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3398990013224 = 23132337308312457
BaseRepresentation
bin110001011101100011100…
…101111010001100101000
3110000221101110101000001022
4301131203211322030220
5421142112420410344
611121250252112012
7500366066261201
oct61354345721450
913027343330038
103398990013224
1110a055a284063
1246a8b6a65608
131b86a5b45520
14ba724cac5a8
155d6376370ee
hex3176397a328

3398990013224 has 128 divisors (see below), whose sum is σ = 7358288797440. Its totient is φ = 1459411126272.

The previous prime is 3398990013217. The next prime is 3398990013271. The reversal of 3398990013224 is 4223100998933.

3398990013224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 18436352-1.

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, 272851604 + ... + 272864060.

It is an arithmetic number, because the mean of its divisors is an integer number (57486631230).

Almost surely, 23398990013224 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 3398990013224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679144398720).

3398990013224 is an abundant number, since it is smaller than the sum of its proper divisors (3959298784216).

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

3398990013224 is a wasteful number, since it uses less digits than its factorization.

3398990013224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15619 (or 15615 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 53.

The spelling of 3398990013224 in words is "three trillion, three hundred ninety-eight billion, nine hundred ninety million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 23 26 37 46 52 74 92 104 148 184 296 299 481 598 851 962 1196 1702 1924 2392 3083 3404 3848 6166 6808 11063 12332 12457 22126 24664 24914 40079 44252 49828 70909 80158 88504 99656 114071 141818 160316 161941 228142 283636 286511 320632 323882 456284 460909 567272 573022 647764 912568 921817 921818 1146044 1295528 1482923 1843634 1843636 2292088 2623633 2965846 3687268 3687272 3724643 5247266 5931692 5991817 7374536 7449286 10494532 10600907 11863384 11983634 14898572 20989064 21201814 23967268 29797144 34107229 38404931 42403628 47934536 68214458 76809862 84807256 136428916 137811791 153619724 272857832 275623582 307239448 499264103 551247164 883313413 998528206 1102494328 1420982447 1766626826 1997056412 2841964894 3533253652 3994112824 5683929788 7066507304 11367859576 11483074369 18472771811 22966148738 32682596281 36945543622 45932297476 65365192562 73891087244 91864594952 130730385124 147782174488 261460770248 424873751653 849747503306 1699495006612 3398990013224