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14048348357440 = 265113388505209
BaseRepresentation
bin1100110001101110001011…
…0100000100001101000000
31211202000020112212222201201
43030123202310010031000
53320132004134414230
645513415552110544
72646650111534635
oct314334264041500
954660215788651
1014048348357440
114526964454191
1216aa7b7535454
137ab9a4778c87
14367d2d6a418c
1519566a7925ca
hexcc6e2d04340

14048348357440 has 56 divisors (see below), whose sum is σ = 33748670582280. Its totient is φ = 5569610661888.

The previous prime is 14048348357401. The next prime is 14048348357513. The reversal of 14048348357440 is 4475384384041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1672924949056 + 12375423408384 = 1293416^2 + 3517872^2 .

It is a congruent number.

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, 194216445 + ... + 194288764.

Almost surely, 214048348357440 is an apocalyptic number.

14048348357440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14048348357440 is an abundant number, since it is smaller than the sum of its proper divisors (19700322224840).

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

14048348357440 is a wasteful number, since it uses less digits than its factorization.

14048348357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388505339 (or 388505329 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 55.

The spelling of 14048348357440 in words is "fourteen trillion, forty-eight billion, three hundred forty-eight million, three hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 452 565 904 1130 1808 2260 3616 4520 7232 9040 18080 36160 388505209 777010418 1554020836 1942526045 3108041672 3885052090 6216083344 7770104180 12432166688 15540208360 24864333376 31080416720 43901088617 62160833440 87802177234 124321666880 175604354468 219505443085 351208708936 439010886170 702417417872 878021772340 1404834835744 1756043544680 2809669671488 3512087089360 7024174178720 14048348357440