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14190458240 = 27573167513
BaseRepresentation
bin11010011011101000…
…10011010110000000
31100121221211222011102
431031310103112000
5213030224130430
610304034433532
71011436622240
oct151564232600
940557758142
1014190458240
116022164342
1229004328a8
131451c0506a
149888d3b20
15580c05345
hex34dd13580

14190458240 has 64 divisors (see below), whose sum is σ = 38770371360. Its totient is φ = 4865298432.

The previous prime is 14190458231. The next prime is 14190458257. The reversal of 14190458240 is 4285409141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×141904582402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14190458194 and 14190458203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1579277 + ... + 1588236.

Almost surely, 214190458240 is an apocalyptic number.

14190458240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14190458240 is an abundant number, since it is smaller than the sum of its proper divisors (24579913120).

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

14190458240 is an equidigital number, since it uses as much as digits as its factorization.

14190458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167539 (or 3167527 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 14190458240 in words is "fourteen billion, one hundred ninety million, four hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 3167513 6335026 12670052 15837565 22172591 25340104 31675130 44345182 50680208 63350260 88690364 101360416 110862955 126700520 177380728 202720832 221725910 253401040 354761456 405441664 443451820 506802080 709522912 886903640 1013604160 1419045824 1773807280 2027208320 2838091648 3547614560 7095229120 14190458240