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4213431030096 = 2432223661198503
BaseRepresentation
bin111101010100000100000…
…011110101000101010000
3112220210121020211102000200
4331110010003311011100
51023013101320430341
612543342401415200
7613260514555221
oct75240403650520
915823536742020
104213431030096
1113849a6a77542
1258071163a500
1324742b8a39a2
14107d0710b248
1574903623db6
hex3d5040f5150

4213431030096 has 120 divisors (see below), whose sum is σ = 11862611744256. Its totient is φ = 1396056625920.

The previous prime is 4213431030071. The next prime is 4213431030101. The reversal of 4213431030096 is 6900301343124.

4213431030096 is a `hidden beast` number, since 4 + 2 + 1 + 34 + 310 + 300 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4213431030096.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 21126781 + ... + 21325283.

Almost surely, 24213431030096 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 4213431030096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931305872128).

4213431030096 is an abundant number, since it is smaller than the sum of its proper divisors (7649180714160).

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

4213431030096 is a wasteful number, since it uses less digits than its factorization.

4213431030096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199401 (or 199392 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 4213431030096 in words is "four trillion, two hundred thirteen billion, four hundred thirty-one million, thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 446 661 669 892 1322 1338 1784 1983 2007 2644 2676 3568 3966 4014 5288 5352 5949 7932 8028 10576 10704 11898 15864 16056 23796 31728 32112 47592 95184 147403 198503 294806 397006 442209 589612 595509 794012 884418 1179224 1191018 1326627 1588024 1768836 1786527 2358448 2382036 2653254 3176048 3537672 3573054 4764072 5306508 7075344 7146108 9528144 10613016 14292216 21226032 28584432 44266169 88532338 131210483 132798507 177064676 262420966 265597014 354129352 393631449 398395521 524841932 531194028 708258704 787262898 796791042 1049683864 1062388056 1180894347 1574525796 1593582084 2099367728 2124776112 2361788694 3149051592 3187164168 4723577388 6298103184 6374328336 9447154776 18894309552 29259937709 58519875418 87779813127 117039750836 175559626254 234079501672 263339439381 351119252508 468159003344 526678878762 702238505016 1053357757524 1404477010032 2106715515048 4213431030096