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42431231400 = 23352312281249
BaseRepresentation
bin100111100001000110…
…010011010110101000
311001112002211212222220
4213201012103112220
51143344343401100
631254224314040
73031325341665
oct474106232650
9131462755886
1042431231400
1116aa4362198
128282172920
13400298481c
1420a743aa6c
15118517baa0
hex9e11935a8

42431231400 has 96 divisors (see below), whose sum is σ = 135780000000. Its totient is φ = 10949990400.

The previous prime is 42431231341. The next prime is 42431231411. The reversal of 42431231400 is 413213424.

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 23 ways as a sum of consecutive naturals, for example, 1122025 + ... + 1159224.

It is an arithmetic number, because the mean of its divisors is an integer number (1414375000).

Almost surely, 242431231400 is an apocalyptic number.

42431231400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42431231400 is an abundant number, since it is smaller than the sum of its proper divisors (93348768600).

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

42431231400 is a wasteful number, since it uses less digits than its factorization.

42431231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281299 (or 2281290 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42431231400 its reverse (413213424), we get a palindrome (42844444824).

The spelling of 42431231400 in words is "forty-two billion, four hundred thirty-one million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 2281249 4562498 6843747 9124996 11406245 13687494 18249992 22812490 27374988 34218735 45624980 54749976 57031225 68437470 70718719 91249960 114062450 136874940 141437438 171093675 212156157 228124900 273749880 282874876 342187350 353593595 424312314 456249800 565749752 684374700 707187190 848624628 1060780785 1368749400 1414374380 1697249256 1767967975 2121561570 2828748760 3535935950 4243123140 5303903925 7071871900 8486246280 10607807850 14143743800 21215615700 42431231400