Search a number
-
+
4214042336 = 257223116849
BaseRepresentation
bin1111101100101101…
…0010111011100000
3101212200110112100002
43323023102323200
532112243323321
61534053315132
7206266524500
oct37313227340
911780415302
104214042336
111872798419
12997335aa8
1352208449a
142bd94da00
15199e5520b
hexfb2d2ee0

4214042336 has 72 divisors (see below), whose sum is σ = 10070600400. Its totient is φ = 1727480832.

The previous prime is 4214042303. The next prime is 4214042387. The reversal of 4214042336 is 6332404124.

It is a junction number, because it is equal to n+sod(n) for n = 4214042299 and 4214042308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22361 + ... + 94488.

It is an arithmetic number, because the mean of its divisors is an integer number (139869450).

Almost surely, 24214042336 is an apocalyptic number.

4214042336 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4214042336 is an abundant number, since it is smaller than the sum of its proper divisors (5856558064).

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

4214042336 is a wasteful number, since it uses less digits than its factorization.

4214042336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116896 (or 116881 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 4214042336 is about 64915.6555539571. The cubic root of 4214042336 is about 1615.2247654020.

The spelling of 4214042336 in words is "four billion, two hundred fourteen million, forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 4508 5152 9016 18032 36064 116849 233698 467396 817943 934792 1635886 1869584 2687527 3271772 3739168 5375054 5725601 6543544 10750108 11451202 13087088 18812689 21500216 22902404 26174176 37625378 43000432 45804808 75250756 86000864 91609616 131688823 150501512 183219232 263377646 301003024 526755292 602006048 1053510584 2107021168 4214042336