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14430559232 = 210113311401
BaseRepresentation
bin11010111000010000…
…01101110000000000
31101020200122100210202
431130020031300000
5214023210343412
610343532544332
71020413505155
oct153410156000
941220570722
1014430559232
116135746811
1229689220a8
13148c88cb5b
149ac75422c
15596d313c2
hex35c20dc00

14430559232 has 88 divisors (see below), whose sum is σ = 29268693792. Its totient is φ = 7110656000.

The previous prime is 14430559217. The next prime is 14430559249. The reversal of 14430559232 is 23295503441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35986232 + ... + 35986632.

Almost surely, 214430559232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430559232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14634346896).

14430559232 is an abundant number, since it is smaller than the sum of its proper divisors (14838134560).

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

14430559232 is a wasteful number, since it uses less digits than its factorization.

14430559232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 14430559232 in words is "fourteen billion, four hundred thirty million, five hundred fifty-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 311 401 452 512 622 802 904 1024 1244 1604 1808 2488 3208 3616 4976 6416 7232 9952 12832 14464 19904 25664 28928 35143 39808 45313 51328 57856 70286 79616 90626 102656 115712 124711 140572 159232 181252 205312 249422 281144 318464 362504 410624 498844 562288 725008 997688 1124576 1450016 1995376 2249152 2900032 3990752 4498304 5800064 7981504 8996608 11600128 14092343 15963008 17993216 23200256 28184686 31926016 35986432 46400512 56369372 63852032 112738744 127704064 225477488 450954976 901909952 1803819904 3607639808 7215279616 14430559232