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14214234728372 = 2272715701179167
BaseRepresentation
bin1100111011011000001001…
…1010010110011110110100
31212022212102110100202121212
43032312002122112132310
53330341223042301442
650121532420500552
72664641662451300
oct316660232263664
955285373322555
1014214234728372
11459024aa37a08
12171699254a758
137c15203a8503
14371d88c88d00
15199b28dbea82
hexced826967b4

14214234728372 has 72 divisors (see below), whose sum is σ = 29348982609408. Its totient is φ = 6004927656000.

The previous prime is 14214234728359. The next prime is 14214234728381. The reversal of 14214234728372 is 27382743241241.

It is a self number, because there is not a number n which added to its sum of digits gives 14214234728372.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79245533 + ... + 79424699.

It is an arithmetic number, because the mean of its divisors is an integer number (407624758464).

Almost surely, 214214234728372 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 14214234728372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14674491304704).

14214234728372 is an abundant number, since it is smaller than the sum of its proper divisors (15134747881036).

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

14214234728372 is a wasteful number, since it uses less digits than its factorization.

14214234728372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184957 (or 184948 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 50.

The spelling of 14214234728372 in words is "fourteen trillion, two hundred fourteen billion, two hundred thirty-four million, seven hundred twenty-eight thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 497 994 1988 3479 5701 6958 11402 13916 22804 39907 79814 159628 179167 279349 358334 404771 558698 716668 809542 1117396 1254169 1619084 2508338 2833397 5016676 5666794 8779183 11333588 12720857 17558366 19833779 25441714 35116732 39667558 50883428 79335116 89045999 178091998 356183996 623321993 1021431067 1246643986 2042862134 2493287972 4085724268 7150017469 14300034938 28600069876 50050122283 72521605757 100100244566 145043211514 200200489132 290086423028 507651240299 1015302480598 2030604961196 3553558682093 7107117364186 14214234728372