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14059410240 = 263519770801
BaseRepresentation
bin11010001100000000…
…11001001101000000
31100021211021001002210
431012000121031000
5212243202111430
610243033542120
71005256005141
oct150600311500
940254231083
1014059410240
115a65197007
122884574940
131430a10575
1497533dac8
1557446b2b0
hex346019340

14059410240 has 112 divisors (see below), whose sum is σ = 46988089920. Its totient is φ = 3551846400.

The previous prime is 14059410217. The next prime is 14059410241. The reversal of 14059410240 is 4201495041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14059410198 and 14059410207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14059410241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367161 + ... + 403640.

Almost surely, 214059410240 is an apocalyptic number.

14059410240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14059410240 is an abundant number, since it is smaller than the sum of its proper divisors (32928679680).

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

14059410240 is a wasteful number, since it uses less digits than its factorization.

14059410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770840 (or 770830 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 14059410240 in words is "fourteen billion, fifty-nine million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 770801 1541602 2312403 3083204 3854005 4624806 6166408 7708010 9249612 11562015 12332816 14645219 15416020 18499224 23124030 24665632 29290438 30832040 36998448 43935657 46248060 49331264 58580876 61664080 73226095 73996896 87871314 92496120 117161752 123328160 146452190 147993792 175742628 184992240 219678285 234323504 246656320 292904380 351485256 369984480 439356570 468647008 585808760 702970512 739968960 878713140 937294016 1171617520 1405941024 1757426280 2343235040 2811882048 3514852560 4686470080 7029705120 14059410240