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200504240504442 = 2357459711282051
BaseRepresentation
bin101101100101101110001000…
…000001111111111001111010
3222021221000111021002201100000
4231211232020001333321322
5202240030141032120232
61550234213153253430
760142644665013660
oct5545561001777172
9867830437081300
10200504240504442
11589834096a2576
121a5a3094564276
1387b5612ac7984
1437726580c4c30
15182a89710327c
hexb65b8807fe7a

200504240504442 has 96 divisors (see below), whose sum is σ = 514886688336384. Its totient is φ = 57285635022000.

The previous prime is 200504240504423. The next prime is 200504240504459. The reversal of 200504240504442 is 244405042405002.

200504240504442 is a `hidden beast` number, since 2 + 0 + 0 + 504 + 24 + 0 + 50 + 44 + 42 = 666.

It is a super-3 number, since 3×2005042405044423 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200504240504397 and 200504240504406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155752317 + ... + 157034367.

It is an arithmetic number, because the mean of its divisors is an integer number (5363403003504).

Almost surely, 2200504240504442 is an apocalyptic number.

200504240504442 is an abundant number, since it is smaller than the sum of its proper divisors (314382447831942).

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

200504240504442 is a wasteful number, since it uses less digits than its factorization.

200504240504442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328046 (or 1328034 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

Adding to 200504240504442 its reverse (244405042405002), we get a palindrome (444909282909444).

The spelling of 200504240504442 in words is "two hundred trillion, five hundred four billion, two hundred forty million, five hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 45971 91942 137913 275826 321797 413739 643594 827478 965391 1241217 1282051 1930782 2482434 2564102 2896173 3723651 3846153 5792346 7447302 7692306 8688519 8974357 11170953 11538459 17377038 17948714 22341906 23076918 26065557 26923071 34615377 52131114 53846142 69230754 78196671 80769213 103846131 156393342 161538426 207692262 242307639 311538393 484615278 623076786 726922917 1453845834 2180768751 4361537502 58937166521 117874333042 176811499563 353622999126 412560165647 530434498689 825120331294 1060868997378 1237680496941 1591303496067 2475360993882 3182606992134 3713041490823 4773910488201 7426082981646 9547820976402 11139124472469 14321731464603 22278248944938 28643462929206 33417373417407 66834746834814 100252120252221 200504240504442