Search a number
-
+
40723230080 = 2751337132287
BaseRepresentation
bin100101111011010010…
…110010110110000000
310220010001221102122202
4211323102302312000
51131400121330310
630412532052332
72641105513211
oct457322626600
9126101842582
1040723230080
11162a8224555
127a861640a8
133abcb66360
141d84671408
1510d52473a5
hex97b4b2d80

40723230080 has 128 divisors (see below), whose sum is σ = 107677140480. Its totient is φ = 14629773312.

The previous prime is 40723230029. The next prime is 40723230089. The reversal of 40723230080 is 8003232704.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40723230089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241697 + ... + 373983.

It is an arithmetic number, because the mean of its divisors is an integer number (841227660).

Almost surely, 240723230080 is an apocalyptic number.

40723230080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40723230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53838570240).

40723230080 is an abundant number, since it is smaller than the sum of its proper divisors (66953910400).

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

40723230080 is a wasteful number, since it uses less digits than its factorization.

40723230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132356 (or 132344 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 40723230080 its reverse (8003232704), we get a palindrome (48726462784).

The spelling of 40723230080 in words is "forty billion, seven hundred twenty-three million, two hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 64 65 74 80 104 128 130 148 160 185 208 260 296 320 370 416 481 520 592 640 740 832 962 1040 1184 1480 1664 1924 2080 2368 2405 2960 3848 4160 4736 4810 5920 7696 8320 9620 11840 15392 19240 23680 30784 38480 61568 76960 132287 153920 264574 307840 529148 661435 1058296 1322870 1719731 2116592 2645740 3439462 4233184 4894619 5291480 6878924 8466368 8598655 9789238 10582960 13757848 16932736 17197310 19578476 21165920 24473095 27515696 34394620 39156952 42331840 48946190 55031392 63630047 68789240 78313904 84663680 97892380 110062784 127260094 137578480 156627808 195784760 220125568 254520188 275156960 313255616 318150235 391569520 509040376 550313920 626511232 636300470 783139040 1018080752 1100627840 1272600940 1566278080 2036161504 2545201880 3132556160 4072323008 5090403760 8144646016 10180807520 20361615040 40723230080