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134014220340 = 22357112131091861
BaseRepresentation
bin111110011001111011…
…1101011100000110100
3110210220200101202201020
41330303313223200310
54143430120022330
6141322033501140
712452666035440
oct1746367534064
9423820352636
10134014220340
1151920596300
1221b811117b0
13c839734a40
1466b4681820
153745497210
hex1f33deb834

134014220340 has 576 divisors, whose sum is σ = 512567784960. Its totient is φ = 25455513600.

The previous prime is 134014220339. The next prime is 134014220341. The reversal of 134014220340 is 43022410431.

It is an interprime number because it is at equal distance from previous prime (134014220339) and next prime (134014220341).

It is a super-2 number, since 2×1340142203402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134014220340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134014220341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72011010 + ... + 72012870.

Almost surely, 2134014220340 is an apocalyptic number.

134014220340 is a gapful number since it is divisible by the number (10) 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 134014220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256283892480).

134014220340 is an abundant number, since it is smaller than the sum of its proper divisors (378553564620).

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

134014220340 is a wasteful number, since it uses less digits than its factorization.

134014220340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2011 counting only the distinct ones).

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

Adding to 134014220340 its reverse (43022410431), we get a palindrome (177036630771).

The spelling of 134014220340 in words is "one hundred thirty-four billion, fourteen million, two hundred twenty thousand, three hundred forty".