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400200689712 = 243414311341851
BaseRepresentation
bin1011101001011011101…
…00011110100000110000
31102020222200012110112010
411310231310132200300
523024102334032322
6503503305402520
740625226510135
oct5645564364060
91366880173463
10400200689712
111447a694656a
126568a499440
132b97b0a7555
1415526ac458c
15a62433c20c
hex5d2dd1e830

400200689712 has 160 divisors (see below), whose sum is σ = 1093313523456. Its totient is φ = 125991936000.

The previous prime is 400200689687. The next prime is 400200689729. The reversal of 400200689712 is 217986002004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9541587 + ... + 9583437.

Almost surely, 2400200689712 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 400200689712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546656761728).

400200689712 is an abundant number, since it is smaller than the sum of its proper divisors (693112833744).

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

400200689712 is a wasteful number, since it uses less digits than its factorization.

400200689712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42059 (or 42053 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 400200689712 in words is "four hundred billion, two hundred million, six hundred eighty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 43 48 82 86 113 123 129 164 172 226 246 258 328 339 344 452 492 516 656 678 688 904 984 1032 1356 1763 1808 1968 2064 2712 3526 4633 4859 5289 5424 7052 9266 9718 10578 13899 14104 14577 18532 19436 21156 27798 28208 29154 37064 38872 41851 42312 55596 58308 74128 77744 83702 84624 111192 116616 125553 167404 199219 222384 233232 251106 334808 398438 502212 597657 669616 796876 1004424 1195314 1593752 1715891 1799593 2008848 2390628 3187504 3431782 3599186 4729163 4781256 5147673 5398779 6863564 7198372 9458326 9562512 10295346 10797558 13727128 14187489 14396744 18916652 20590692 21595116 27454256 28374978 28793488 37833304 41181384 43190232 56749956 73783313 75666608 82362768 86380464 113499912 147566626 193895683 203354009 221349939 226999824 295133252 387791366 406708018 442699878 581687049 590266504 610062027 775582732 813416036 885399756 1163374098 1180533008 1220124054 1551165464 1626832072 1770799512 2326748196 2440248108 3102330928 3253664144 3541599024 4653496392 4880496216 8337514369 9306992784 9760992432 16675028738 25012543107 33350057476 50025086214 66700114952 100050172428 133400229904 200100344856 400200689712