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10041223430142 = 23229367373140521
BaseRepresentation
bin1001001000011110011110…
…0011100011111111111110
31022112221011010101110222100
42102013213203203333332
52304003411144231032
633204512510125530
72054311606616652
oct222074743437776
938487133343870
1010041223430142
113221505941253
1211620814b08a6
1357ab63816a38
14269dd7da8a62
151262de04297c
hex921e78e3ffe

10041223430142 has 96 divisors (see below), whose sum is σ = 22628178967680. Its totient is φ = 3214189278720.

The previous prime is 10041223430071. The next prime is 10041223430159. The reversal of 10041223430142 is 24103432214001.

10041223430142 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 223 + 430 + 1 + 4 + 2 = 666.

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, 71386842 + ... + 71527362.

It is an arithmetic number, because the mean of its divisors is an integer number (235710197580).

Almost surely, 210041223430142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041223430142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314089483840).

10041223430142 is an abundant number, since it is smaller than the sum of its proper divisors (12586955537538).

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

10041223430142 is a wasteful number, since it uses less digits than its factorization.

10041223430142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141298 (or 141295 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10041223430142 its reverse (24103432214001), we get a palindrome (34144655644143).

The spelling of 10041223430142 in words is "ten trillion, forty-one billion, two hundred twenty-three million, four hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 367 373 522 734 746 1101 1119 2202 2238 3303 3357 6606 6714 10643 10817 21286 21634 31929 32451 63858 64902 95787 97353 136891 140521 191574 194706 273782 281042 410673 421563 821346 843126 1232019 1264689 2464038 2529378 3969839 4075109 7939678 8150218 11909517 12225327 23819034 24450654 35728551 36675981 51571207 52414333 71457102 73351962 103142414 104828666 154713621 157242999 309427242 314485998 464140863 471728997 928281726 943457994 1495565003 1520015657 2991130006 3040031314 4486695009 4560046971 8973390018 9120093942 13460085027 13680140913 19236060211 26920170054 27360281826 38472120422 57708180633 115416361266 173124541899 346249083798 557845746119 1115691492238 1673537238357 3347074476714 5020611715071 10041223430142