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3434026066020 = 22325117921953881
BaseRepresentation
bin110001111110001011111…
…001110110000001100100
3110011021211011212220010100
4301332023321312001210
5422230341133103040
611145323024224100
7503046236642544
oct61761371660144
913137734786110
103434026066020
1111043a920a0a0
1247565446b030
131bba9a680204
14bc2ca0c1324
155e4d8439b30
hex31f8be76064

3434026066020 has 144 divisors (see below), whose sum is σ = 11507346789120. Its totient is φ = 821953267200.

The previous prime is 3434026065991. The next prime is 3434026066067. The reversal of 3434026066020 is 206606204343.

3434026066020 is a `hidden beast` number, since 3 + 4 + 3 + 40 + 2 + 6 + 0 + 6 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10820521 + ... + 11133360.

It is an arithmetic number, because the mean of its divisors is an integer number (79912130480).

Almost surely, 23434026066020 is an apocalyptic number.

3434026066020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3434026066020 is an abundant number, since it is smaller than the sum of its proper divisors (8073320723100).

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

3434026066020 is a wasteful number, since it uses less digits than its factorization.

3434026066020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21953986 (or 21953981 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 3434026066020 in words is "three trillion, four hundred thirty-four billion, twenty-six million, sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 79 90 99 110 132 158 165 180 198 220 237 316 330 395 396 474 495 660 711 790 869 948 990 1185 1422 1580 1738 1980 2370 2607 2844 3476 3555 4345 4740 5214 7110 7821 8690 10428 13035 14220 15642 17380 26070 31284 39105 52140 78210 156420 21953881 43907762 65861643 87815524 109769405 131723286 197584929 219538810 241492691 263446572 329308215 395169858 439077620 482985382 658616430 724478073 790339716 965970764 987924645 1207463455 1317232860 1448956146 1734356599 1975849290 2173434219 2414926910 2897912292 3468713198 3622390365 3951698580 4346868438 4829853820 5203069797 6937426396 7244780730 8671782995 8693736876 10406139594 10867171095 14489561460 15609209391 17343565990 19077922589 20812279188 21734342190 26015348985 31218418782 34687131980 38155845178 43468684380 52030697970 57233767767 62436837564 76311690356 78046046955 95389612945 104061395940 114467535534 156092093910 171701303301 190779225890 228935071068 286168838835 312184187820 343402606602 381558451780 572337677670 686805213204 858506516505 1144675355340 1717013033010 3434026066020