Search a number
-
+
14301627712 = 2619139191443
BaseRepresentation
bin11010101000111000…
…11000010101000000
31100220201000222000021
431110130120111000
5213242204041322
610323045303224
71014256554421
oct152434302500
940821028007
1014301627712
116079994639
122931704b14
13146bc59808
14999591648
1558a8644c7
hex354718540

14301627712 has 112 divisors (see below), whose sum is σ = 30314188800. Its totient is φ = 6675402240.

The previous prime is 14301627709. The next prime is 14301627719. The reversal of 14301627712 is 21772610341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14301627719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32283363 + ... + 32283805.

It is an arithmetic number, because the mean of its divisors is an integer number (270662400).

Almost surely, 214301627712 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 14301627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15157094400).

14301627712 is an abundant number, since it is smaller than the sum of its proper divisors (16012561088).

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

14301627712 is a wasteful number, since it uses less digits than its factorization.

14301627712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 14301627712 in words is "fourteen billion, three hundred one million, six hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 139 152 191 278 304 382 443 556 608 764 886 1112 1216 1528 1772 2224 2641 3056 3544 3629 4448 5282 6112 7088 7258 8417 8896 10564 12224 14176 14516 16834 21128 26549 28352 29032 33668 42256 53098 58064 61577 67336 84512 84613 106196 116128 123154 134672 169024 169226 212392 232256 246308 269344 338452 424784 492616 504431 538688 676904 849568 985232 1008862 1169963 1353808 1607647 1699136 1970464 2017724 2339926 2707616 3215294 3940928 4035448 4679852 5415232 6430588 8070896 9359704 11761207 12861176 16141792 18719408 23522414 25722352 32283584 37438816 47044828 51444704 74877632 94089656 102889408 188179312 223462933 376358624 446925866 752717248 893851732 1787703464 3575406928 7150813856 14301627712