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16434277440 = 263572445577
BaseRepresentation
bin11110100111000111…
…10010110001000000
31120102022222210110020
433103203302301000
5232124133334230
611314431333440
71121154024210
oct172343626100
946368883406
1016434277440
116a737a2979
123227981280
13171ba39729
14b1c8da240
15662bca810
hex3d38f2c40

16434277440 has 112 divisors (see below), whose sum is σ = 59632973952. Its totient is φ = 3756404736.

The previous prime is 16434277427. The next prime is 16434277463. The reversal of 16434277440 is 4477243461.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 16434277392 and 16434277401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1216069 + ... + 1229508.

Almost surely, 216434277440 is an apocalyptic number.

16434277440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16434277440 is an abundant number, since it is smaller than the sum of its proper divisors (43198696512).

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

16434277440 is a wasteful number, since it uses less digits than its factorization.

16434277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445604 (or 2445594 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 16434277440 in words is "sixteen billion, four hundred thirty-four million, two hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 2445577 4891154 7336731 9782308 12227885 14673462 17119039 19564616 24455770 29346924 34238078 36683655 39129232 48911540 51357117 58693848 68476156 73367310 78258464 85595195 97823080 102714234 117387696 136952312 146734620 156516928 171190390 195646160 205428468 234775392 256785585 273904624 293469240 342380780 391292320 410856936 469550784 513571170 547809248 586938480 684761560 782584640 821713872 1027142340 1095618496 1173876960 1369523120 1643427744 2054284680 2347753920 2739046240 3286855488 4108569360 5478092480 8217138720 16434277440