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14301111440 = 24571116314243
BaseRepresentation
bin11010101000110100…
…11010010010010000
31100220200001201211002
431110122122102100
5213242041031230
610323030241132
71014252304310
oct152432322220
940820051732
1014301111440
116079671770
1229314b61a8
13146bb08825
14999499440
1558a7b1545
hex35469a490

14301111440 has 160 divisors (see below), whose sum is σ = 41711901696. Its totient is φ = 4429831680.

The previous prime is 14301111437. The next prime is 14301111469. The reversal of 14301111440 is 4411110341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996959 + ... + 1011201.

Almost surely, 214301111440 is an apocalyptic number.

14301111440 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 14301111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20855950848).

14301111440 is an abundant number, since it is smaller than the sum of its proper divisors (27410790256).

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

14301111440 is a wasteful number, since it uses less digits than its factorization.

14301111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14437 (or 14431 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 14301111440 its reverse (4411110341), we get a palindrome (18712221781).

It can be divided in two parts, 143011 and 11440, that added together give a palindrome (154451).

The spelling of 14301111440 in words is "fourteen billion, three hundred one million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 163 176 220 280 308 326 385 440 560 616 652 770 815 880 1141 1232 1304 1540 1630 1793 2282 2608 3080 3260 3586 4564 5705 6160 6520 7172 8965 9128 11410 12551 13040 14243 14344 17930 18256 22820 25102 28486 28688 35860 45640 50204 56972 62755 71215 71720 91280 99701 100408 113944 125510 142430 143440 156673 199402 200816 227888 251020 284860 313346 398804 498505 502040 569720 626692 783365 797608 997010 1004080 1096711 1139440 1253384 1566730 1595216 1994020 2193422 2321609 2506768 3133460 3988040 4386844 4643218 5483555 6266920 7976080 8773688 9286436 10967110 11608045 12533840 16251263 17547376 18572872 21934220 23216090 25537699 32502526 37145744 43868440 46432180 51075398 65005052 81256315 87736880 92864360 102150796 127688495 130010104 162512630 178763893 185728720 204301592 255376990 260020208 325025260 357527786 408603184 510753980 650050520 715055572 893819465 1021507960 1300101040 1430111144 1787638930 2043015920 2860222288 3575277860 7150555720 14301111440