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14061456100000 = 2555140614561
BaseRepresentation
bin1100110010011111000000…
…0110001000101010100000
31211210021002001102022012101
43030213300012020222200
53320340330230200000
645523424352340144
72650622663522551
oct314476006105240
954707061368171
1014061456100000
114531480429181
1216b1255244654
137accb327266a
14368814478328
15195b863c7e6a
hexcc9f0188aa0

14061456100000 has 72 divisors (see below), whose sum is σ = 34602150187836. Its totient is φ = 5624582400000.

The previous prime is 14061456099991. The next prime is 14061456100001. The reversal of 14061456100000 is 165416041.

It can be written as a sum of positive squares in 6 ways, for example, as 3325794152976 + 10735661947024 = 1823676^2 + 3276532^2 .

It is not an unprimeable number, because it can be changed into a prime (14061456100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70207281 + ... + 70407280.

Almost surely, 214061456100000 is an apocalyptic number.

14061456100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14061456100000 is an abundant number, since it is smaller than the sum of its proper divisors (20540694087836).

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

14061456100000 is an frugal number, since it uses more digits than its factorization.

14061456100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140614596 (or 140614568 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 14061456100000 in words is "fourteen trillion, sixty-one billion, four hundred fifty-six million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 140614561 281229122 562458244 703072805 1124916488 1406145610 2249832976 2812291220 3515364025 4499665952 5624582440 7030728050 11249164880 14061456100 17576820125 22498329760 28122912200 35153640250 56245824400 70307280500 87884100625 112491648800 140614561000 175768201250 281229122000 351536402500 439420503125 562458244000 703072805000 878841006250 1406145610000 1757682012500 2812291220000 3515364025000 7030728050000 14061456100000