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14484113438448 = 2435346112350197
BaseRepresentation
bin1101001011000101100001…
…1011111011011011110000
31220021200000202202201111110
43102301120123323123300
53344301431020012243
650445524310113320
73023304555602103
oct322613033733360
956250022681443
1014484113438448
114684750488275
12175b15034b840
13810acc985c34
1438106b80c73a
151a1b71e96e33
hexd2c586fb6f0

14484113438448 has 80 divisors (see below), whose sum is σ = 38205979723296. Its totient is φ = 4726667013120.

The previous prime is 14484113438429. The next prime is 14484113438519. The reversal of 14484113438448 is 84483431148441.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5002315 + ... + 7347882.

Almost surely, 214484113438448 is an apocalyptic number.

It is an amenable number.

14484113438448 is an abundant number, since it is smaller than the sum of its proper divisors (23721866284848).

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

14484113438448 is a wasteful number, since it uses less digits than its factorization.

14484113438448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12350722 (or 12350716 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 57.

The spelling of 14484113438448 in words is "fourteen trillion, four hundred eighty-four billion, one hundred thirteen million, four hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 461 636 848 922 1272 1383 1844 2544 2766 3688 5532 7376 11064 22128 24433 48866 73299 97732 146598 195464 293196 390928 586392 1172784 12350197 24700394 37050591 49400788 74101182 98801576 148202364 197603152 296404728 592809456 654560441 1309120882 1963681323 2618241764 3927362646 5236483528 5693440817 7854725292 10472967056 11386881634 15709450584 17080322451 22773763268 31418901168 34160644902 45547526536 68321289804 91095053072 136642579608 273285159216 301752363301 603504726602 905257089903 1207009453204 1810514179806 2414018906408 3621028359612 4828037812816 7242056719224 14484113438448