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914389400320 = 28511197329657
BaseRepresentation
bin11010100111001011101…
…10101111101100000000
310020102012100222100121221
431103211312233230000
5104440132141302240
61540021550124424
7123030264442654
oct15234566575400
93212170870557
10914389400320
11322876a84280
1212926b1b0714
13682c3967a76
14323844a4a64
1518bba92ca4a
hexd4e5dafb00

914389400320 has 144 divisors (see below), whose sum is σ = 2401497872928. Its totient is φ = 330816389120.

The previous prime is 914389400317. The next prime is 914389400321. The reversal of 914389400320 is 23004983419.

It is a super-2 number, since 2×9143894003202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (914389400321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2608932 + ... + 2938588.

It is an arithmetic number, because the mean of its divisors is an integer number (16677068562).

Almost surely, 2914389400320 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 914389400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200748936464).

914389400320 is an abundant number, since it is smaller than the sum of its proper divisors (1487108472608).

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

914389400320 is a wasteful number, since it uses less digits than its factorization.

914389400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329886 (or 329872 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 914389400320 in words is "nine hundred fourteen billion, three hundred eighty-nine million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 197 220 256 320 352 394 440 640 704 788 880 985 1280 1408 1576 1760 1970 2167 2816 3152 3520 3940 4334 6304 7040 7880 8668 10835 12608 14080 15760 17336 21670 25216 31520 34672 43340 50432 63040 69344 86680 126080 138688 173360 252160 277376 329657 346720 554752 659314 693440 1318628 1386880 1648285 2637256 2773760 3296570 3626227 5274512 6593140 7252454 10549024 13186280 14504908 18131135 21098048 26372560 29009816 36262270 42196096 52745120 58019632 64942429 72524540 84392192 105490240 116039264 129884858 145049080 210980480 232078528 259769716 290098160 324712145 421960960 464157056 519539432 580196320 649424290 714366719 928314112 1039078864 1160392640 1298848580 1428733438 2078157728 2320785280 2597697160 2857466876 3571833595 4156315456 4641570560 5195394320 5714933752 7143667190 8312630912 10390788640 11429867504 14287334380 16625261824 20781577280 22859735008 28574668760 41563154560 45719470016 57149337520 83126309120 91438940032 114298675040 182877880064 228597350080 457194700160 914389400320