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434140143444 = 22337599733211
BaseRepresentation
bin1100101000101001100…
…01001101111101010100
31112111120222021100111000
412110110301031331110
524103104334042234
6531235145543300
743236253221630
oct6242461157524
91474528240430
10434140143444
1115813287a487
12701807a4b30
1331c29682557
1417026401dc0
15b45dc2b899
hex6514c4df54

434140143444 has 96 divisors (see below), whose sum is σ = 1308143692800. Its totient is φ = 121937654880.

The previous prime is 434140143401. The next prime is 434140143487. The reversal of 434140143444 is 444341041434.

434140143444 is a `hidden beast` number, since 4 + 34 + 1 + 40 + 143 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (434140143401) and next prime (434140143487).

It is a super-2 number, since 2×4341401434442 (a number of 24 digits) contains 22 as substring.

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 = 434140143399 and 434140143408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4822002 + ... + 4911209.

It is an arithmetic number, because the mean of its divisors is an integer number (13626496800).

Almost surely, 2434140143444 is an apocalyptic number.

It is an amenable number.

434140143444 is an abundant number, since it is smaller than the sum of its proper divisors (874003549356).

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

434140143444 is a wasteful number, since it uses less digits than its factorization.

434140143444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733290 (or 9733282 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 434140143444 its reverse (444341041434), we get a palindrome (878481184878).

The spelling of 434140143444 in words is "four hundred thirty-four billion, one hundred forty million, one hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 84 108 118 126 177 189 236 252 354 378 413 531 708 756 826 1062 1239 1593 1652 2124 2478 3186 3717 4956 6372 7434 11151 14868 22302 44604 9733211 19466422 29199633 38932844 58399266 68132477 87598899 116798532 136264954 175197798 204397431 262796697 272529908 350395596 408794862 525593394 574259449 613192293 817589724 1051186788 1148518898 1226384586 1722778347 1839576879 2297037796 2452769172 3445556694 3679153758 4019816143 5168335041 6891113388 7358307516 8039632286 10336670082 12059448429 15505005123 16079264572 20673340164 24118896858 31010010246 36178345287 48237793716 62020020492 72356690574 108535035861 144713381148 217070071722 434140143444