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134022430440 = 23335124094843
BaseRepresentation
bin111110011010001011…
…0111111111011101000
3110210221020211212212000
41330310112333323220
54143434220233230
6141322525451000
712453125601543
oct1746426777350
9423836755760
10134022430440
1151925193708
1221b83a10a60
13c83b34a9a2
1466b57bb85a
153746069b60
hex1f345bfee8

134022430440 has 64 divisors (see below), whose sum is σ = 446741438400. Its totient is φ = 35739314496.

The previous prime is 134022430427. The next prime is 134022430441. The reversal of 134022430440 is 44034220431.

It is a happy number.

134022430440 is a `hidden beast` number, since 13 + 402 + 243 + 0 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×1340224304402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134022430441) 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, 62046342 + ... + 62048501.

It is an arithmetic number, because the mean of its divisors is an integer number (6980334975).

Almost surely, 2134022430440 is an apocalyptic number.

134022430440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134022430440 is an abundant number, since it is smaller than the sum of its proper divisors (312719007960).

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

134022430440 is a wasteful number, since it uses less digits than its factorization.

134022430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124094863 (or 124094853 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 134022430440 its reverse (44034220431), we get a palindrome (178056650871).

The spelling of 134022430440 in words is "one hundred thirty-four billion, twenty-two million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 124094843 248189686 372284529 496379372 620474215 744569058 992758744 1116853587 1240948430 1489138116 1861422645 2233707174 2481896860 2978276232 3350560761 3722845290 4467414348 4963793720 5584267935 6701121522 7445690580 8934828696 11168535870 13402243044 14891381160 16752803805 22337071740 26804486088 33505607610 44674143480 67011215220 134022430440