Search a number
-
+
4032040403020 = 2257179354745361
BaseRepresentation
bin111010101011001000010…
…101100000000001001100
3112021110101211100211001111
4322223020111200001030
51012030104320344040
612324143243021404
7564206501640610
oct72531025400114
915243354324044
104032040403020
111314a84768693
1255152a20a864
132332b1b12ca6
14dd21a75d340
156ed38cc7dea
hex3aac856004c

4032040403020 has 96 divisors (see below), whose sum is σ = 9733915860480. Its totient is φ = 1374273008640.

The previous prime is 4032040402993. The next prime is 4032040403047. The reversal of 4032040403020 is 203040402304.

It is an interprime number because it is at equal distance from previous prime (4032040402993) and next prime (4032040403047).

It is a junction number, because it is equal to n+sod(n) for n = 4032040402982 and 4032040403000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88865140 + ... + 88910500.

It is an arithmetic number, because the mean of its divisors is an integer number (101394956880).

Almost surely, 24032040403020 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 4032040403020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866957930240).

4032040403020 is an abundant number, since it is smaller than the sum of its proper divisors (5701875457460).

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

4032040403020 is a wasteful number, since it uses less digits than its factorization.

4032040403020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49103 (or 49101 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 4032040403020 its reverse (203040402304), we get a palindrome (4235080805324).

The spelling of 4032040403020 in words is "four trillion, thirty-two billion, forty million, four hundred three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 716 895 1253 1790 2506 3547 3580 5012 6265 7094 12530 14188 17735 24829 25060 35470 45361 49658 70940 90722 99316 124145 181444 226805 248290 317527 453610 496580 634913 635054 907220 1269826 1270108 1587635 2539652 3174565 3175270 4444391 6349130 6350540 8119619 8888782 12698260 16239238 17777564 22221955 32478476 40598095 44443910 56837333 81196190 88887820 113674666 160895467 162392380 227349332 284186665 321790934 568373330 643581868 804477335 1126268269 1136746660 1608954670 2252536538 3217909340 4505073076 5631341345 11262682690 22525365380 28800288593 57600577186 115201154372 144001442965 201602020151 288002885930 403204040302 576005771860 806408080604 1008010100755 2016020201510 4032040403020