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42044758269912 = 23373377130881
BaseRepresentation
bin10011000111101010011101…
…11000011001111111011000
312111212102212111100120000000
421203311032320121333120
521002330131104114122
6225231032330213000
711566430206420446
oct1143651670317730
9174772774316000
1042044758269912
1112440099a36572
124870680584160
131a5ca5a9347c8
14a54d97471b96
154cda322d90ac
hex263d4ee19fd8

42044758269912 has 128 divisors (see below), whose sum is σ = 118583715307200. Its totient is φ = 13973330165760.

The previous prime is 42044758269827. The next prime is 42044758269949. The reversal of 42044758269912 is 21996285744024.

It is a happy number.

42044758269912 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 47 + 582 + 6 + 9 + 9 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42044758269912.

It is a congruent number.

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, 2330712 + ... + 9461592.

Almost surely, 242044758269912 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 42044758269912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59291857653600).

42044758269912 is an abundant number, since it is smaller than the sum of its proper divisors (76538957037288).

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

42044758269912 is an equidigital number, since it uses as much as digits as its factorization.

42044758269912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131245 (or 7131223 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 42044758269912 in words is "forty-two trillion, forty-four billion, seven hundred fifty-eight million, two hundred sixty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 337 486 648 674 729 972 1011 1348 1458 1944 2022 2187 2696 2916 3033 4044 4374 5832 6066 8088 8748 9099 12132 17496 18198 24264 27297 36396 54594 72792 81891 109188 163782 218376 245673 327564 491346 655128 737019 982692 1474038 1965384 2948076 5896152 7130881 14261762 21392643 28523524 42785286 57047048 64177929 85570572 128355858 171141144 192533787 256711716 385067574 513423432 577601361 770135148 1155202722 1540270296 1732804083 2310405444 2403106897 3465608166 4620810888 4806213794 5198412249 6931216332 7209320691 9612427588 10396824498 13862432664 14418641382 15595236747 19224855176 20793648996 21627962073 28837282764 31190473494 41587297992 43255924146 57674565528 62380946988 64883886219 86511848292 124761893976 129767772438 173023696584 194651658657 259535544876 389303317314 519071089752 583954975971 778606634628 1167909951942 1557213269256 1751864927913 2335819903884 3503729855826 4671639807768 5255594783739 7007459711652 10511189567478 14014919423304 21022379134956 42044758269912