| Base | Representation |
|---|---|
| bin | 1000010100100010101… |
| … | …1110001001100010000 |
| 3 | 111122222122221210210200 |
| 4 | 2011020223301030100 |
| 5 | 4320232024312000 |
| 6 | 145401042255200 |
| 7 | 13220342313552 |
| oct | 2051053611420 |
| 9 | 448878853720 |
| 10 | 142953354000 |
| 11 | 55698494776 |
| 12 | 23856957500 |
| 13 | 106326c3942 |
| 14 | 6cc19714d2 |
| 15 | 3aba14e500 |
| hex | 2148af1310 |
142953354000 has 240 divisors, whose sum is σ = 516507142320. Its totient is φ = 36806246400.
The previous prime is 142953353999. The next prime is 142953354001. The reversal of 142953354000 is 453359241.
142953354000 is a `hidden beast` number, since 14 + 295 + 3 + 354 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (142953353999) and next prime (142953354001).
It can be written as a sum of positive squares in 8 ways, for example, as 44347305744 + 98606048256 = 210588^2 + 314016^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1429533540002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (142953354001) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385072 + ... + 658928.
It is an arithmetic number, because the mean of its divisors is an integer number (2152113093).
Almost surely, 2142953354000 is an apocalyptic number.
142953354000 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 142953354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258253571160).
142953354000 is an abundant number, since it is smaller than the sum of its proper divisors (373553788320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142953354000 is a wasteful number, since it uses less digits than its factorization.
142953354000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 273915 (or 273896 counting only the distinct ones).
The product of its (nonzero) digits is 64800, while the sum is 36.
The spelling of 142953354000 in words is "one hundred forty-two billion, nine hundred fifty-three million, three hundred fifty-four thousand".
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