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10440042020433 = 3317127349513169
BaseRepresentation
bin1001011111101100001011…
…1111101111111001010001
31100222001120110221000112000
42113323002333233321101
52332022201224123213
634112031124424213
72125160654660544
oct227730277577121
940861513830460
1010440042020433
113365662604a93
121207424b48069
135a965146c47c
1428142d2ba85b
15131881d73c73
hex97ec2fefe51

10440042020433 has 64 divisors (see below), whose sum is σ = 16552811520000. Its totient is φ = 6480400453632.

The previous prime is 10440042020411. The next prime is 10440042020459. The reversal of 10440042020433 is 33402024004401.

It is a happy number.

10440042020433 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 0 + 0 + 420 + 204 + 33 = 666.

It is not a de Polignac number, because 10440042020433 - 237 = 10302603066961 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10440042020397 and 10440042020406.

It is not an unprimeable number, because it can be changed into a prime (10440042020533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20087673 + ... + 20600841.

It is an arithmetic number, because the mean of its divisors is an integer number (258637680000).

Almost surely, 210440042020433 is an apocalyptic number.

It is an amenable number.

10440042020433 is a deficient number, since it is larger than the sum of its proper divisors (6112769499567).

10440042020433 is a wasteful number, since it uses less digits than its factorization.

10440042020433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513671 (or 513665 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10440042020433 its reverse (33402024004401), we get a palindrome (43842066024834).

The spelling of 10440042020433 in words is "ten trillion, four hundred forty billion, forty-two million, twenty thousand, four hundred thirty-three".

Divisors: 1 3 9 17 27 51 127 153 349 381 459 1047 1143 2159 3141 3429 5933 6477 9423 17799 19431 44323 53397 58293 132969 160191 398907 513169 753491 1196721 1539507 2260473 4618521 6781419 8723873 13855563 20344257 26171619 65172463 78514857 179095981 195517389 235544571 537287943 586552167 1107931871 1611863829 1759656501 3044631677 3323795613 4835591487 9133895031 9971386839 22745189587 27401685093 29914160517 68235568761 82205055279 204706706283 386668222979 614120118849 1160004668937 3480014006811 10440042020433