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42024422331 = 3217231093312
BaseRepresentation
bin100111001000110110…
…011100101110111011
311000110202100211212100
4213020312130232323
51142031223003311
631150013114443
73015255460503
oct471066345673
9130422324770
1042024422331
1116905766551
128189a88a23
133c695cabb8
1420693c2a03
15115e5c0a56
hex9c8d9cbbb

42024422331 has 72 divisors (see below), whose sum is σ = 67887499680. Its totient is φ = 24914926080.

The previous prime is 42024422309. The next prime is 42024422371. The reversal of 42024422331 is 13322442024.

42024422331 is a `hidden beast` number, since 4 + 202 + 4 + 422 + 3 + 31 = 666.

It is not a de Polignac number, because 42024422331 - 213 = 42024414139 is a prime.

It is a super-2 number, since 2×420244223312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42024422295 and 42024422304.

It is not an unprimeable number, because it can be changed into a prime (42024422371) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126961836 + ... + 126962166.

It is an arithmetic number, because the mean of its divisors is an integer number (942881940).

Almost surely, 242024422331 is an apocalyptic number.

42024422331 is a deficient number, since it is larger than the sum of its proper divisors (25863077349).

42024422331 is a wasteful number, since it uses less digits than its factorization.

42024422331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 483 counting only the distinct ones).

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

Adding to 42024422331 its reverse (13322442024), we get a palindrome (55346864355).

The spelling of 42024422331 in words is "forty-two billion, twenty-four million, four hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 17 23 51 69 109 153 207 327 331 391 981 993 1173 1853 2507 2979 3519 5559 5627 7521 7613 16677 16881 22563 22839 36079 42619 50643 68517 108237 109561 127857 129421 324711 328683 383571 388263 613343 829817 986049 1164789 1840029 1862537 2489451 2519903 5520087 5587611 7468353 7559709 11942149 14106889 16762833 22679127 35826447 42320667 42838351 107479341 126962001 128515053 203016533 274669427 385545159 609049599 824008281 1827148797 2472024843 4669380259 14008140777 42024422331