Search a number
-
+
4390684607312 = 241771361362927
BaseRepresentation
bin111111111001001001001…
…100100100001101010000
3120112202010100201002110222
4333321021030210031100
51033414110224413222
613201015213012212
7632134154243633
oct77711114441520
916482110632428
104390684607312
111443095aa5623
125aab3b484068
1325b0695296a3
1411272026bc1a
1579329b77542
hex3fe49324350

4390684607312 has 80 divisors (see below), whose sum is σ = 9136897915392. Its totient is φ = 2036506859520.

The previous prime is 4390684607291. The next prime is 4390684607327. The reversal of 4390684607312 is 2137064860934.

It is a super-3 number, since 3×43906846073123 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 69742793 + ... + 69805719.

Almost surely, 24390684607312 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 4390684607312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568448957696).

4390684607312 is an abundant number, since it is smaller than the sum of its proper divisors (4746213308080).

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

4390684607312 is a wasteful number, since it uses less digits than its factorization.

4390684607312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66636 (or 66630 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 53.

The spelling of 4390684607312 in words is "four trillion, three hundred ninety billion, six hundred eighty-four million, six hundred seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 1136 1207 2414 3613 4828 7226 9656 14452 19312 28904 57808 61421 62927 122842 125854 245684 251708 256523 491368 503416 513046 982736 1006832 1026092 1069759 2052184 2139518 4104368 4279036 4360891 4467817 8558072 8721782 8935634 17116144 17443564 17871268 34887128 35742536 69774256 71485072 75952889 151905778 227355251 303811556 454710502 607623112 909421004 1215246224 1818842008 3637684016 3865039267 7730078534 15460157068 16142222821 30920314136 32284445642 61840628272 64568891284 129137782568 258275565136 274417787957 548835575914 1097671151828 2195342303656 4390684607312