Search a number
-
+
14427034632432 = 243413879802073
BaseRepresentation
bin1101000111110000111001…
…0001100100000011110000
31220002012200211220221120000
43101330032101210003300
53342333031331214212
650403404353150000
73016214240005662
oct321741621440360
956065624827500
1014427034632432
11466251aa35514
12175008085b300
138086044aa4c6
1437c3b4cca532
151a0430e1d1dc
hexd1f0e4640f0

14427034632432 has 100 divisors (see below), whose sum is σ = 41759084487120. Its totient is φ = 4808659053312.

The previous prime is 14427034632403. The next prime is 14427034632467. The reversal of 14427034632432 is 23423643072441.

14427034632432 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 7 + 0 + 3 + 4 + 632 + 4 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17586148 + ... + 18388220.

Almost surely, 214427034632432 is an apocalyptic number.

14427034632432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14427034632432 is an abundant number, since it is smaller than the sum of its proper divisors (27332049854688).

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

14427034632432 is a wasteful number, since it uses less digits than its factorization.

14427034632432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815972 (or 815957 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 45.

The spelling of 14427034632432 in words is "fourteen trillion, four hundred twenty-seven billion, thirty-four million, six hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 13879 27758 41637 55516 83274 111032 124911 166548 222064 249822 333096 374733 499644 666192 749466 802073 999288 1124199 1498932 1604146 1998576 2248398 2406219 2997864 3208292 4496796 4812438 5995728 6416584 7218657 8993592 9624876 12833168 14437314 17987184 19249752 21655971 28874628 38499504 43311942 57749256 64967913 86623884 115498512 129935826 173247768 259871652 346495536 519743304 1039486608 11131971167 22263942334 33395913501 44527884668 66791827002 89055769336 100187740503 133583654004 178111538672 200375481006 267167308008 300563221509 400750962012 534334616016 601126443018 801501924024 901689664527 1202252886036 1603003848048 1803379329054 2404505772072 3606758658108 4809011544144 7213517316216 14427034632432