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40423240320 = 273541295099
BaseRepresentation
bin100101101001011010…
…011011001010000000
310212100011110101001220
4211221122123022000
51130241322142240
630323054155040
72630503605411
oct455132331200
9125304411056
1040423240320
1116163957831
127a017b2a80
133a72970118
141d568a1808
1510b8c3b5d0
hex96969b280

40423240320 has 128 divisors (see below), whose sum is σ = 128905560000. Its totient is φ = 10774806528.

The previous prime is 40423240309. The next prime is 40423240349. The reversal of 40423240320 is 2304232404.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7925131 + ... + 7930229.

Almost surely, 240423240320 is an apocalyptic number.

40423240320 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 40423240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64452780000).

40423240320 is an abundant number, since it is smaller than the sum of its proper divisors (88482319680).

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

40423240320 is a wasteful number, since it uses less digits than its factorization.

40423240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9250 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 40423240320 its reverse (2304232404), we get a palindrome (42727472724).

The spelling of 40423240320 in words is "forty billion, four hundred twenty-three million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 4129 5099 8258 10198 12387 15297 16516 20396 20645 24774 25495 30594 33032 40792 41290 49548 50990 61188 61935 66064 76485 81584 82580 99096 101980 122376 123870 132128 152970 163168 165160 198192 203960 244752 247740 264256 305940 326336 330320 396384 407920 489504 495480 528512 611880 652672 660640 792768 815840 979008 990960 1223760 1321280 1585536 1631680 1958016 1981920 2447520 2642560 3263360 3963840 4895040 7927680 9790080 21053771 42107542 63161313 84215084 105268855 126322626 168430168 210537710 252645252 315806565 336860336 421075420 505290504 631613130 673720672 842150840 1010581008 1263226260 1347441344 1684301680 2021162016 2526452520 2694882688 3368603360 4042324032 5052905040 6737206720 8084648064 10105810080 13474413440 20211620160 40423240320