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42086523440 = 2451340467811
BaseRepresentation
bin100111001100100011…
…010110001000110000
311000122002012220120102
4213030203112020300
51142143122222230
631200112131532
73016641355343
oct471443261060
9130562186512
1042086523440
1116937821a85
1281a6836ba8
133c79432310
14207374a45a
151164c8b045
hex9cc8d6230

42086523440 has 40 divisors (see below), whose sum is σ = 105378182448. Its totient is φ = 15539639040.

The previous prime is 42086523379. The next prime is 42086523443. The reversal of 42086523440 is 4432568024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 42086523394 and 42086523403.

It is not an unprimeable number, because it can be changed into a prime (42086523443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20232866 + ... + 20234945.

Almost surely, 242086523440 is an apocalyptic number.

42086523440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42086523440 is an abundant number, since it is smaller than the sum of its proper divisors (63291659008).

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

42086523440 is a wasteful number, since it uses less digits than its factorization.

42086523440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40467837 (or 40467831 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 42086523440 in words is "forty-two billion, eighty-six million, five hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 40467811 80935622 161871244 202339055 323742488 404678110 526081543 647484976 809356220 1052163086 1618712440 2104326172 2630407715 3237424880 4208652344 5260815430 8417304688 10521630860 21043261720 42086523440