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14448451474368 = 26343057791151
BaseRepresentation
bin1101001001000000101011…
…0100010101001111000000
31220011020222102111020120000
43102100022310111033000
53343210412034134433
650421305454320000
73020603045112252
oct322201264251700
956136872436500
1014448451474368
11467061020688a
1217542591b9000
1380a63857c742
1437d447429cd2
151a0c86259113
hexd240ad153c0

14448451474368 has 140 divisors (see below), whose sum is σ = 42831607069152. Its totient is φ = 4815940147200.

The previous prime is 14448451474367. The next prime is 14448451474399. The reversal of 14448451474368 is 86347415484441.

14448451474368 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 84 + 51 + 474 + 36 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14448451474367) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 158465593 + ... + 158556743.

Almost surely, 214448451474368 is an apocalyptic number.

14448451474368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14448451474368 is an abundant number, since it is smaller than the sum of its proper divisors (28383155594784).

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

14448451474368 is an equidigital number, since it uses as much as digits as its factorization.

14448451474368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121752 (or 121733 counting only the distinct ones).

The product of its digits is 165150720, while the sum is 63.

The spelling of 14448451474368 in words is "fourteen trillion, four hundred forty-eight billion, four hundred fifty-one million, four hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 30577 61154 91151 91731 122308 182302 183462 244616 273453 275193 364604 366924 489232 546906 550386 729208 733848 820359 825579 978464 1093812 1100772 1458416 1467696 1640718 1651158 1956928 2187624 2201544 2461077 2476737 2916832 2935392 3281436 3302316 4375248 4403088 4922154 4953474 5833664 5870784 6562872 6604632 7383231 8750496 8806176 9844308 9906948 13125744 13209264 14766462 17500992 17612352 19688616 19813896 26251488 26418528 29532924 39377232 39627792 52502976 52837056 59065848 78754464 79255584 118131696 157508928 158511168 236263392 472526784 2787124127 5574248254 8361372381 11148496508 16722744762 22296993016 25084117143 33445489524 44593986032 50168234286 66890979048 75252351429 89187972064 100336468572 133781958096 150504702858 178375944128 200672937144 225757054287 267563916192 301009405716 401345874288 451514108574 535127832384 602018811432 802691748576 903028217148 1204037622864 1605383497152 1806056434296 2408075245728 3612112868592 4816150491456 7224225737184 14448451474368