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424032024104442 = 233134329347943029
BaseRepresentation
bin110000001101001111010011…
…0001010111000110111111010
32001121101001202211102101102000
41200122132212022320313322
5421034320041132320232
64101501342254521430
7155213205564243345
oct14032364612706772
92047331684371360
10424032024104442
11113122a76129a16
123b6842b6b06276
131527b082159030
14769d38bdc145c
1534050a561d27c
hex181a7a62b8dfa

424032024104442 has 128 divisors (see below), whose sum is σ = 1041920940614400. Its totient is φ = 127002231804672.

The previous prime is 424032024104419. The next prime is 424032024104509. The reversal of 424032024104442 is 244401420230424.

424032024104442 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 3 + 202 + 4 + 1 + 0 + 4 + 442 = 666.

It is a super-2 number, since 2×4240320241044422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424032024104397 and 424032024104406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15127017 + ... + 32816012.

It is an arithmetic number, because the mean of its divisors is an integer number (8140007348550).

Almost surely, 2424032024104442 is an apocalyptic number.

424032024104442 is an abundant number, since it is smaller than the sum of its proper divisors (617888916509958).

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

424032024104442 is a wasteful number, since it uses less digits than its factorization.

424032024104442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47943389 (or 47943383 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 424032024104442 its reverse (244401420230424), we get a palindrome (668433444334866).

The spelling of 424032024104442 in words is "four hundred twenty-four trillion, thirty-two billion, twenty-four million, one hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 86 117 129 234 258 293 351 387 559 586 702 774 879 1118 1161 1677 1758 2322 2637 3354 3809 5031 5274 7618 7911 10062 11427 12599 15093 15822 22854 25198 30186 34281 37797 68562 75594 102843 113391 163787 205686 226782 327574 340173 491361 680346 982722 1474083 2948166 4422249 8844498 47943029 95886058 143829087 287658174 431487261 623259377 862974522 1246518754 1294461783 1869778131 2061550247 2588923566 3739556262 4123100494 5609334393 6184650741 11218668786 12369301482 14047307497 16828003179 18553952223 26800153211 28094614994 33656006358 37107904446 42141922491 53600306422 55661856669 80400459633 84283844982 111323713338 126425767473 160800919266 182614997461 241201378899 252851534946 365229994922 379277302419 482402757798 547844992383 604034222371 723604136697 758554604838 1095689984766 1208068444742 1447208273394 1643534977149 1812102667113 3287069954298 3624205334226 4930604931447 5436308001339 7852444890823 9861209862894 10872616002678 15704889781646 16308924004017 23557334672469 32617848008034 47114669344938 70672004017407 141344008034814 212016012052221 424032024104442