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33420150414 = 23272233175197
BaseRepresentation
bin11111000111111111…
…110000011010001110
310012021002220112201200
4133013333300122032
51021421024303124
623204125450330
72262116406600
oct370777603216
9105232815650
1033420150414
111319a892722
1265884109a6
1331c7b24941
14189077d170
15d09011bc9
hex7c7ff068e

33420150414 has 144 divisors (see below), whose sum is σ = 88188935328. Its totient is φ = 9102893184.

The previous prime is 33420150389. The next prime is 33420150473. The reversal of 33420150414 is 41405102433.

It is a happy number.

It is a super-2 number, since 2×334201504142 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6428064 + ... + 6433260.

It is an arithmetic number, because the mean of its divisors is an integer number (612423162).

Almost surely, 233420150414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33420150414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44094467664).

33420150414 is an abundant number, since it is smaller than the sum of its proper divisors (54768784914).

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

33420150414 is a wasteful number, since it uses less digits than its factorization.

33420150414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5559 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 33420150414 its reverse (41405102433), we get a palindrome (74825252847).

The spelling of 33420150414 in words is "thirty-three billion, four hundred twenty million, one hundred fifty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 317 322 414 441 483 634 882 951 966 1127 1449 1902 2219 2254 2853 2898 3381 4438 5197 5706 6657 6762 7291 10143 10394 13314 14582 15533 15591 19971 20286 21873 31066 31182 36379 39942 43746 46599 46773 51037 65619 72758 93198 93546 102074 109137 119531 131238 139797 153111 218274 239062 254653 279594 306222 327411 357259 358593 459333 509306 654822 714518 717186 763959 836717 918666 1071777 1075779 1527918 1647449 1673434 2143554 2151558 2291877 2510151 3215331 3294898 4583754 4942347 5020302 5857019 6430662 7530453 9884694 11532143 11714038 14827041 15060906 17571057 23064286 29654082 34596429 35142114 37891327 52713171 69192858 75782654 80725001 103789287 105426342 113673981 161450002 207578574 227347962 242175003 265239289 341021943 484350006 530478578 682043886 726525009 795717867 1453050018 1591435734 1856675023 2387153601 3713350046 4774307202 5570025069 11140050138 16710075207 33420150414