Search a number
-
+
433011103243040 = 25571431592700613
BaseRepresentation
bin110001001110100100100000…
…0111111100001101100100000
32002210011110100021221100010202
41202131021000333201230200
5423223423214412234130
64132534315450444332
7160131006541521620
oct14235110077415440
92083143307840122
10433011103243040
11115a74a83228243
12406945524336a8
131577ca0592219a
1478cdbc6394880
15350d92c2d1145
hex189d240fe1b20

433011103243040 has 96 divisors (see below), whose sum is σ = 1169138578325760. Its totient is φ = 148459857675264.

The previous prime is 433011103243021. The next prime is 433011103243073. The reversal of 433011103243040 is 40342301110334.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 433011103242994 and 433011103243012.

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, 158987774 + ... + 161688386.

It is an arithmetic number, because the mean of its divisors is an integer number (12178526857560).

Almost surely, 2433011103243040 is an apocalyptic number.

433011103243040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

433011103243040 is an abundant number, since it is smaller than the sum of its proper divisors (736127475082720).

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

433011103243040 is a wasteful number, since it uses less digits than its factorization.

433011103243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843794 (or 2843786 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 433011103243040 its reverse (40342301110334), we get a palindrome (473353404353374).

The spelling of 433011103243040 in words is "four hundred thirty-three trillion, eleven billion, one hundred three million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 143159 286318 572636 715795 1002113 1145272 1431590 2004226 2290544 2700613 2863180 4008452 4581088 5010565 5401226 5726360 8016904 10021130 10802452 11452720 13503065 16033808 18904291 20042260 21604904 22905440 27006130 32067616 37808582 40084520 43209808 54012260 75617164 80169040 86419616 94521455 108024520 151234328 160338080 189042910 216049040 302468656 378085820 432098080 604937312 756171640 1512343280 3024686560 386617056467 773234112934 1546468225868 1933085282335 2706319395269 3092936451736 3866170564670 5412638790538 6185872903472 7732341129340 10825277581076 12371745806944 13531596976345 15464682258680 21650555162152 27063193952690 30929364517360 43301110324304 54126387905380 61858729034720 86602220648608 108252775810760 216505551621520 433011103243040