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3402045443412 = 22327114129933881
BaseRepresentation
bin110001100000011001101…
…101011100110101010100
3110001020021101200221022100
4301200121231130311110
5421214342113142122
611122513400402100
7500534600066010
oct61403155346524
913036241627270
103402045443412
1110a1887a63a80
1246b40a176330
131b8a71b66995
14ba9349c3540
155d7659c9aac
hex31819b5cd54

3402045443412 has 144 divisors (see below), whose sum is σ = 10983100512384. Its totient is φ = 862095744000.

The previous prime is 3402045443347. The next prime is 3402045443473. The reversal of 3402045443412 is 2143445402043.

3402045443412 is a `hidden beast` number, since 3 + 4 + 0 + 204 + 5 + 4 + 434 + 12 = 666.

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

It is a congruent number.

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, 14853289 + ... + 15080592.

It is an arithmetic number, because the mean of its divisors is an integer number (76271531336).

Almost surely, 23402045443412 is an apocalyptic number.

It is an amenable number.

3402045443412 is an abundant number, since it is smaller than the sum of its proper divisors (7581055068972).

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

3402045443412 is a wasteful number, since it uses less digits than its factorization.

3402045443412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29933950 (or 29933945 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 3402045443412 in words is "three trillion, four hundred two billion, forty-five million, four hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 41 42 44 63 66 77 82 84 99 123 126 132 154 164 198 231 246 252 287 308 369 396 451 462 492 574 693 738 861 902 924 1148 1353 1386 1476 1722 1804 2583 2706 2772 3157 3444 4059 5166 5412 6314 8118 9471 10332 12628 16236 18942 28413 37884 56826 113652 29933881 59867762 89801643 119735524 179603286 209537167 269404929 329272691 359206572 419074334 538809858 628611501 658545382 838148668 987818073 1077619716 1227289121 1257223002 1317090764 1885834503 1975636146 2304908837 2454578242 2514446004 2963454219 3681867363 3771669006 3951272292 4609817674 4909156484 5926908438 6914726511 7363734726 7543338012 8591023847 9219635348 11045602089 11853816876 13500180331 13829453022 14727469452 17182047694 20744179533 22091204178 25773071541 27000360662 27658906044 34364095388 40500540993 41488359066 44182408356 51546143082 54000721324 77319214623 81001081986 82976718132 94501262317 103092286164 121501622979 154638429246 162002163972 189002524634 243003245958 283503786951 309276858492 378005049268 486006491916 567007573902 850511360853 1134015147804 1701022721706 3402045443412