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134010144134244 = 223273728151148051
BaseRepresentation
bin11110011110000110101011…
…000010011001010001100100
3122120111020121100200101211200
4132132012223002121101210
5120031110233344243434
61153003224344002500
740140625204346160
oct3636065302312144
9576436540611750
10134010144134244
11397774237aa014
1213044092160430
1359a1143b95101
1425141a885dca0
151075da0dd3199
hex79e1ab099464

134010144134244 has 144 divisors (see below), whose sum is σ = 399018638368896. Its totient is φ = 37121208768000.

The previous prime is 134010144134239. The next prime is 134010144134327. The reversal of 134010144134244 is 442431441010431.

134010144134244 is a `hidden beast` number, since 1 + 3 + 40 + 101 + 441 + 34 + 2 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 134010144134199 and 134010144134208.

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, 22953982 + ... + 28194069.

Almost surely, 2134010144134244 is an apocalyptic number.

134010144134244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134010144134244 is an abundant number, since it is smaller than the sum of its proper divisors (265008494234652).

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

134010144134244 is a wasteful number, since it uses less digits than its factorization.

134010144134244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51148386 (or 51148381 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 134010144134244 its reverse (442431441010431), we get a palindrome (576441585144675).

The spelling of 134010144134244 in words is "one hundred thirty-four trillion, ten billion, one hundred forty-four million, one hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 281 333 444 518 562 666 777 843 1036 1124 1332 1554 1686 1967 2331 2529 3108 3372 3934 4662 5058 5901 7868 9324 10116 10397 11802 17703 20794 23604 31191 35406 41588 62382 70812 72779 93573 124764 145558 187146 218337 291116 374292 436674 655011 873348 1310022 2620044 51148051 102296102 153444153 204592204 306888306 358036357 460332459 613776612 716072714 920664918 1074109071 1432145428 1841329836 1892477887 2148218142 3222327213 3784955774 4296436284 5677433661 6444654426 7569911548 11354867322 12889308852 13247345209 14372602331 17032300983 22709734644 26494690418 28745204662 34064601966 39742035627 43117806993 52989380836 57490409324 68129203932 79484071254 86235613986 100608216317 119226106881 129353420979 158968142508 172471227972 201216432634 238452213762 258706841958 301824648951 402432865268 476904427524 517413683916 531786286247 603649297902 905473946853 1063572572494 1207298595804 1595358858741 1810947893706 2127145144988 3190717717482 3621895787412 3722504003729 4786076576223 6381435434964 7445008007458 9572153152446 11167512011187 14890016014916 19144306304892 22335024022374 33502536033561 44670048044748 67005072067122 134010144134244