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200202414441040 = 245114325121078731
BaseRepresentation
bin101101100001010101000001…
…110010111100001001010000
3222020212011102111010001112001
4231201111001302330021100
5202220104021044103130
61545443415225243344
760112101314552314
oct5541250162741120
9866764374101461
10200202414441040
115887740475a870
121a55469b633554
138793011881a9b
143761bc4643b44
151822ace48d6ca
hexb61541cbc250

200202414441040 has 160 divisors (see below), whose sum is σ = 521665228288512. Its totient is φ = 70824532800000.

The previous prime is 200202414441019. The next prime is 200202414441053. The reversal of 200202414441040 is 40144414202002.

It is a happy number.

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, 1041526 + ... + 20037205.

Almost surely, 2200202414441040 is an apocalyptic number.

200202414441040 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 200202414441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260832614144256).

200202414441040 is an abundant number, since it is smaller than the sum of its proper divisors (321462813847472).

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

200202414441040 is a wasteful number, since it uses less digits than its factorization.

200202414441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21079049 (or 21079043 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 200202414441040 its reverse (40144414202002), we get a palindrome (240346828643042).

The spelling of 200202414441040 in words is "two hundred trillion, two hundred two billion, four hundred fourteen million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 110 172 176 215 220 251 344 430 440 473 502 688 860 880 946 1004 1255 1720 1892 2008 2365 2510 2761 3440 3784 4016 4730 5020 5522 7568 9460 10040 10793 11044 13805 18920 20080 21586 22088 27610 37840 43172 44176 53965 55220 86344 107930 110440 118723 172688 215860 220880 237446 431720 474892 593615 863440 949784 1187230 1899568 2374460 4748920 9497840 21078731 42157462 84314924 105393655 168629848 210787310 231866041 337259696 421574620 463732082 843149240 906385433 927464164 1159330205 1686298480 1812770866 1854928328 2318660410 3625541732 3709856656 4531927165 4637320820 5290761481 7251083464 9063854330 9274641640 9970239763 10581522962 14502166928 18127708660 18549283280 19940479526 21163045924 26453807405 36255417320 39880959052 42326091848 49851198815 52907614810 58198376291 72510834640 79761918104 84652183696 99702397630 105815229620 116396752582 159523836208 199404795260 211630459240 227502743683 232793505164 290991881455 398809590520 423260918480 455005487366 465587010328 581983762910 797619181040 910010974732 931174020656 1137513718415 1163967525820 1820021949464 2275027436830 2327935051640 2502530180513 3640043898928 4550054873660 4655870103280 5005060361026 9100109747320 10010120722052 12512650902565 18200219494640 20020241444104 25025301805130 40040482888208 50050603610260 100101207220520 200202414441040