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14324180076528 = 2437438069122869
BaseRepresentation
bin1101000001110001101110…
…1010100100011111110000
31212201101012201221010202120
43100130123222210133300
53334141410044422103
650244234255114240
73005613351501030
oct320343352443760
955641181833676
1014324180076528
11462293a24a303
121734156b12980
137cb9c247b83a
14377418ac38c0
1519c9112be253
hexd071baa47f0

14324180076528 has 160 divisors (see below), whose sum is σ = 43279650163200. Its totient is φ = 3996917664768.

The previous prime is 14324180076517. The next prime is 14324180076533. The reversal of 14324180076528 is 82567008142341.

14324180076528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 116519478 + ... + 116642346.

It is an arithmetic number, because the mean of its divisors is an integer number (270497813520).

Almost surely, 214324180076528 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 14324180076528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21639825081600).

14324180076528 is an abundant number, since it is smaller than the sum of its proper divisors (28955470086672).

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

14324180076528 is a wasteful number, since it uses less digits than its factorization.

14324180076528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130999 (or 130993 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 14324180076528 in words is "fourteen trillion, three hundred twenty-four billion, one hundred eighty million, seventy-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 8069 14448 16138 24207 32276 48414 56483 64552 96828 112966 122869 129104 169449 193656 225932 245738 338898 346967 368607 387312 451864 491476 677796 693934 737214 860083 903728 982952 1040901 1355592 1387868 1474428 1720166 1965904 2081802 2428769 2580249 2711184 2775736 2948856 3440332 4163604 4857538 5160498 5283367 5551472 5897712 6880664 7286307 8327208 9715076 10320996 10566734 13761328 14572614 15850101 16654416 19430152 20641992 21133468 29145228 31700202 36983569 38860304 41283984 42266936 58290456 63400404 73967138 84533872 110950707 116580912 126800808 147934276 221901414 253601616 295868552 443802828 591737104 887605656 991429961 1775211312 1982859922 2974289883 3965719844 5948579766 6940009727 7931439688 11897159532 13880019454 15862879376 20820029181 23794319064 27760038908 41640058362 42631488323 47588638128 55520077816 83280116724 85262976646 111040155632 127894464969 166560233448 170525953292 255788929938 298420418261 333120466896 341051906584 511577859876 596840836522 682103813168 895261254783 1023155719752 1193681673044 1790522509566 2046311439504 2387363346088 3581045019132 4774726692176 7162090038264 14324180076528