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4406414320660 = 22511137769119009
BaseRepresentation
bin100000000011111001011…
…0000101010010000010100
3120121020201120221022200211
41000013302300222100110
51034143314031230120
613212140115215204
7633232024510342
oct100076260522024
916536646838624
104406414320660
111449828011020
125b1bab2a7504
1325c6a52b9491
141133b3362992
157994aa7d25a
hex401f2c2a414

4406414320660 has 96 divisors (see below), whose sum is σ = 10170235635840. Its totient is φ = 1590346137600.

The previous prime is 4406414320639. The next prime is 4406414320673. The reversal of 4406414320660 is 660234146044.

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, 231797236 + ... + 231816244.

It is an arithmetic number, because the mean of its divisors is an integer number (105939954540).

Almost surely, 24406414320660 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 4406414320660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085117817920).

4406414320660 is an abundant number, since it is smaller than the sum of its proper divisors (5763821315180).

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

4406414320660 is a wasteful number, since it uses less digits than its factorization.

4406414320660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26857 (or 26855 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 4406414320660 in words is "four trillion, four hundred six billion, four hundred fourteen million, three hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 274 548 685 1370 1507 2740 3014 6028 7535 7691 15070 15382 19009 30140 30764 38018 38455 76036 76910 84601 95045 153820 169202 190090 209099 338404 380180 418198 423005 836396 846010 1045495 1053667 1692020 2090990 2107334 2604233 4181980 4214668 5208466 5268335 10416932 10536670 11590337 13021165 21073340 23180674 26042330 28646563 46361348 52084660 57293126 57951685 114586252 115903370 143232815 146198219 231806740 286465630 292396438 572931260 584792876 730991095 1461982190 1608180409 2923964380 3216360818 6432721636 8040902045 16081804090 20029156003 32163608180 40058312006 80116624012 100145780015 200291560030 220320716033 400583120060 440641432066 881282864132 1101603580165 2203207160330 4406414320660