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42320422402324 = 22112316389441479
BaseRepresentation
bin10011001111101011111011…
…01111100111100100010100
312112211210102000001102022221
421213311331233213210110
521021334211113333244
6230001422245232124
711625356343035623
oct1147657557474424
9175753360042287
1042320422402324
1112536a99178300
1248b5b93a02644
131a7ca4c9bb661
14a644685096ba
154d5cb8260784
hex267d7dbe7914

42320422402324 has 72 divisors (see below), whose sum is σ = 84044936102400. Its totient is φ = 18613065662400.

The previous prime is 42320422402301. The next prime is 42320422402333.

42320422402324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×423204224023242 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42320422402324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95639817 + ... + 96081295.

It is an arithmetic number, because the mean of its divisors is an integer number (1167290779200).

Almost surely, 242320422402324 is an apocalyptic number.

42320422402324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42320422402324 is a deficient number, since it is larger than the sum of its proper divisors (41724513700076).

42320422402324 is a wasteful number, since it uses less digits than its factorization.

42320422402324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447925 (or 447912 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 4232042 and 2402324, that added together give a palindrome (6634366).

The spelling of 42320422402324 in words is "forty-two trillion, three hundred twenty billion, four hundred twenty-two million, four hundred two thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 31 44 62 121 124 242 341 484 682 1364 3751 6389 7502 12778 15004 25556 70279 140558 198059 281116 396118 441479 773069 792236 882958 1546138 1765916 2178649 3092276 4357298 4856269 8714596 9712538 13685849 19425076 23965139 27371698 47930278 53418959 54743396 95860556 106837918 150544339 213675836 301088678 602177356 1655987729 2820609331 3311975458 5641218662 6623950916 11282437324 31026702641 62053405282 87438889261 124106810564 174877778522 341293729051 349755557044 682587458102 961827781871 1365174916204 1923655563742 3847311127484 10580105600581 21160211201162 42320422402324