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4214301312 = 273132114001
BaseRepresentation
bin1111101100110001…
…0010001010000000
3101212200221200120210
43323030102022000
532112330120222
61534103034120
7206301653514
oct37314221200
911780850523
104214301312
111872954a51
1299743b940
13522145320
142bd9ba144
15199ea6d0c
hexfb312280

4214301312 has 128 divisors (see below), whose sum is σ = 12115494720. Its totient is φ = 1290240000.

The previous prime is 4214301283. The next prime is 4214301323. The reversal of 4214301312 is 2131034124.

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

It is an unprimeable number.

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, 1051312 + ... + 1055312.

Almost surely, 24214301312 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 4214301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057747360).

4214301312 is an abundant number, since it is smaller than the sum of its proper divisors (7901193408).

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

4214301312 is a wasteful number, since it uses less digits than its factorization.

4214301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4214301312 is about 64917.6502347397. The cubic root of 4214301312 is about 1615.2578528626.

Adding to 4214301312 its reverse (2131034124), we get a palindrome (6345335436).

The spelling of 4214301312 in words is "four billion, two hundred fourteen million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 211 312 384 416 422 624 633 832 844 1248 1266 1664 1688 2496 2532 2743 3376 4001 4992 5064 5486 6752 8002 8229 10128 10972 12003 13504 16004 16458 20256 21944 24006 27008 32008 32916 40512 43888 48012 52013 64016 65832 81024 87776 96024 104026 128032 131664 156039 175552 192048 208052 256064 263328 312078 351104 384096 416104 512128 526656 624156 768192 832208 844211 1053312 1248312 1536384 1664416 1688422 2496624 2532633 3328832 3376844 4993248 5065266 6657664 6753688 9986496 10130532 10974743 13507376 19972992 20261064 21949486 27014752 32924229 40522128 43898972 54029504 65848458 81044256 87797944 108059008 131696916 162088512 175595888 263393832 324177024 351191776 526787664 702383552 1053575328 1404767104 2107150656 4214301312