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444002310114 = 2311471277611481
BaseRepresentation
bin1100111011000001001…
…10011001011111100010
31120110001021200022211020
412131200212121133202
524233304042410424
6535545530230310
744035535236266
oct6354046313742
91513037608736
10444002310114
11161333802250
1272073585396
1332b3b94092c
14176c01260a6
15b839960079
hex67609997e2

444002310114 has 128 divisors (see below), whose sum is σ = 999118209024. Its totient is φ = 130386816000.

The previous prime is 444002310023. The next prime is 444002310121. The reversal of 444002310114 is 411013200444.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299798254 + ... + 299799734.

It is an arithmetic number, because the mean of its divisors is an integer number (7805611008).

Almost surely, 2444002310114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444002310114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499559104512).

444002310114 is an abundant number, since it is smaller than the sum of its proper divisors (555115898910).

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

444002310114 is a wasteful number, since it uses less digits than its factorization.

444002310114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 444002310114 its reverse (411013200444), we get a palindrome (855015510558).

The spelling of 444002310114 in words is "four hundred forty-four billion, two million, three hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 47 66 94 127 141 254 282 381 517 761 762 1034 1397 1481 1522 1551 2283 2794 2962 3102 4191 4443 4566 5969 8371 8382 8886 11938 16291 16742 17907 25113 32582 35767 35814 48873 50226 65659 69607 71534 96647 97746 107301 131318 139214 188087 193294 196977 208821 214602 289941 376174 393437 393954 417642 564261 579882 765677 786874 1063117 1127041 1128522 1180311 1531354 2068957 2126234 2254082 2297031 2360622 3189351 3381123 4137914 4542409 4594062 6206871 6378702 6762246 8840089 9084818 12397451 12413742 13627227 17680178 24794902 26520267 27254454 37192353 49966499 52970927 53040534 74384706 97240979 99932998 105941854 143134207 149899497 158912781 194481958 286268414 291722937 299798994 317825562 429402621 582680197 583445874 858805242 1165360394 1574476277 1748040591 3148952554 3496081182 4723428831 6727307729 9446857662 13454615458 20181923187 40363846374 74000385019 148000770038 222001155057 444002310114