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444030312342 = 232397257337383
BaseRepresentation
bin1100111011000100100…
…01001101111110010110
31120110010020100222122210
412131202101031332112
524233333224443332
6535552410334250
744036325244401
oct6354221157626
91513106328583
10444030312342
11161348598791
1272080a2a386
1332b446964b6
14176c3b34d38
15b83c141ecc
hex676244df96

444030312342 has 128 divisors (see below), whose sum is σ = 945118347264. Its totient is φ = 138792665088.

The previous prime is 444030312311. The next prime is 444030312343. The reversal of 444030312342 is 243213030444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444030312343) 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, 1159347883 + ... + 1159348265.

It is an arithmetic number, because the mean of its divisors is an integer number (7383737088).

Almost surely, 2444030312342 is an apocalyptic number.

444030312342 is an abundant number, since it is smaller than the sum of its proper divisors (501088034922).

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

444030312342 is a wasteful number, since it uses less digits than its factorization.

444030312342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 444030312342 its reverse (243213030444), we get a palindrome (687243342786).

The spelling of 444030312342 in words is "four hundred forty-four billion, thirty million, three hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 23 46 69 97 138 194 257 291 337 383 514 582 674 766 771 1011 1149 1542 2022 2231 2298 4462 5911 6693 7751 8809 11822 13386 15502 17618 17733 23253 24929 26427 32689 35466 37151 46506 49858 52854 65378 74302 74787 86609 98067 98431 111453 129071 149574 173218 196134 196862 222906 258142 259827 295293 387213 519654 573367 590586 751847 774426 854473 1146734 1503694 1708946 1720101 1992007 2255541 2263913 2563419 2968633 3440202 3984014 4511082 4527826 5126838 5937266 5976021 6791739 8401073 8905899 9547807 11952042 12519887 13583478 16802146 17811798 19095614 25039774 25203219 28643421 33171247 37559661 50406438 57286842 66342494 75119322 99513741 193224679 199027482 219599561 287957401 386449358 439199122 575914802 579674037 658798683 762938681 863872203 1159348074 1317597366 1525877362 1727744406 2288816043 3217610959 4577632086 6435221918 9652832877 19305665754 74005052057 148010104114 222015156171 444030312342