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14427133448 = 2371348740693
BaseRepresentation
bin11010110111110110…
…01001011000001000
31101020110012022111212
431123323021120020
5214021321232243
610343331312252
71020342416360
oct153373113010
941213168455
1014427133448
116133816992
12296774b688
13148bc60770
149ac1019a0
155968a6318
hex35bec9608

14427133448 has 64 divisors (see below), whose sum is σ = 33362568960. Its totient is φ = 5695577856.

The previous prime is 14427133429. The next prime is 14427133459. The reversal of 14427133448 is 84433172441.

14427133448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 334190 + ... + 374882.

It is an arithmetic number, because the mean of its divisors is an integer number (521290140).

Almost surely, 214427133448 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 14427133448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681284480).

14427133448 is an abundant number, since it is smaller than the sum of its proper divisors (18935435512).

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

14427133448 is a wasteful number, since it uses less digits than its factorization.

14427133448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41206 (or 41202 counting only the distinct ones).

The product of its digits is 258048, while the sum is 41.

The spelling of 14427133448 in words is "fourteen billion, four hundred twenty-seven million, one hundred thirty-three thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 487 728 974 1948 3409 3896 6331 6818 12662 13636 25324 27272 40693 44317 50648 81386 88634 162772 177268 284851 325544 354536 529009 569702 1058018 1139404 2116036 2278808 3703063 4232072 7406126 14812252 19817491 29624504 39634982 79269964 138722437 158539928 257627383 277444874 515254766 554889748 1030509532 1109779496 1803391681 2061019064 3606783362 7213566724 14427133448