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42433402320 = 24325349168869
BaseRepresentation
bin100111100001001110…
…100101010111010000
311001112020221011221100
4213201032211113100
51143400422333240
631254343024400
73031352653131
oct474116452720
9131466834840
1042433402320
1116aa5605241
128282a3b100
1340032649aa
1420a7843c88
151185459e30
hex9e13a55d0

42433402320 has 120 divisors (see below), whose sum is σ = 142914681000. Its totient is φ = 11283084288.

The previous prime is 42433402267. The next prime is 42433402339. The reversal of 42433402320 is 2320433424.

42433402320 is a `hidden beast` number, since 4 + 2 + 4 + 334 + 0 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1993801104 + 40439601216 = 44652^2 + 201096^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 166846 + ... + 335714.

It is an arithmetic number, because the mean of its divisors is an integer number (1190955675).

Almost surely, 242433402320 is an apocalyptic number.

42433402320 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 42433402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71457340500).

42433402320 is an abundant number, since it is smaller than the sum of its proper divisors (100481278680).

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

42433402320 is a wasteful number, since it uses less digits than its factorization.

42433402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169237 (or 169228 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42433402320 its reverse (2320433424), we get a palindrome (44753835744).

The spelling of 42433402320 in words is "forty-two billion, four hundred thirty-three million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 349 360 698 720 1047 1396 1745 2094 2792 3141 3490 4188 5235 5584 6282 6980 8376 10470 12564 13960 15705 16752 20940 25128 27920 31410 41880 50256 62820 83760 125640 168869 251280 337738 506607 675476 844345 1013214 1350952 1519821 1688690 2026428 2533035 2701904 3039642 3377380 4052856 5066070 6079284 6754760 7599105 8105712 10132140 12158568 13509520 15198210 20264280 24317136 30396420 40528560 58935281 60792840 117870562 121585680 176805843 235741124 294676405 353611686 471482248 530417529 589352810 707223372 884029215 942964496 1060835058 1178705620 1414446744 1768058430 2121670116 2357411240 2652087645 2828893488 3536116860 4243340232 4714822480 5304175290 7072233720 8486680464 10608350580 14144467440 21216701160 42433402320