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14442602012442 = 23310348714993557
BaseRepresentation
bin1101001000101010111000…
…1010011001111100011010
31220010200212202200210022000
43102022232022121330122
53343111422103344232
650414501220141430
73020305066364352
oct322125612317432
956120782623260
1014442602012442
11466908935552a
1217530a6237876
13809c15740776
1437d050605b62
151a0a4295a27c
hexd22ae299f1a

14442602012442 has 128 divisors (see below), whose sum is σ = 32503610880000. Its totient is φ = 4753160854848.

The previous prime is 14442602012411. The next prime is 14442602012453. The reversal of 14442602012442 is 24421020624441.

14442602012442 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 2 + 6 + 0 + 201 + 2 + 442 = 666.

14442602012442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14442602012397 and 14442602012406.

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, 4060330528 + ... + 4060334084.

It is an arithmetic number, because the mean of its divisors is an integer number (253934460000).

Almost surely, 214442602012442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14442602012442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16251805440000).

14442602012442 is an abundant number, since it is smaller than the sum of its proper divisors (18061008867558).

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

14442602012442 is a wasteful number, since it uses less digits than its factorization.

14442602012442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 14442602012442 its reverse (24421020624441), we get a palindrome (38863622636883).

The spelling of 14442602012442 in words is "fourteen trillion, four hundred forty-two billion, six hundred two million, twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 487 618 927 974 1461 1499 1854 2781 2922 2998 3557 4383 4497 5562 7114 8766 8994 10671 13149 13491 21342 26298 26982 32013 40473 50161 64026 80946 96039 100322 150483 154397 192078 300966 308794 366371 451449 463191 730013 732742 902898 926382 1099113 1354347 1389573 1460026 1732259 2190039 2198226 2708694 2779146 3297339 3464518 4168719 4380078 5196777 5331943 6570117 6594678 8337438 9892017 10393554 10663886 13140234 15590331 15995829 19710351 19784034 31180662 31991658 39420702 46770993 47987487 75191339 93541986 95974974 143962461 150382678 178422677 225574017 287924922 356845354 451148034 535268031 549190129 676722051 1070536062 1098380258 1353444102 1605804093 1647570387 2030166153 2596656241 3211608186 3295140774 4060332306 4817412279 4942711161 5193312482 7789968723 9634824558 9885422322 14828133483 15579937446 23369906169 29656266966 46739812338 70109718507 140219437014 267455592823 534911185646 802366778469 1604733556938 2407100335407 4814200670814 7221301006221 14442602012442