| Base | Representation |
|---|---|
| bin | 1111101010000001010001… |
| … | …01111100010001000000000 |
| 3 | 11111220101122001122000200000 |
| 4 | 13311000220233202020000 |
| 5 | 14003041340144101140 |
| 6 | 201120310150400000 |
| 7 | 10152265135145430 |
| oct | 765005057421000 |
| 9 | 144811561560600 |
| 10 | 34429141393920 |
| 11 | aa74353829649 |
| 12 | 3a40721960000 |
| 13 | 16298670a8870 |
| 14 | 870544c742c0 |
| 15 | 3ea8aac04a30 |
| hex | 1f5028be2200 |
34429141393920 has 3840 divisors, whose sum is σ = 164121463554048. Its totient is φ = 6716314091520.
The previous prime is 34429141393879. The next prime is 34429141393961. The reversal of 34429141393920 is 2939314192443.
34429141393920 is a `hidden beast` number, since 3 + 4 + 4 + 29 + 141 + 393 + 92 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (34429141393879) and next prime (34429141393961).
It is a tau number, because it is divible by the number of its divisors (3840).
It is a super-3 number, since 3×344291413939203 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
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 383 ways as a sum of consecutive naturals, for example, 40362416214 + ... + 40362417066.
Almost surely, 234429141393920 is an apocalyptic number.
34429141393920 is a gapful number since it is divisible by the number (30) 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 34429141393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82060731777024).
34429141393920 is an abundant number, since it is smaller than the sum of its proper divisors (129692322160128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34429141393920 is a wasteful number, since it uses less digits than its factorization.
34429141393920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 965 (or 937 counting only the distinct ones).
The product of its (nonzero) digits is 5038848, while the sum is 54.
The spelling of 34429141393920 in words is "thirty-four trillion, four hundred twenty-nine billion, one hundred forty-one million, three hundred ninety-three thousand, nine hundred twenty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.068 sec. • engine limits •