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10442210220024 = 2331139553826591
BaseRepresentation
bin1001011111110100010000…
…1110110001011111111000
31100222021011120202222012120
42113331010032301133320
52332041121304020044
634113030220441240
72125265463242262
oct227750416613770
940867146688176
1010442210220024
113366575494480
12120792b0a9220
135a99087184cb
1428159723ab32
1513195c3ad519
hex97f443b17f8

10442210220024 has 32 divisors (see below), whose sum is σ = 28478755146240. Its totient is φ = 3164306127200.

The previous prime is 10442210220019. The next prime is 10442210220067. The reversal of 10442210220024 is 42002201224401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10442210219976 and 10442210220003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19776913032 + ... + 19776913559.

It is an arithmetic number, because the mean of its divisors is an integer number (889961098320).

Almost surely, 210442210220024 is an apocalyptic number.

It is an amenable number.

10442210220024 is an abundant number, since it is smaller than the sum of its proper divisors (18036544926216).

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

10442210220024 is a wasteful number, since it uses less digits than its factorization.

10442210220024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39553826611 (or 39553826607 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10442210220024 its reverse (42002201224401), we get a palindrome (52444411444425).

The spelling of 10442210220024 in words is "ten trillion, four hundred forty-two billion, two hundred ten million, two hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 39553826591 79107653182 118661479773 158215306364 237322959546 316430612728 435092092501 474645919092 870184185002 949291838184 1305276277503 1740368370004 2610552555006 3480736740008 5221105110012 10442210220024