Search a number
-
+
1428061134294 = 234283106329303
BaseRepresentation
bin10100110001111111000…
…100111001110111010110
312001112002000222010010000
4110301333010321313112
5141344132122244134
63012013042112130
7205113454234134
oct24617704716726
95045060863100
101428061134294
1150070130a873
121b092694b646
13a48863aac52
144d193350754
152723194ee99
hex14c7f139dd6

1428061134294 has 80 divisors (see below), whose sum is σ = 3214352477952. Its totient is φ = 473875929072.

The previous prime is 1428061134277. The next prime is 1428061134359. The reversal of 1428061134294 is 4924311608241.

1428061134294 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 0 + 611 + 3 + 4 + 29 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48719647 + ... + 48748949.

Almost surely, 21428061134294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428061134294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607176238976).

1428061134294 is an abundant number, since it is smaller than the sum of its proper divisors (1786291343658).

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

1428061134294 is a wasteful number, since it uses less digits than its factorization.

1428061134294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30663 (or 30654 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1428061134294 in words is "one trillion, four hundred twenty-eight billion, sixty-one million, one hundred thirty-four thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 283 566 849 1063 1698 2126 2547 3189 5094 6378 7641 9567 15282 19134 22923 28701 29303 45846 57402 58606 86103 87909 172206 175818 263727 300829 527454 601658 791181 902487 1582362 1804974 2373543 2707461 4747086 5414922 8122383 8292749 16244766 16585498 24367149 24878247 31149089 48734298 49756494 62298178 74634741 93447267 149269482 186894534 223904223 280341801 447808446 560683602 671712669 841025403 1343425338 1682050806 2523076209 5046152418 8815192187 17630384374 26445576561 52891153122 79336729683 158673459366 238010189049 476020378098 714030567147 1428061134294