Search a number
-
+
14300317173144 = 23317101712148733
BaseRepresentation
bin1101000000011000110101…
…0100110100010110011000
31212122002121200200001021010
43100012031110310112120
53333244022144020034
650225250334213520
73004110122246112
oct320061524642630
955562550601233
1014300317173144
114613804265852
12172b5b73542a0
137c968b6b4172
143761d37743b2
1519beb635e3e9
hexd018d534598

14300317173144 has 128 divisors (see below), whose sum is σ = 38234723647680. Its totient is φ = 4441239552000.

The previous prime is 14300317173113. The next prime is 14300317173173. The reversal of 14300317173144 is 44137171300341.

It is a congruent number.

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, 293417802 + ... + 293466534.

Almost surely, 214300317173144 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 14300317173144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19117361823840).

14300317173144 is an abundant number, since it is smaller than the sum of its proper divisors (23934406474536).

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

14300317173144 is a wasteful number, since it uses less digits than its factorization.

14300317173144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55981 (or 55977 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

Adding to 14300317173144 its reverse (44137171300341), we get a palindrome (58437488473485).

The spelling of 14300317173144 in words is "fourteen trillion, three hundred billion, three hundred seventeen million, one hundred seventy-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 101 102 136 202 204 303 404 408 606 808 1212 1717 2424 3434 5151 6868 7121 10302 13736 14242 20604 21363 28484 41208 42726 48733 56968 85452 97466 121057 146199 170904 194932 242114 292398 363171 389864 484228 584796 719221 726342 828461 968456 1169592 1438442 1452684 1656922 2157663 2485383 2876884 2905368 3313844 4315326 4922033 4970766 5753768 6627688 8630652 9844066 9941532 12226757 14766099 17261304 19688132 19883064 24453514 29532198 36680271 39376264 48907028 59064396 73360542 83674561 97814056 118128792 146721084 167349122 251023683 293442168 334698244 347027693 502047366 669396488 694055386 1004094732 1041083079 1388110772 2008189464 2082166158 2776221544 4164332316 5899470781 8328664632 11798941562 17698412343 23597883124 35049796993 35396824686 47195766248 70099593986 70793649372 105149390979 140199187972 141587298744 210298781958 280398375944 420597563916 595846548881 841195127832 1191693097762 1787539646643 2383386195524 3575079293286 4766772391048 7150158586572 14300317173144