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42043043440 = 2451964742751
BaseRepresentation
bin100111001001111101…
…011110111001110000
311000112001101220020001
4213021331132321300
51142101004342230
631151520155344
73015602654446
oct471175367160
9130461356201
1042043043440
11169152248a2
128194168b54
133c7041a7c8
14206ba6cb96
15116104d0ca
hex9c9f5ee70

42043043440 has 80 divisors (see below), whose sum is σ = 103056261120. Its totient is φ = 15907104000.

The previous prime is 42043043431. The next prime is 42043043443. The reversal of 42043043440 is 4434034024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42043043399 and 42043043408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42043043443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962065 + ... + 1004815.

It is an arithmetic number, because the mean of its divisors is an integer number (1288203264).

Almost surely, 242043043440 is an apocalyptic number.

42043043440 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 42043043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51528130560).

42043043440 is an abundant number, since it is smaller than the sum of its proper divisors (61013217680).

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

42043043440 is a wasteful number, since it uses less digits than its factorization.

42043043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43430 (or 43424 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 42043043440 its reverse (4434034024), we get a palindrome (46477077464).

The spelling of 42043043440 in words is "forty-two billion, forty-three million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 647 760 1294 1520 2588 3235 5176 6470 10352 12293 12940 24586 25880 42751 49172 51760 61465 85502 98344 122930 171004 196688 213755 245860 342008 427510 491720 684016 812269 855020 983440 1624538 1710040 3249076 3420080 4061345 6498152 8122690 12996304 16245380 27659897 32490760 55319794 64981520 110639588 138299485 221279176 276598970 442558352 525538043 553197940 1051076086 1106395880 2102152172 2212791760 2627690215 4204304344 5255380430 8408608688 10510760860 21021521720 42043043440