Search a number
-
+
1420013429976 = 233297991128349
BaseRepresentation
bin10100101010011111011…
…001010110010011011000
312000202022011210101012010
4110222133121112103120
5141231141414224401
63004202315545520
7204410154000261
oct24523731262330
95022264711163
101420013429976
114a825161a469
121ab25b75b2a0
13a3ba300462b
144ca2c5c9968
1526e1017eed6
hex14a9f6564d8

1420013429976 has 128 divisors (see below), whose sum is σ = 3723148800000. Its totient is φ = 450719592960.

The previous prime is 1420013429953. The next prime is 1420013430001. The reversal of 1420013429976 is 6799243100241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50076250 + ... + 50104598.

It is an arithmetic number, because the mean of its divisors is an integer number (29087100000).

Almost surely, 21420013429976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420013429976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861574400000).

1420013429976 is an abundant number, since it is smaller than the sum of its proper divisors (2303135370024).

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

1420013429976 is a wasteful number, since it uses less digits than its factorization.

1420013429976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29377 (or 29373 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 1420013429976 in words is "one trillion, four hundred twenty billion, thirteen million, four hundred twenty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 79 87 116 158 174 232 237 316 348 474 632 696 911 948 1822 1896 2291 2733 3644 4582 5466 6873 7288 9164 10932 13746 18328 21864 26419 27492 28349 52838 54984 56698 71969 79257 85047 105676 113396 143938 158514 170094 211352 215907 226792 287876 317028 340188 431814 575752 634056 680376 822121 863628 1644242 1727256 2087101 2239571 2466363 3288484 4174202 4479142 4932726 6261303 6576968 6718713 8348404 8958284 9865452 12522606 13437426 16696808 17916568 19730904 25045212 25825939 26874852 50090424 51651878 53749704 64947559 77477817 103303756 129895118 154955634 194842677 206607512 259790236 309911268 389685354 519580472 619822536 748952231 779370708 1497904462 1558741416 2040249181 2246856693 2995808924 4080498362 4493713386 5991617848 6120747543 8160996724 8987426772 12241495086 16321993448 17974853544 24482990172 48965980344 59167226249 118334452498 177501678747 236668904996 355003357494 473337809992 710006714988 1420013429976