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14151040516912 = 24131491513023861
BaseRepresentation
bin1100110111101100101110…
…1111100100001100110000
31212002211022100022012111111
43031323023233210030300
53323322312333020122
650032522005323104
72660243655512605
oct315731357441460
955084270265444
1014151040516912
114566471500572
121706696a06494
137b858bc58490
1436ccb20b66ac
1519817b013d77
hexcdecbbe4330

14151040516912 has 80 divisors (see below), whose sum is σ = 29921719262400. Its totient is φ = 6444450432000.

The previous prime is 14151040516859. The next prime is 14151040516919. The reversal of 14151040516912 is 21961504015141.

It is a happy number.

It is a super-2 number, since 2×141510405169122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14151040516919) 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, 3167862 + ... + 6191722.

It is an arithmetic number, because the mean of its divisors is an integer number (374021490780).

Almost surely, 214151040516912 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 14151040516912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960859631200).

14151040516912 is an abundant number, since it is smaller than the sum of its proper divisors (15770678745488).

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

14151040516912 is a wasteful number, since it uses less digits than its factorization.

14151040516912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024182 (or 3024176 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 40.

The spelling of 14151040516912 in words is "fourteen trillion, one hundred fifty-one billion, forty million, five hundred sixteen thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 149 151 208 298 302 596 604 1192 1208 1937 1963 2384 2416 3874 3926 7748 7852 15496 15704 22499 30992 31408 44998 89996 179992 292487 359984 584974 1169948 2339896 3023861 4679792 6047722 12095444 24190888 39310193 48381776 78620386 157240772 314481544 450555289 456603011 628963088 901110578 913206022 1802221156 1826412044 3604442312 3652824088 5857218757 5935839143 7208884624 7305648176 11714437514 11871678286 23428875028 23743356572 46857750056 47486713144 68033848639 93715500112 94973426288 136067697278 272135394556 544270789112 884440032307 1088541578224 1768880064614 3537760129228 7075520258456 14151040516912