16414066440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682071 (or 2682064 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 16414066440 in words is "sixteen billion, four hundred fourteen million, sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 2682037 5364074 8046111 10728148 13410185 16092222 21456296 24138333 26820370 32184444 40230555 45594629 48276666 53640740 64368888 80461110 91189258 96553332 107281480 120691665 136783887 160922220 182378516 193106664 227973145 241383330 273567774 321844440 364757032 410351661 455946290 482766660 547135548 683919435 820703322 911892580 965533320 1094271096 1367838870 1641406644 1823785160 2051758305 2735677740 3282813288 4103516610 5471355480 8207033220 16414066440