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14011243452396 = 22327119512809691
BaseRepresentation
bin1100101111100011111100…
…1100000101011111101100
31211121110110122110111220100
43023320333030011133230
53314030011310434041
645444402033151100
72644164450205131
oct313707714053754
954543418414810
1014011243452396
114512153724903
1216a35810bb490
137a834043a968
1436620d7d2588
151946e802b6b6
hexcbe3f3057ec

14011243452396 has 72 divisors (see below), whose sum is σ = 35934567072768. Its totient is φ = 4602272220000.

The previous prime is 14011243452361. The next prime is 14011243452407. The reversal of 14011243452396 is 69325434211041.

It is a happy number.

14011243452396 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 1 + 2 + 4 + 34 + 523 + 96 = 666.

It is a super-2 number, since 2×140112434523962 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3581911 + ... + 6391601.

It is an arithmetic number, because the mean of its divisors is an integer number (499091209344).

Almost surely, 214011243452396 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 14011243452396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967283536384).

14011243452396 is an abundant number, since it is smaller than the sum of its proper divisors (21923323620372).

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

14011243452396 is a wasteful number, since it uses less digits than its factorization.

14011243452396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811723 (or 2811718 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 14011243452396 in words is "fourteen trillion, eleven billion, two hundred forty-three million, four hundred fifty-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 1951 2556 3902 5853 7804 11706 17559 23412 35118 70236 138521 277042 415563 554084 831126 1246689 1662252 2493378 2809691 4986756 5619382 8429073 11238764 16858146 25287219 33716292 50574438 101148876 199488061 398976122 598464183 797952244 1196928366 1795392549 2393856732 3590785098 5481707141 7181570196 10963414282 16445121423 21926828564 32890242846 49335364269 65780485692 98670728538 197341457076 389201207011 778402414022 1167603621033 1556804828044 2335207242066 3502810863099 4670414484132 7005621726198 14011243452396