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442420034100003 = 333718134736719213
BaseRepresentation
bin110010010011000001111000…
…0111110010101101100100011
32011000110221102212022002002000
41210212003300332111230203
5430442102212212200003
64204540542520455043
7162121535610315111
oct14446036076255443
92130427385262060
10442420034100003
11118a72312423793
1241753b7231a483
1315cb3051471a4b
147b3735b3b6ab1
1536235614761a3
hex19260f0f95b23

442420034100003 has 128 divisors (see below), whose sum is σ = 680706385981440. Its totient is φ = 283777052244480.

The previous prime is 442420034099987. The next prime is 442420034100059. The reversal of 442420034100003 is 300001430024244.

It is a happy number.

442420034100003 is a `hidden beast` number, since 4 + 4 + 242 + 0 + 0 + 3 + 410 + 0 + 0 + 0 + 3 = 666.

It is not a de Polignac number, because 442420034100003 - 24 = 442420034099987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 442420034100003.

It is not an unprimeable number, because it can be changed into a prime (442420034100503) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23027109225 + ... + 23027128437.

It is an arithmetic number, because the mean of its divisors is an integer number (5318018640480).

Almost surely, 2442420034100003 is an apocalyptic number.

442420034100003 is a deficient number, since it is larger than the sum of its proper divisors (238286351881437).

442420034100003 is a wasteful number, since it uses less digits than its factorization.

442420034100003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20154 (or 20148 counting only the distinct ones).

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

Adding to 442420034100003 its reverse (300001430024244), we get a palindrome (742421464124247).

The spelling of 442420034100003 in words is "four hundred forty-two trillion, four hundred twenty billion, thirty-four million, one hundred thousand, three".

Divisors: 1 3 9 27 37 111 181 333 347 367 543 999 1041 1101 1629 3123 3303 4887 6697 9369 9909 12839 13579 19213 20091 38517 40737 57639 60273 62807 66427 115551 122211 127349 172917 180819 188421 199281 346653 366633 382047 518751 565263 597843 710881 1146141 1695789 1793529 2132643 2323859 2457799 3438423 3477553 4711913 6397929 6666911 6971577 7051171 7373397 10432659 14135739 19193787 20000733 20914731 21153513 22120191 23050169 31297977 42407217 60002199 62744193 63460539 66360573 69150507 93893931 127221651 128669461 180006597 190381617 207451521 246675707 260893327 386008383 622354563 740027121 782679981 852856253 1158025149 1206710891 1276261951 2220081363 2348039943 2446756337 2558568759 3474075447 3620132673 3828785853 6660244089 7044119829 7340269011 7675706277 10860398019 11486357559 22020807033 23027118831 32581194057 34459072677 44648302967 47221692187 66062421099 90529984469 133944908901 141665076561 271589953407 401834726703 424995229683 442862896997 814769860221 1205504180109 1274985689049 1328588690991 2444309580663 3985766072973 11957298218919 16385927188889 49157781566667 147473344700001 442420034100003