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14405422240 = 2551131264029
BaseRepresentation
bin11010110101010000…
…10100110010100000
31101011221100021100001
431122220110302200
5214000242002430
610341234105344
71016660032366
oct153250246240
941157307301
1014405422240
116122537a40
12296041b254
1314875cb4b1
149a928d636
15594a183ca
hex35aa14ca0

14405422240 has 96 divisors (see below), whose sum is σ = 38324482560. Its totient is φ = 5069337600.

The previous prime is 14405422237. The next prime is 14405422247. The reversal of 14405422240 is 4222450441.

It is a junction number, because it is equal to n+sod(n) for n = 14405422199 and 14405422208.

It is not an unprimeable number, because it can be changed into a prime (14405422247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77455 + ... + 186574.

It is an arithmetic number, because the mean of its divisors is an integer number (399213360).

Almost surely, 214405422240 is an apocalyptic number.

14405422240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14405422240 is an abundant number, since it is smaller than the sum of its proper divisors (23919060320).

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

14405422240 is a wasteful number, since it uses less digits than its factorization.

14405422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264086 (or 264078 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 14405422240 its reverse (4222450441), we get a palindrome (18627872681).

It can be divided in two parts, 14405 and 422240, that added together give a triangular number (436645 = T934).

The spelling of 14405422240 in words is "fourteen billion, four hundred five million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 54560 264029 528058 1056116 1320145 2112232 2640290 2904319 4224464 5280580 5808638 8184899 8448928 10561160 11617276 14521595 16369798 21122320 23234552 29043190 32739596 40924495 42244640 46469104 58086380 65479192 81848990 90033889 92938208 116172760 130958384 163697980 180067778 232345520 261916768 327395960 360135556 450169445 464691040 654791920 720271112 900338890 1309583840 1440542224 1800677780 2881084448 3601355560 7202711120 14405422240