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14471616032900 = 2252132856308641
BaseRepresentation
bin1101001010010110111110…
…0010000111000010000100
31220020110202210200202000022
43102211233202013002010
53344100332201023100
650440100231234312
73022353064445315
oct322455742070204
956213683622008
1014471616032900
11467a417a81534
121758842b18998
1380c88a767200
14380603b1260c
151a168ec21e85
hexd296f887084

14471616032900 has 54 divisors (see below), whose sum is σ = 34004872482462. Its totient is φ = 5343365913600.

The previous prime is 14471616032869. The next prime is 14471616032921. The reversal of 14471616032900 is 923061617441.

It can be written as a sum of positive squares in 9 ways, for example, as 13456160773696 + 1015455259204 = 3668264^2 + 1007698^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 428137421 + ... + 428171220.

Almost surely, 214471616032900 is an apocalyptic number.

14471616032900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14471616032900 is an abundant number, since it is smaller than the sum of its proper divisors (19533256449562).

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

14471616032900 is a wasteful number, since it uses less digits than its factorization.

14471616032900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856308681 (or 856308661 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 14471616032900 in words is "fourteen trillion, four hundred seventy-one billion, six hundred sixteen million, thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 856308641 1712617282 3425234564 4281543205 8563086410 11132012333 17126172820 21407716025 22264024666 42815432050 44528049332 55660061665 85630864100 111320123330 144716160329 222640246660 278300308325 289432320658 556600616650 578864641316 723580801645 1113201233300 1447161603290 2894323206580 3617904008225 7235808016450 14471616032900