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3413410242312 = 2337191995373689
BaseRepresentation
bin110001101010111111000…
…110101101111100001000
3110002022121102120112120010
4301222333012231330020
5421411131010223222
611132033215431520
7501416326223340
oct61527706557410
913068542515503
103413410242312
1110a668a104664
124716602255a0
131b9b63529465
14bb2d20d3d20
155dbcd5c780c
hex31abf1adf08

3413410242312 has 128 divisors (see below), whose sum is σ = 10317484800000. Its totient is φ = 919287553536.

The previous prime is 3413410242289. The next prime is 3413410242323. The reversal of 3413410242312 is 2132420143143.

It is a self number, because there is not a number n which added to its sum of digits gives 3413410242312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2051637 + ... + 3322052.

It is an arithmetic number, because the mean of its divisors is an integer number (80605350000).

Almost surely, 23413410242312 is an apocalyptic number.

It is an amenable number.

3413410242312 is an abundant number, since it is smaller than the sum of its proper divisors (6904074557688).

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

3413410242312 is a wasteful number, since it uses less digits than its factorization.

3413410242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373923 (or 5373919 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 3413410242312 its reverse (2132420143143), we get a palindrome (5545830385455).

The spelling of 3413410242312 in words is "three trillion, four hundred thirteen billion, four hundred ten million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 199 228 266 398 399 456 532 597 796 798 1064 1194 1393 1592 1596 2388 2786 3192 3781 4179 4776 5572 7562 8358 11144 11343 15124 16716 22686 26467 30248 33432 45372 52934 79401 90744 105868 158802 211736 317604 635208 5373689 10747378 16121067 21494756 32242134 37615823 42989512 64484268 75231646 102100091 112847469 128968536 150463292 204200182 225694938 300926584 306300273 408400364 451389876 612600546 714700637 816800728 902779752 1069364111 1225201092 1429401274 2138728222 2144101911 2450402184 2858802548 3208092333 4277456444 4288203822 5717605096 6416184666 7485548777 8554912888 8576407644 12832369332 14971097554 17152815288 20317918109 22456646331 25664738664 29942195108 40635836218 44913292662 59884390216 60953754327 81271672436 89826585324 121907508654 142225426763 162543344872 179653170648 243815017308 284450853526 426676280289 487630034616 568901707052 853352560578 1137803414104 1706705121156 3413410242312