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14420357440 = 2651722311887
BaseRepresentation
bin11010110111000010…
…10011000101000000
31101012222110001120121
431123201103011000
5214013102414230
610342530150024
71020231005266
oct153341230500
941188401517
1014420357440
11612aa08a85
122965422314
13148a72a4a8
149ab25a436
15595eb877a
hex35b853140

14420357440 has 112 divisors (see below), whose sum is σ = 36524500992. Its totient is φ = 5404041216.

The previous prime is 14420357437. The next prime is 14420357459. The reversal of 14420357440 is 4475302441.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 14420357396 and 14420357405.

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, 1207177 + ... + 1219063.

It is an arithmetic number, because the mean of its divisors is an integer number (326111616).

Almost surely, 214420357440 is an apocalyptic number.

14420357440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14420357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18262250496).

14420357440 is an abundant number, since it is smaller than the sum of its proper divisors (22104143552).

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

14420357440 is a wasteful number, since it uses less digits than its factorization.

14420357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12144 (or 12134 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

Adding to 14420357440 its reverse (4475302441), we get a palindrome (18895659881).

The spelling of 14420357440 in words is "fourteen billion, four hundred twenty million, three hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 223 272 320 340 446 544 680 892 1088 1115 1360 1784 2230 2720 3568 3791 4460 5440 7136 7582 8920 11887 14272 15164 17840 18955 23774 30328 35680 37910 47548 59435 60656 71360 75820 95096 118870 121312 151640 190192 202079 237740 242624 303280 380384 404158 475480 606560 760768 808316 950960 1010395 1213120 1616632 1901920 2020790 2650801 3233264 3803840 4041580 5301602 6466528 8083160 10603204 12933056 13254005 16166320 21206408 26508010 32332640 42412816 45063617 53016020 64665280 84825632 90127234 106032040 169651264 180254468 212064080 225318085 360508936 424128160 450636170 721017872 848256320 901272340 1442035744 1802544680 2884071488 3605089360 7210178720 14420357440