Search a number
-
+
455414264563140 = 22355283933300343
BaseRepresentation
bin110011110001100100110010…
…1011101110000010111000100
32012201111011211010101202200000
41213203021211131300113010
5434143001403212010030
64252330231440121300
7164632411010663361
oct14743114535602704
92181434733352600
10455414264563140
111221221177a1aa3
12430b2403906230
13167164c4a2340c
14806624d061468
15379b58434a860
hex19e32657705c4

455414264563140 has 144 divisors (see below), whose sum is σ = 1432637983690368. Its totient is φ = 121439489842944.

The previous prime is 455414264562989. The next prime is 455414264563151. The reversal of 455414264563140 is 41365462414554.

455414264563140 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 1 + 4 + 2 + 64 + 563 + 14 + 0 = 666.

It is a super-3 number, since 3×4554142645631403 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 136339809 + ... + 139640151.

Almost surely, 2455414264563140 is an apocalyptic number.

It is an amenable number.

455414264563140 is an abundant number, since it is smaller than the sum of its proper divisors (977223719127228).

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

455414264563140 is a wasteful number, since it uses less digits than its factorization.

455414264563140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328760 (or 3328746 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 455414264563140 in words is "four hundred fifty-five trillion, four hundred fourteen billion, two hundred sixty-four million, five hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 28393 56786 85179 113572 141965 170358 255537 283930 340716 425895 511074 567860 766611 851790 1022148 1277685 1533222 1703580 2299833 2555370 3066444 3300343 3833055 4599666 5110740 6600686 6899499 7666110 9199332 9901029 11499165 13201372 13798998 15332220 16501715 19802058 22998330 27597996 29703087 33003430 34497495 39604116 45996660 49505145 59406174 66006860 68994990 89109261 99010290 118812348 137989980 148515435 178218522 198020580 267327783 297030870 356437044 445546305 534655566 594061740 801983349 891092610 1069311132 1336638915 1603966698 1782185220 2673277830 3207933396 4009916745 5346555660 8019833490 16039666980 93706638799 187413277598 281119916397 374826555196 468533193995 562239832794 843359749191 937066387990 1124479665588 1405599581985 1686719498382 1874132775980 2530079247573 2811199163970 3373438996764 4216798745955 5060158495146 5622398327940 7590237742719 8433597491910 10120316990292 12650396237865 15180475485438 16867194983820 22770713228157 25300792475730 30360950970876 37951188713595 45541426456314 50601584951460 75902377427190 91082852912628 113853566140785 151804754854380 227707132281570 455414264563140