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145305221174982 = 232115949125332761
BaseRepresentation
bin100001000010011110000010…
…000101111001011011000110
3201001111001011200211212100200
4201002132002011321123012
5123021140043110044412
61233012144100351330
742414645560160231
oct4102360205713306
9631431150755320
10145305221174982
1142331664288050
12143691606a5546
1363102ba2215cb
1427c4b4b3ac418
1511beac79619dc
hex8427821796c6

145305221174982 has 96 divisors (see below), whose sum is σ = 349981226824320. Its totient is φ = 43197422352000.

The previous prime is 145305221174951. The next prime is 145305221174999. The reversal of 145305221174982 is 289471122503541.

145305221174982 is a `hidden beast` number, since 1 + 4 + 5 + 30 + 5 + 2 + 2 + 117 + 498 + 2 = 666.

It is a super-2 number, since 2×1453052211749822 (a number of 29 digits) contains 22 as substring.

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, 6930519 + ... + 18402242.

It is an arithmetic number, because the mean of its divisors is an integer number (3645637779420).

Almost surely, 2145305221174982 is an apocalyptic number.

145305221174982 is an abundant number, since it is smaller than the sum of its proper divisors (204676005649338).

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

145305221174982 is a wasteful number, since it uses less digits than its factorization.

145305221174982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25333330 (or 25333327 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 145305221174982 in words is "one hundred forty-five trillion, three hundred five billion, two hundred twenty-one million, one hundred seventy-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 491 531 649 982 1062 1298 1473 1947 2946 3894 4419 5401 5841 8838 10802 11682 16203 28969 32406 48609 57938 86907 97218 173814 260721 318659 521442 637318 955977 1911954 2867931 5735862 25332761 50665522 75998283 151996566 227994849 278660371 455989698 557320742 835981113 1494632899 1671962226 2507943339 2989265798 4483898697 5015886678 8967797394 12438385651 13451696091 16440961889 24876771302 26903392182 32881923778 37315156953 49322885667 74630313906 98645771334 111945470859 136822242161 147968657001 223890941718 273644484322 295937314002 410466726483 733864753409 820933452966 1231400179449 1467729506818 2201594260227 2462800358898 4403188520454 6604782780681 8072512287499 13209565561362 16145024574998 24217536862497 48435073724994 72652610587491 145305221174982