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214420337712 = 24327719329573
BaseRepresentation
bin1100011110110001110…
…0101011010000110000
3202111110022200202000100
43013230130223100300
512003113101301322
6242300415552400
721330351540630
oct3075434532060
9674408622010
10214420337712
1182a31766379
1235680b2b700
13172b1a40699
14a5413346c0
15589e436dac
hex31ec72b430

214420337712 has 120 divisors (see below), whose sum is σ = 685923267744. Its totient is φ = 61252365312.

The previous prime is 214420337693. The next prime is 214420337713. The reversal of 214420337712 is 217733024412.

214420337712 is a `hidden beast` number, since 214 + 42 + 0 + 337 + 71 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (214420337713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7235758 + ... + 7265330.

Almost surely, 2214420337712 is an apocalyptic number.

It is an amenable number.

214420337712 is an abundant number, since it is smaller than the sum of its proper divisors (471502930032).

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

214420337712 is a wasteful number, since it uses less digits than its factorization.

214420337712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36787 (or 36778 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 214420337712 in words is "two hundred fourteen billion, four hundred twenty million, three hundred thirty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 7193 14386 21579 28772 29573 43158 50351 57544 59146 64737 86316 88719 100702 115088 118292 129474 151053 172632 177438 201404 207011 236584 258948 266157 302106 345264 354876 402808 414022 453159 473168 517896 532314 604212 621033 709752 805616 828044 906318 1035792 1064628 1208424 1242066 1419504 1656088 1812636 1863099 2129256 2416848 2484132 3312176 3625272 3726198 4258512 4968264 7250544 7452396 9936528 14904792 29809584 212718589 425437178 638155767 850874356 1276311534 1489030123 1701748712 1914467301 2552623068 2978060246 3403497424 3828934602 4467090369 5105246136 5956120492 7657869204 8934180738 10210492272 11912240984 13401271107 15315738408 17868361476 23824481968 26802542214 30631476816 35736722952 53605084428 71473445904 107210168856 214420337712