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433041030010134 = 233713175183761043
BaseRepresentation
bin110001001110110010011100…
…0110001000101010100010110
32002210021022120221102121212000
41202131210320301011110112
5423224421012140311014
64133000145225140130
7160133116262040510
oct14235447061052426
92083238527377760
10433041030010134
11115a867400a2307
124069a30492a646
1315782794a860b0
1478d1424bb8bb0
15350e5ce791509
hex189d938c45516

433041030010134 has 128 divisors (see below), whose sum is σ = 1254055471764480. Its totient is φ = 107490468966912.

The previous prime is 433041030010103. The next prime is 433041030010153. The reversal of 433041030010134 is 431010030140334.

433041030010134 is a `hidden beast` number, since 4 + 3 + 304 + 10 + 300 + 10 + 1 + 34 = 666.

It is a super-2 number, since 2×4330410300101342 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 433041030010098 and 433041030010107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2591796984 + ... + 2591964059.

It is an arithmetic number, because the mean of its divisors is an integer number (9797308373160).

Almost surely, 2433041030010134 is an apocalyptic number.

433041030010134 is an abundant number, since it is smaller than the sum of its proper divisors (821014441754346).

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

433041030010134 is a wasteful number, since it uses less digits than its factorization.

433041030010134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183761091 (or 5183761085 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 433041030010134 its reverse (431010030140334), we get a palindrome (864051060150468).

The spelling of 433041030010134 in words is "four hundred thirty-three trillion, forty-one billion, thirty million, ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 27 34 39 42 51 54 63 78 91 102 117 119 126 153 182 189 221 234 238 273 306 351 357 378 442 459 546 663 702 714 819 918 1071 1326 1547 1638 1989 2142 2457 3094 3213 3978 4641 4914 5967 6426 9282 11934 13923 27846 41769 83538 5183761043 10367522086 15551283129 31102566258 36286327301 46653849387 67388893559 72572654602 88123937731 93307698774 108858981903 134777787118 139961548161 176247875462 202166680677 217717963806 264371813193 279923096322 326576945709 404333361354 471722254913 528743626386 606500042031 616867564117 653153891418 793115439579 943444509826 979730837127 1145611190503 1213000084062 1233735128234 1415166764739 1586230879158 1819500126093 1850602692351 1959461674254 2291222381006 2379346318737 2830333529478 3436833571509 3639000252186 3701205384702 4245500294217 4758692637474 5551808077053 6873667143018 8019278333521 8491000588434 10310500714527 11103616154106 12736500882651 16038556667042 16655424231159 20621001429054 24057835000563 25473001765302 30931502143581 33310848462318 48115670001126 61863004287162 72173505001689 144347010003378 216520515005067 433041030010134