Search a number
-
+
14314165358445 = 345717315114513
BaseRepresentation
bin1101000001001100011010…
…1111011100111101101101
31212200102100210110202020000
43100103012233130331231
53334010402312432240
650235500425014513
73005110235006151
oct320230657347555
955612323422200
1014314165358445
1146196701a2397
121732221024439
137caa8770a154
14376b48a0d061
1519c526ea5430
hexd04c6bdcf6d

14314165358445 has 160 divisors (see below), whose sum is σ = 26400623445504. Its totient is φ = 7417034956800.

The previous prime is 14314165358431. The next prime is 14314165358459. The reversal of 14314165358445 is 54485356141341.

14314165358445 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 4 + 1 + 6 + 53 + 584 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (14314165358431) and next prime (14314165358459).

It is not a de Polignac number, because 14314165358445 - 210 = 14314165357421 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14314165358391 and 14314165358400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3171760509 + ... + 3171765021.

Almost surely, 214314165358445 is an apocalyptic number.

14314165358445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14314165358445 is a deficient number, since it is larger than the sum of its proper divisors (12086458087059).

14314165358445 is a wasteful number, since it uses less digits than its factorization.

14314165358445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185 (or 6176 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 14314165358445 in words is "fourteen trillion, three hundred fourteen billion, one hundred sixty-five million, three hundred fifty-eight thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 71 73 81 135 213 219 355 365 405 639 657 1065 1095 1511 1917 1971 3195 3285 4513 4533 5183 5751 5913 7555 9585 9855 13539 13599 15549 22565 22665 25915 28755 29565 40617 40797 46647 67695 67995 77745 107281 110303 121851 122391 139941 203085 203985 233235 320423 321843 329449 330909 365553 419823 536405 551515 609255 611955 699705 961269 965529 988347 992727 1602115 1609215 1647245 1654545 1827765 2099115 2883807 2896587 2965041 2978181 4806345 4827645 4941735 4963635 6819143 7831513 8651421 8689761 8895123 8934543 14419035 14482935 14825205 14890905 20457429 23390879 23494539 25954263 26685369 34095715 39157565 43257105 43448805 44475615 44672715 61372287 70172637 70483617 102287145 116954395 117472695 129771315 133426845 184116861 210517911 211450851 306861435 350863185 352418085 484159153 497797439 552350583 631553733 634352553 920584305 1052589555 1057254255 1452477459 1493392317 1894661199 2420795765 2488987195 2761752915 3157768665 3171762765 4357432377 4480176951 7262387295 7466961585 9473305995 13072297131 13440530853 21787161885 22400884755 35343618169 39216891393 40321592559 65361485655 67202654265 106030854507 176718090845 196084456965 201607962795 318092563521 530154272535 954277690563 1590462817605 2862833071689 4771388452815 14314165358445