Search a number
-
+
14237833008 = 24371919711321
BaseRepresentation
bin11010100001010010…
…00001011100110000
31100202020222212010110
431100221001130300
5213124341124013
610312450101320
71012553404140
oct152051013460
940666885113
1014237833008
116046981743
12291427a840
13145b981579
14990d06920
15584e622c3
hex350a41730

14237833008 has 160 divisors (see below), whose sum is σ = 44476439040. Its totient is φ = 3833948160.

The previous prime is 14237833007. The next prime is 14237833009. The reversal of 14237833008 is 80033873241.

It is an interprime number because it is at equal distance from previous prime (14237833007) and next prime (14237833009).

It is not an unprimeable number, because it can be changed into a prime (14237833007) 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 31 ways as a sum of consecutive naturals, for example, 1251988 + ... + 1263308.

It is an arithmetic number, because the mean of its divisors is an integer number (277977744).

Almost surely, 214237833008 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 14237833008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238219520).

14237833008 is an abundant number, since it is smaller than the sum of its proper divisors (30238606032).

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

14237833008 is a wasteful number, since it uses less digits than its factorization.

14237833008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11555 (or 11549 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 14237833008 in words is "fourteen billion, two hundred thirty-seven million, eight hundred thirty-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 197 228 266 304 336 394 399 456 532 591 788 798 912 1064 1182 1379 1576 1596 2128 2364 2758 3152 3192 3743 4137 4728 5516 6384 7486 8274 9456 11032 11229 11321 14972 16548 22064 22458 22642 26201 29944 33096 33963 44916 45284 52402 59888 66192 67926 78603 79247 89832 90568 104804 135852 157206 158494 179664 181136 209608 215099 237741 271704 314412 316988 419216 430198 475482 543408 628824 633976 645297 860396 950964 1257648 1267952 1290594 1505693 1720792 1901928 2230237 2581188 3011386 3441584 3803856 4460474 4517079 5162376 6022772 6690711 8920948 9034158 10324752 12045544 13381422 15611659 17841896 18068316 24091088 26762844 31223318 35683792 36136632 42374503 46834977 53525688 62446636 72273264 84749006 93669954 107051376 124893272 127123509 169498012 187339908 249786544 254247018 296621521 338996024 374679816 508494036 593243042 677992048 749359632 889864563 1016988072 1186486084 1779729126 2033976144 2372972168 3559458252 4745944336 7118916504 14237833008