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14008821240 = 2335263443879
BaseRepresentation
bin11010000101111110…
…11010010111111000
31100011022001212001010
431002333122113320
5212142224234430
610234025353520
71004103005301
oct150277322770
940138055033
1014008821240
115a39683817
12286b6388a0
1314233aa04b
1496c7317a8
1556ecc6cb0
hex342fda5f8

14008821240 has 64 divisors (see below), whose sum is σ = 42186355200. Its totient is φ = 3721473152.

The previous prime is 14008821221. The next prime is 14008821271. The reversal of 14008821240 is 4212880041.

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 = 14008821198 and 14008821207.

It is a congruent number.

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, 190380 + ... + 253499.

It is an arithmetic number, because the mean of its divisors is an integer number (659161800).

Almost surely, 214008821240 is an apocalyptic number.

14008821240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14008821240 is an abundant number, since it is smaller than the sum of its proper divisors (28177533960).

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

14008821240 is a wasteful number, since it uses less digits than its factorization.

14008821240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444156 (or 444152 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 14008821240 in words is "fourteen billion, eight million, eight hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 526 789 1052 1315 1578 2104 2630 3156 3945 5260 6312 7890 10520 15780 31560 443879 887758 1331637 1775516 2219395 2663274 3551032 4438790 5326548 6658185 8877580 10653096 13316370 17755160 26632740 53265480 116740177 233480354 350220531 466960708 583700885 700441062 933921416 1167401770 1400882124 1751102655 2334803540 2801764248 3502205310 4669607080 7004410620 14008821240