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14385805821056 = 271249303729629
BaseRepresentation
bin1101000101010111010011…
…0110001000010010000000
31212221021021112122022202002
43101111310312020102000
53341144112242233211
650332425320443132
73013224451621505
oct321256466102200
955837245568662
1014385805821056
114646a9339228a
1217440953194a8
13804763986827
1437a3c344d4ac
1519e31b60903b
hexd1574d88480

14385805821056 has 64 divisors (see below), whose sum is σ = 28692580875000. Its totient is φ = 7184534962176.

The previous prime is 14385805821043. The next prime is 14385805821077. The reversal of 14385805821056 is 65012850858341.

It can be written as a sum of positive squares in 4 ways, for example, as 14383936123456 + 1869697600 = 3792616^2 + 43240^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×143858058210562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14385805820992 and 14385805821010.

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 7 ways as a sum of consecutive naturals, for example, 485516450 + ... + 485546078.

Almost surely, 214385805821056 is an apocalyptic number.

14385805821056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14385805821056 is a deficient number, since it is larger than the sum of its proper divisors (14306775053944).

14385805821056 is a wasteful number, since it uses less digits than its factorization.

14385805821056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33929 (or 33917 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 56.

The spelling of 14385805821056 in words is "fourteen trillion, three hundred eighty-five billion, eight hundred five million, eight hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 128 1249 2498 3037 4996 6074 9992 12148 19984 24296 29629 39968 48592 59258 79936 97184 118516 159872 194368 237032 388736 474064 948128 1896256 3792512 3793213 7586426 15172852 30345704 37006621 60691408 74013242 89983273 121382816 148026484 179966546 242765632 296052968 359933092 485531264 592105936 719866184 1184211872 1439732368 2368423744 2879464736 4736847488 5758929472 11517858944 112389107977 224778215954 449556431908 899112863816 1798225727632 3596451455264 7192902910528 14385805821056