Search a number
-
+
4335214004432 = 2417191675023097
BaseRepresentation
bin111111000101011110111…
…001000000100011010000
3120100102221111222111111122
4333011132321000203100
51032012004241120212
613115323025301412
7625131434014433
oct77053671004320
916312844874448
104335214004432
111421610317673
125a023a494868
13255a6929974c
1410db7b17781a
1577b7edbd272
hex3f15ee408d0

4335214004432 has 80 divisors (see below), whose sum is σ = 9417705978240. Its totient is φ = 1921153388544.

The previous prime is 4335214004399. The next prime is 4335214004437. The reversal of 4335214004432 is 2344004125334.

It is a junction number, because it is equal to n+sod(n) for n = 4335214004392 and 4335214004401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4335214004437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1648493 + ... + 3374604.

It is an arithmetic number, because the mean of its divisors is an integer number (117721324728).

Almost surely, 24335214004432 is an apocalyptic number.

It is an amenable number.

4335214004432 is an abundant number, since it is smaller than the sum of its proper divisors (5082491973808).

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

4335214004432 is a wasteful number, since it uses less digits than its factorization.

4335214004432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023308 (or 5023302 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 4335214004432 its reverse (2344004125334), we get a palindrome (6679218129766).

The spelling of 4335214004432 in words is "four trillion, three hundred thirty-five billion, two hundred fourteen million, four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 167 272 304 323 334 646 668 1292 1336 2584 2672 2839 3173 5168 5678 6346 11356 12692 22712 25384 45424 50768 53941 107882 215764 431528 863056 5023097 10046194 20092388 40184776 80369552 85392649 95438843 170785298 190877686 341570596 381755372 683141192 763510744 838857199 1366282384 1527021488 1622460331 1677714398 3244920662 3355428796 6489841324 6710857592 12979682648 13421715184 14260572383 15938286781 25959365296 28521144766 31876573562 57042289532 63753147124 114084579064 127506294248 228169158128 255012588496 270950875277 541901750554 1083803501108 2167607002216 4335214004432