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14125346636032 = 281759290918911
BaseRepresentation
bin1100110110001101000001…
…0001001100000100000000
31212000100222200201211001201
43031203100101030010000
53322412202214323112
650013032240310544
72655344154234112
oct315432021140400
955010880654051
1014125346636032
114556586a24575
121701706012454
137b6025a45b78
1436b9559093b2
1519767547c257
hexcd8d044c100

14125346636032 has 144 divisors (see below), whose sum is σ = 30372119769600. Its totient is φ = 6531965419520.

The previous prime is 14125346636017. The next prime is 14125346636033. The reversal of 14125346636032 is 23063664352141.

It is not an unprimeable number, because it can be changed into a prime (14125346636033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746928657 + ... + 746947567.

It is an arithmetic number, because the mean of its divisors is an integer number (210917498400).

Almost surely, 214125346636032 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 14125346636032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186059884800).

14125346636032 is an abundant number, since it is smaller than the sum of its proper divisors (16246773133568).

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

14125346636032 is a wasteful number, since it uses less digits than its factorization.

14125346636032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21912 (or 21898 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 14125346636032 in words is "fourteen trillion, one hundred twenty-five billion, three hundred forty-six million, six hundred thirty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 128 136 236 256 272 472 544 944 1003 1088 1888 2006 2176 2909 3776 4012 4352 5818 7552 8024 11636 15104 16048 18911 23272 32096 37822 46544 49453 64192 75644 93088 98906 128384 151288 171631 186176 197812 256768 302576 321487 343262 372352 395624 605152 642974 686524 744704 791248 1115749 1210304 1285948 1373048 1582496 2231498 2420608 2571896 2746096 2917727 3164992 4462996 4841216 5143792 5492192 5835454 6329984 8925992 10287584 10984384 11670908 12659968 17851984 18967733 20575168 21968768 23341816 35703968 37935466 41150336 43937536 46683632 55012099 71407936 75870932 82300672 93367264 110024198 142815872 151741864 186734528 220048396 285631744 303483728 373469056 440096792 606967456 746938112 880193584 935205683 1213934912 1760387168 1870411366 2427869824 3245713841 3520774336 3740822732 4855739648 6491427682 7041548672 7481645464 12982855364 14083097344 14963290928 25965710728 29926581856 51931421456 55177135297 59853163712 103862842912 110354270594 119706327424 207725685824 220708541188 239412654848 415451371648 441417082376 830902743296 882834164752 1765668329504 3531336659008 7062673318016 14125346636032