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14857016448 = 273172978479
BaseRepresentation
bin11011101011000110…
…00001010010000000
31102100102002122010110
431311203001102000
5220411344011243
610454125231320
71034112361521
oct156543012200
942312078113
1014857016448
11633444239a
122a67702540
13152a0359c1
14a0d244848
155be4bde33
hex3758c1480

14857016448 has 128 divisors (see below), whose sum is σ = 43226784000. Its totient is φ = 4500242432.

The previous prime is 14857016443. The next prime is 14857016453. The reversal of 14857016448 is 84461075841.

It is an interprime number because it is at equal distance from previous prime (14857016443) and next prime (14857016453).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×148570164482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 14857016397 and 14857016406.

It is not an unprimeable number, because it can be changed into a prime (14857016443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150073 + ... + 228551.

It is an arithmetic number, because the mean of its divisors is an integer number (337709250).

Almost surely, 214857016448 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 14857016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21613392000).

14857016448 is an abundant number, since it is smaller than the sum of its proper divisors (28369767552).

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

14857016448 is a wasteful number, since it uses less digits than its factorization.

14857016448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78542 (or 78530 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 14857016448 in words is "fourteen billion, eight hundred fifty-seven million, sixteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 272 348 384 408 464 493 544 696 816 928 986 1088 1392 1479 1632 1856 1972 2176 2784 2958 3264 3712 3944 5568 5916 6528 7888 11136 11832 15776 23664 31552 47328 63104 78479 94656 156958 189312 235437 313916 470874 627832 941748 1255664 1334143 1883496 2275891 2511328 2668286 3766992 4002429 4551782 5022656 5336572 6827673 7533984 8004858 9103564 10045312 10673144 13655346 15067968 16009716 18207128 21346288 27310692 30135936 32019432 36414256 38690147 42692576 54621384 64038864 72828512 77380294 85385152 109242768 116070441 128077728 145657024 154760588 170770304 218485536 232140882 256155456 291314048 309521176 436971072 464281764 512310912 619042352 873942144 928563528 1238084704 1857127056 2476169408 3714254112 4952338816 7428508224 14857016448