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442430120321310 = 235115379320204761
BaseRepresentation
bin110010010011000110100101…
…0001010001110000100011110
32011000111220110210022012121010
41210212031022022032010132
5430442233341300240220
64204545331423320050
7162122343552634122
oct14446151212160436
92130456423265533
10442430120321310
11118a76618879080
1241755b08150026
1315cb3c9ac8a234
147b37a36b81582
153623951bb61e0
hex192634a28e11e

442430120321310 has 128 divisors (see below), whose sum is σ = 1195157870069760. Its totient is φ = 103900040524800.

The previous prime is 442430120321303. The next prime is 442430120321347. The reversal of 442430120321310 is 13123021034244.

It is a super-2 number, since 2×4424301203213102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 158720671 + ... + 161484090.

It is an arithmetic number, because the mean of its divisors is an integer number (9337170859920).

Almost surely, 2442430120321310 is an apocalyptic number.

442430120321310 is an abundant number, since it is smaller than the sum of its proper divisors (752727749748450).

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

442430120321310 is a wasteful number, since it uses less digits than its factorization.

442430120321310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320204914.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 442430120321310 its reverse (13123021034244), we get a palindrome (455553141355554).

The spelling of 442430120321310 in words is "four hundred forty-two trillion, four hundred thirty billion, one hundred twenty million, three hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 79 106 110 158 159 165 237 265 318 330 395 474 530 583 790 795 869 1166 1185 1590 1738 1749 2370 2607 2915 3498 4187 4345 5214 5830 8374 8690 8745 12561 13035 17490 20935 25122 26070 41870 46057 62805 92114 125610 138171 230285 276342 460570 690855 1381710 320204761 640409522 960614283 1601023805 1921228566 3202047610 3522252371 4803071415 7044504742 9606142830 10566757113 16970852333 17611261855 21133514226 25296176119 33941704666 35222523710 50592352238 50912556999 52833785565 75888528357 84854261665 101825113998 105667571130 126480880595 151777056714 169708523330 186679375663 252961761190 254562784995 278257937309 373358751326 379442641785 509125569990 556515874618 560038126989 758885283570 834773811927 933396878315 1120076253978 1340697334307 1391289686545 1669547623854 1866793756630 2681394668614 2782579373090 2800190634945 4022092002921 4173869059635 5600381269890 6703486671535 8044184005842 8347738119270 13406973343070 14747670677377 20110460014605 29495341354754 40220920029210 44243012032131 73738353386885 88486024064262 147476706773770 221215060160655 442430120321310