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200441210432140 = 225234133343318743
BaseRepresentation
bin101101100100110011011011…
…001001010110101010001100
3222021200222210120220021210201
4231210303123021112222030
5202233012044332312030
61550145230524143244
760135254023154146
oct5544633311265214
9867628716807721
10200441210432140
1158959704885327
121a592a23997b24
1387ac6a96873c2
14376d59903bc96
151828e0886b2ca
hexb64cdb256a8c

200441210432140 has 96 divisors (see below), whose sum is σ = 449955472490496. Its totient is φ = 74817570178560.

The previous prime is 200441210432107. The next prime is 200441210432143. The reversal of 200441210432140 is 41234012144002.

200441210432140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200441210432099 and 200441210432108.

It is not an unprimeable number, because it can be changed into a prime (200441210432143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628689609 + ... + 629008351.

It is an arithmetic number, because the mean of its divisors is an integer number (4687036171776).

Almost surely, 2200441210432140 is an apocalyptic number.

200441210432140 is a gapful number since it is divisible by the number (20) 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 200441210432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224977736245248).

200441210432140 is an abundant number, since it is smaller than the sum of its proper divisors (249514262058356).

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

200441210432140 is a wasteful number, since it uses less digits than its factorization.

200441210432140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352159 (or 352157 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 200441210432140 its reverse (41234012144002), we get a palindrome (241675222576142).

The spelling of 200441210432140 in words is "two hundred trillion, four hundred forty-one billion, two hundred ten million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1886 3772 4715 9430 18860 33343 66686 133372 166715 318743 333430 637486 666860 766889 1274972 1367063 1533778 1593715 2734126 3067556 3187430 3834445 5468252 6374860 6835315 7331089 7668890 13068463 13670630 14662178 15337780 26136926 27341260 29324356 31442449 36655445 52273852 62884898 65342315 73310890 125769796 130684630 146621780 157212245 261369260 300574649 314424490 601149298 628848980 1202298596 1502873245 3005746490 6011492980 10627847849 21255695698 42511391396 53139239245 106278478490 212556956980 244440500527 435741761809 488881001054 871483523618 977762002108 1222202502635 1742967047236 2178708809045 2444405005270 4357417618090 4888810010540 8714835236180 10022060521607 20044121043214 40088242086428 50110302608035 100220605216070 200441210432140